Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations
Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through L...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Eden, A. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Anmerkung: |
© Plenum Publishing Corporation 1994 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamics and differential equations - Kluwer Academic Publishers-Plenum Publishers, 1989, 6(1994), 2 vom: Apr., Seite 301-323 |
|---|---|
| Übergeordnetes Werk: |
volume:6 ; year:1994 ; number:2 ; month:04 ; pages:301-323 |
| Links: |
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| DOI / URN: |
10.1007/BF02218532 |
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OLC2063452717 |
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| 520 | |a Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. | ||
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10.1007/BF02218532 doi (DE-627)OLC2063452717 (DE-He213)BF02218532-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eden, A. verfasserin aut Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1994 Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. Foias, C. aut Nicolaenko, B. aut Enthalten in Journal of dynamics and differential equations Kluwer Academic Publishers-Plenum Publishers, 1989 6(1994), 2 vom: Apr., Seite 301-323 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:6 year:1994 number:2 month:04 pages:301-323 https://doi.org/10.1007/BF02218532 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 AR 6 1994 2 04 301-323 |
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10.1007/BF02218532 doi (DE-627)OLC2063452717 (DE-He213)BF02218532-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eden, A. verfasserin aut Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1994 Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. Foias, C. aut Nicolaenko, B. aut Enthalten in Journal of dynamics and differential equations Kluwer Academic Publishers-Plenum Publishers, 1989 6(1994), 2 vom: Apr., Seite 301-323 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:6 year:1994 number:2 month:04 pages:301-323 https://doi.org/10.1007/BF02218532 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 AR 6 1994 2 04 301-323 |
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10.1007/BF02218532 doi (DE-627)OLC2063452717 (DE-He213)BF02218532-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eden, A. verfasserin aut Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1994 Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. Foias, C. aut Nicolaenko, B. aut Enthalten in Journal of dynamics and differential equations Kluwer Academic Publishers-Plenum Publishers, 1989 6(1994), 2 vom: Apr., Seite 301-323 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:6 year:1994 number:2 month:04 pages:301-323 https://doi.org/10.1007/BF02218532 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 AR 6 1994 2 04 301-323 |
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10.1007/BF02218532 doi (DE-627)OLC2063452717 (DE-He213)BF02218532-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eden, A. verfasserin aut Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1994 Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. Foias, C. aut Nicolaenko, B. aut Enthalten in Journal of dynamics and differential equations Kluwer Academic Publishers-Plenum Publishers, 1989 6(1994), 2 vom: Apr., Seite 301-323 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:6 year:1994 number:2 month:04 pages:301-323 https://doi.org/10.1007/BF02218532 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 AR 6 1994 2 04 301-323 |
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10.1007/BF02218532 doi (DE-627)OLC2063452717 (DE-He213)BF02218532-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Eden, A. verfasserin aut Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1994 Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. Foias, C. aut Nicolaenko, B. aut Enthalten in Journal of dynamics and differential equations Kluwer Academic Publishers-Plenum Publishers, 1989 6(1994), 2 vom: Apr., Seite 301-323 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:6 year:1994 number:2 month:04 pages:301-323 https://doi.org/10.1007/BF02218532 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 AR 6 1994 2 04 301-323 |
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Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. The fractal dimension estimate of the exponential attractor thus obtained is of the same order as the one for global attractors estimated through Lyapunov exponents. We discuss various applications to Navier-Stokes systems. © Plenum Publishing Corporation 1994 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2063452717</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503135333.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s1994 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02218532</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2063452717</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02218532-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Eden, A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 1994</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper we present a new construction of exponential attractors based on the control of Lyapunov exponents over a compact, invariant set. 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