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Volumn 10, Issue 1-2, 2004, Pages 211-238

Uniform exponential attractors for a singularly perturbed damped wave equation

Author keywords

Reaction diffusion equations; Singularly perturbed damped wave equations; Time boundary layer; Uniform exponential at tractors

Indexed keywords


EID: 0842305560     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2004.10.211     Document Type: Article
Times cited : (146)

References (27)
  • 2
    • 0000110024 scopus 로고
    • Exponential attractors of reaction-diffusion systems in an unbounded domain
    • [BN]
    • [BN] A. Babin and B. Nicolaenko, Exponential attractors of reaction-diffusion systems in an unbounded domain, J. Dyn. Diff. Eqns., 7 (1995), 567-590.
    • (1995) J. Dyn. Diff. Eqns. , vol.7 , pp. 567-590
    • Babin, A.1    Nicolaenko, B.2
  • 3
    • 0038543940 scopus 로고    scopus 로고
    • Attractors for equations of mathematical physics
    • [CV], Providence, RI
    • [CV] V. V. Chepyzhov and M. I. Vishik, "Attractors for equations of mathematical physics", AMS, Providence, RI, 2002.
    • (2002) AMS
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 6
    • 2142843457 scopus 로고    scopus 로고
    • On the dimension of the global attractor for dissipative reaction-diffusion systems
    • [EfM2], To appear
    • [EfM2] M. Efendiev and A. Miranville, On the dimension of the global attractor for dissipative reaction-diffusion systems, Appl. Math. Letters, To appear.
    • Appl. Math. Letters
    • Efendiev, M.1    Miranville, A.2
  • 8
    • 2142784159 scopus 로고    scopus 로고
    • Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system
    • [EfMZ2], To appear
    • [EfMZ2] M. Efendiev, A. Miranville and S. Zelik, Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system, Math. Nachrichten, To appear.
    • Math. Nachrichten
    • Efendiev, M.1    Miranville, A.2    Zelik, S.3
  • 9
    • 85019400152 scopus 로고    scopus 로고
    • Exponential attractors for a singularly perturbed Cahn-Hilliard system
    • [EfMZ3], To appear
    • [EfMZ3] M. Efendiev, A. Miranville and S. Zelik, Exponential attractors for a singularly perturbed Cahn-Hilliard system, Math. Nachrichten, To appear.
    • Math. Nachrichten
    • Efendiev, M.1    Miranville, A.2    Zelik, S.3
  • 10
    • 0030520179 scopus 로고    scopus 로고
    • Exponential attractors for the slightly compressible 2D Navier-Stokes equations
    • [FG1]
    • [FG1] P. Fabrie and C. Galusinski, Exponential attractors for the slightly compressible 2D Navier-Stokes equations, Disc. Cont. Dyn. Systems, 2 (3) (1996), 315-348.
    • (1996) Disc. Cont. Dyn. Systems , vol.2 , Issue.3 , pp. 315-348
    • Fabrie, P.1    Galusinski, C.2
  • 11
    • 0000992560 scopus 로고    scopus 로고
    • Exponential attractors for a partially dissipative reaction system
    • [FG2]
    • [FG2] P. Fabrie and C. Galusinski, Exponential attractors for a partially dissipative reaction system, Asymptotic Anal., 12 (1996), 329-354.
    • (1996) Asymptotic Anal. , vol.2 , pp. 329-354
    • Fabrie, P.1    Galusinski, C.2
  • 12
    • 0346110724 scopus 로고    scopus 로고
    • Uniform inertial sets for damped wave equations
    • [FGM]
    • [FGM] P. Fabrie, C. Galusinski and A. Miranville, Uniform inertial sets for damped wave equations, Disc. Cont. Dyn. Systems, 6 (2) (2000), 393-418.
    • (2000) Disc. Cont. Dyn. Systems , vol.6 , Issue.2 , pp. 393-418
    • Fabrie, P.1    Galusinski, C.2    Miranville, A.3
  • 13
    • 0032391989 scopus 로고    scopus 로고
    • Exponential attractors for nonautonomous first-order evolution equations
    • [FM]
    • [FM] P. Fabrie and A. Miranville, Exponential attractors for nonautonomous first-order evolution equations, Disc. Cont. Dyn. Systems, 4 (2) (1998), 225-240.
    • (1998) Disc. Cont. Dyn. Systems , vol.4 , Issue.2 , pp. 225-240
    • Fabrie, P.1    Miranville, A.2
  • 14
    • 0037953440 scopus 로고    scopus 로고
    • Attracteurs exponentiels pour un modèle de convection naturelle en milieu poreux partiellement dissipatif
    • [FN]
