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...
Ausführliche Beschreibung
Autor*in: |
Shapovalov, A. V. [verfasserIn] |
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Englisch |
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2022 |
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Schlagwörter: |
nonlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation |
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© 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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Übergeordnetes Werk: |
Enthalten in: Russian physics journal - Springer International Publishing, 1992, 65(2022), 4 vom: Aug., Seite 695-702 |
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Übergeordnetes Werk: |
volume:65 ; year:2022 ; number:4 ; month:08 ; pages:695-702 |
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DOI / URN: |
10.1007/s11182-022-02687-1 |
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OLC2079857843 |
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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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10.1007/s11182-022-02687-1 doi (DE-627)OLC2079857843 (DE-He213)s11182-022-02687-1-p DE-627 ger DE-627 rakwb eng 530 370 VZ 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 ohne Hilfsmittel zu benutzen n rdamedia Band nc 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 active optical medium nonlocal kinetic equation formation of structures numerical solutions Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal Springer International Publishing, 1992 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY AR 65 2022 4 08 695-702 |
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10.1007/s11182-022-02687-1 doi (DE-627)OLC2079857843 (DE-He213)s11182-022-02687-1-p DE-627 ger DE-627 rakwb eng 530 370 VZ 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 ohne Hilfsmittel zu benutzen n rdamedia Band nc 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 active optical medium nonlocal kinetic equation formation of structures numerical solutions Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal Springer International Publishing, 1992 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY AR 65 2022 4 08 695-702 |
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10.1007/s11182-022-02687-1 doi (DE-627)OLC2079857843 (DE-He213)s11182-022-02687-1-p DE-627 ger DE-627 rakwb eng 530 370 VZ 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 ohne Hilfsmittel zu benutzen n rdamedia Band nc 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 active optical medium nonlocal kinetic equation formation of structures numerical solutions Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal Springer International Publishing, 1992 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY AR 65 2022 4 08 695-702 |
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10.1007/s11182-022-02687-1 doi (DE-627)OLC2079857843 (DE-He213)s11182-022-02687-1-p DE-627 ger DE-627 rakwb eng 530 370 VZ 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 ohne Hilfsmittel zu benutzen n rdamedia Band nc 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 active optical medium nonlocal kinetic equation formation of structures numerical solutions Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal Springer International Publishing, 1992 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY AR 65 2022 4 08 695-702 |
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10.1007/s11182-022-02687-1 doi (DE-627)OLC2079857843 (DE-He213)s11182-022-02687-1-p DE-627 ger DE-627 rakwb eng 530 370 VZ 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 ohne Hilfsmittel zu benutzen n rdamedia Band nc 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 active optical medium nonlocal kinetic equation formation of structures numerical solutions Kulagin, A. E. aut Siniukov, S. A. aut Enthalten in Russian physics journal Springer International Publishing, 1992 65(2022), 4 vom: Aug., Seite 695-702 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:65 year:2022 number:4 month:08 pages:695-702 https://doi.org/10.1007/s11182-022-02687-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY AR 65 2022 4 08 695-702 |
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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 |
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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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 |
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https://doi.org/10.1007/s11182-022-02687-1 |
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Kulagin, A. E. Siniukov, S. A. |
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Kulagin, A. E. Siniukov, S. A. |
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10.1007/s11182-022-02687-1 |
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2024-07-04T02:14:49.569Z |
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