Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium

Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern...
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Autor*in:	Shapovalov, A. V. [verfasserIn] Kulagin, A. E. Siniukov, S. A.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation active optical medium nonlocal kinetic equation formation of structures numerical solutions

Anmerkung:	© Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Russian physics journal - New York, NY [u.a.] : Consultants Bureau, 1965, 65(2022), 4 vom: Aug., Seite 695-702
Übergeordnetes Werk:	volume:65 ; year:2022 ; number:4 ; month:08 ; pages:695-702

Links:	Volltext

DOI / URN:	10.1007/s11182-022-02687-1

Katalog-ID:	SPR048473146

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520			\|a Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied.
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700	1		\|a Kulagin, A. E. \|4 aut
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912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
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allfields	10.1007/s11182-022-02687-1 doi (DE-627)SPR048473146 (SPR)s11182-022-02687-1-e DE-627 ger DE-627 rakwb eng Shapovalov, A. V. verfasserin aut Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213 Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal New York, NY [u.a.] : Consultants Bureau, 1965 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)325572518 (DE-600)2037572-4 1573-9228 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://dx.doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 65 2022 4 08 695-702
spelling	10.1007/s11182-022-02687-1 doi (DE-627)SPR048473146 (SPR)s11182-022-02687-1-e DE-627 ger DE-627 rakwb eng Shapovalov, A. V. verfasserin aut Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213 Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal New York, NY [u.a.] : Consultants Bureau, 1965 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)325572518 (DE-600)2037572-4 1573-9228 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://dx.doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 65 2022 4 08 695-702
allfields_unstemmed	10.1007/s11182-022-02687-1 doi (DE-627)SPR048473146 (SPR)s11182-022-02687-1-e DE-627 ger DE-627 rakwb eng Shapovalov, A. V. verfasserin aut Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213 Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal New York, NY [u.a.] : Consultants Bureau, 1965 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)325572518 (DE-600)2037572-4 1573-9228 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://dx.doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 65 2022 4 08 695-702
allfieldsGer	10.1007/s11182-022-02687-1 doi (DE-627)SPR048473146 (SPR)s11182-022-02687-1-e DE-627 ger DE-627 rakwb eng Shapovalov, A. V. verfasserin aut Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213 Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal New York, NY [u.a.] : Consultants Bureau, 1965 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)325572518 (DE-600)2037572-4 1573-9228 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://dx.doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 65 2022 4 08 695-702
allfieldsSound	10.1007/s11182-022-02687-1 doi (DE-627)SPR048473146 (SPR)s11182-022-02687-1-e DE-627 ger DE-627 rakwb eng Shapovalov, A. V. verfasserin aut Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213 Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal New York, NY [u.a.] : Consultants Bureau, 1965 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)325572518 (DE-600)2037572-4 1573-9228 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://dx.doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 65 2022 4 08 695-702
language	English
source	Enthalten in Russian physics journal 65(2022), 4 vom: Aug., Seite 695-702 volume:65 year:2022 number:4 month:08 pages:695-702
sourceStr	Enthalten in Russian physics journal 65(2022), 4 vom: Aug., Seite 695-702 volume:65 year:2022 number:4 month:08 pages:695-702
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation active optical medium nonlocal kinetic equation formation of structures numerical solutions
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container_title	Russian physics journal
authorswithroles_txt_mv	Shapovalov, A. V. @@aut@@ Kulagin, A. E. @@aut@@ Siniukov, S. A. @@aut@@
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author	Shapovalov, A. V.
spellingShingle	Shapovalov, A. V. misc nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation misc active optical medium misc nonlocal kinetic equation misc formation of structures misc numerical solutions Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium
authorStr	Shapovalov, A. V.
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topic_title	Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation (dpeaa)DE-He213 active optical medium (dpeaa)DE-He213 nonlocal kinetic equation (dpeaa)DE-He213 formation of structures (dpeaa)DE-He213 numerical solutions (dpeaa)DE-He213
topic	misc nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation misc active optical medium misc nonlocal kinetic equation misc formation of structures misc numerical solutions
topic_unstemmed	misc nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation misc active optical medium misc nonlocal kinetic equation misc formation of structures misc numerical solutions
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title	Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium
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title_full	Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium
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title_sort	pattern formation in a nonlocal fisher–kolmogorov–petrovsky–piskunov model and in a nonlocal model of the kinetics of an metal vapor active medium
title_auth	Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium
abstract	Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatiotemporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods have been used to compare the processes of spatiotemporal pattern formation in a nonlocal population model described by a one-dimensional generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation with nonlocal competitive losses and in a two-dimensional nonlocal version of the kinetic model of quasi-neutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied. © Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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container_issue	4
title_short	Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium
url	https://dx.doi.org/10.1007/s11182-022-02687-1
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author2	Kulagin, A. E. Siniukov, S. A.
author2Str	Kulagin, A. E. Siniukov, S. A.
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doi_str	10.1007/s11182-022-02687-1
up_date	2024-07-03T19:26:42.687Z
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Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium

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