    • [FN] P. Fabrie and B. Nicolaenko, Attracteurs exponentiels pour un modèle de convection naturelle en milieu poreux partiellement dissipatif, Asymptotic Anal., 12 (1996), 295-327.
    • (1996) Asymptotic Anal. , vol.12 , pp. 295-327
    • Fabrie, P.1    Nicolaenko, B.2
  • 15
    • 0000640733 scopus 로고
    • Inertial manifolds for nonlinear evolution equations
    • [FoST]
    • [FoST] G. Foias, G. Sell and R. Temam, Inertial manifolds for nonlinear evolution equations, J. Diff. Eqns., 73 (1988), 309-353.
    • (1988) J. Diff. Eqns. , vol.73 , pp. 309-353
    • Foias, G.1    Sell, G.2    Temam, R.3
  • 16
    • 0003282201 scopus 로고
    • Asymptotic behavior of dissipative systems
    • [H], Amer. Math. Soc., Providence, RI
    • [H] J. Hale, "Asymptotic behavior of dissipative systems", Math. Surveys and Mon., Vol. 25, Amer. Math. Soc., Providence, RI, 1987.
    • (1987) Math. Surveys and Mon. , vol.25
    • Hale, J.1
  • 17
    • 0003366172 scopus 로고
    • ε-entropy and ε-capacity of sets in functional spaces
    • [KT], Dordrecht: Kluver
    • [KT] A. N. Kolmogorov and V. M. Tikhomirov, ε-entropy and ε-capacity of sets in functional spaces, In "Selected works of A. N. Kolmogorov", Vol. 3 (1993), Dordrecht: Kluver.
    • (1993) Selected Works of A. N. Kolmogorov , vol.3
    • Kolmogorov, A.N.1    Tikhomirov, V.M.2
  • 18
    • 0000892579 scopus 로고    scopus 로고
    • Rate of attraction to a non-hyperbolic attractor
    • [Ko]
    • [Ko] I. N. Kostin, Rate of attraction to a non-hyperbolic attractor, Asymptotic Anal., 16 (3-4) (1998), 203-222.
    • (1998) Asymptotic Anal. , vol.16 , Issue.3-4 , pp. 203-222
    • Kostin, I.N.1
  • 20
    • 0007090286 scopus 로고    scopus 로고
    • Exponential attractors in Banach spaces
    • [LdN]
    • [LdN] Le Dung and B. Nicolaenko, Exponential attractors in Banach spaces, J. Dyn. Diff. Eqns., 13 (4) (2001), 791-806.
    • (2001) J. Dyn. Diff. Eqns. , vol.13 , Issue.4 , pp. 791-806
    • Dung, L.1    Nicolaenko, B.2
  • 21
    • 0032615505 scopus 로고    scopus 로고
    • Exponential attractors for a class of evolution equations by a decomposition method
    • [M1]
    • [M1] A. Miranville, Exponential attractors for a class of evolution equations by a decomposition method, C. R. Acad. Sci. Paris, 328 (1999), 145-150.
    • (1999) C. R. Acad. Sci. Paris , vol.328 , pp. 145-150
    • Miranville, A.1
  • 22
    • 17644428451 scopus 로고    scopus 로고
    • Exponential attractors for a class of evolution equations by a decomposition method. II. The nonautonomous case
    • [M2]
    • [M2] A. Miranville, Exponential attractors for a class of evolution equations by a decomposition method. II. The nonautonomous case, C. R. Acad. Sci. Paris, 328 (1999), 907-912.
    • (1999) C. R. Acad. Sci. Paris , vol.328 , pp. 907-912
    • Miranville, A.1
  • 23
    • 52449122675 scopus 로고    scopus 로고
    • Robust exponential attractors for singularly perturbed phase-field type equations
    • [MZ]
    • [MZ] A. Miranville and S. Zelik, Robust exponential attractors for singularly perturbed phase-field type equations, Electronic J. Diff. Eqns., 2002 (63) (2002), 1-28.
    • (2002) Electronic J. Diff. Eqns. , vol.2002 , Issue.63 , pp. 1-28
    • Miranville, A.1    Zelik, S.2
  • 24
    • 2142669370 scopus 로고    scopus 로고
    • Singularly perturbed hyperbolic equations revisited
    • [R], (eds. B. Fiedler, K. Gröger and J. Sprekels), World Scientific
    • [R] G. Raugel, Singularly perturbed hyperbolic equations revisited, in "Proceedings of Equadiff 99", (eds. B. Fiedler, K. Gröger and J. Sprekels), World Scientific (2000).
    • (2000) Proceedings of Equadiff , vol.99
    • Raugel, G.1
  • 27
    • 0001561763 scopus 로고
    • Regular degeneration and boundary layer for linear differential equations with small parameter
    • [VLy]
    • [VLy] M. I. Vishik and L. A. Lyusternik, Regular degeneration and boundary layer for linear differential equations with small parameter, Amer. Math. Soc. Trans., 20 (2) (1962), 239-364.
    • (1962) Amer. Math. Soc. Trans. , vol.20 , Issue.2 , pp. 239-364
    • Vishik, M.I.1    Lyusternik, L.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.