메뉴 건너뛰기




Volumn 19, Issue 11, 2006, Pages

Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33846058831     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/19/11/008     Document Type: Review
Times cited : (70)

References (42)
  • 4
    • 2142768721 scopus 로고    scopus 로고
    • Global attractors for damped semilinear wave equations
    • Ball J M 2004 Global attractors for damped semilinear wave equations Discrete Contin. Dyn. Syst. 10 31-52
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 31-52
    • Ball, J.M.1
  • 6
    • 27644585598 scopus 로고    scopus 로고
    • Pullback and forward attractors for a damped wave equation with delays
    • Caraballo T, Kloeden P E and Real J 2004 Pullback and forward attractors for a damped wave equation with delays Stochastic. Dyn. 4 405-23
    • (2004) Stochastic. Dyn. , vol.4 , Issue.3 , pp. 405-423
    • Caraballo, T.1    Kloeden, P.E.2    Real, J.3
  • 7
    • 28844492995 scopus 로고    scopus 로고
    • Pullback attractors for asymptotically compact non-autonomous dynamical systems
    • Caraballo T, Lukaszewicz G and Real J 2006 Pullback attractors for asymptotically compact non-autonomous dynamical systems Nonlin. Anal. TMA 64 484-98
    • (2006) Nonlin. Anal. TMA , vol.64 , Issue.3 , pp. 484-498
    • Caraballo, T.1    Lukaszewicz, G.2    Real, J.3
  • 8
    • 31344460115 scopus 로고    scopus 로고
    • Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
    • Caraballo T, Lukaszewicz G and Real J 2006 Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains C. R. Acad. Sci. Paris Ser. I 342 263-8
    • (2006) C. R. Acad. Sci. Paris Ser. I , vol.342 , Issue.4 , pp. 263-268
    • Caraballo, T.1    Lukaszewicz, G.2    Real, J.3
  • 9
    • 4344688565 scopus 로고    scopus 로고
    • Attractors for 2D-Navier-Stokes models with delays
    • Caraballo T and Real J 2004 Attractors for 2D-Navier-Stokes models with delays J. Diff. Eqns. 205 271-97
    • (2004) J. Diff. Eqns. , vol.205 , pp. 271-297
    • Caraballo, T.1    Real, J.2
  • 12
    • 28844477259 scopus 로고    scopus 로고
    • Almost periodic motions and global attractors of the non-autonomous Navier-Stokes equations
    • Cheban D N and Duan J 2004 Almost periodic motions and global attractors of the non-autonomous Navier-Stokes equations J. Dyn. Diff. Eqns. 16 1-34
    • (2004) J. Dyn. Diff. Eqns. , vol.16 , Issue.1 , pp. 1-34
    • Cheban, D.N.1    Duan, J.2
  • 13
    • 0038058212 scopus 로고    scopus 로고
    • The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems
    • Cheban D N, Kloeden P E and Schmalfuss B 2002 The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems Nonlin. Dyn. Syst. Theory 2 9-28
    • (2002) Nonlin. Dyn. Syst. Theory , vol.2 , pp. 9-28
    • Cheban, D.N.1    Kloeden, P.E.2    Schmalfuss, B.3
  • 14
    • 0038543940 scopus 로고    scopus 로고
    • Attractors for Equations of Mathematical Physics
    • Chepyzhov V V and Vishik M I 2002 Attractors for Equations of Mathematical Physics Amer. Math. Soc. Colloq. Publ. vol 49 (Providence, RI: American Mathematical Society)
    • (2002) Amer. Math. Soc. Colloq. Publ. , vol.49
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 15
    • 0034349017 scopus 로고    scopus 로고
    • KAM tori for 1D wave equations with periodic boundary conditions
    • Chierchia L and You J 2000 KAM tori for 1D wave equations with periodic boundary conditions Commun. Math. Phys. 211 497-525
    • (2000) Commun. Math. Phys. , vol.211 , Issue.2 , pp. 497-525
    • Chierchia, L.1    You, J.2
  • 16
    • 33751525020 scopus 로고    scopus 로고
    • Attractors for second-order evolution equations with nonlinear damping
    • Chueshov I and Lasiecka I 2004 Attractors for second-order evolution equations with nonlinear damping J. Dyn. Diff. Eqns. 16 469-512
    • (2004) J. Dyn. Diff. Eqns. , vol.16 , Issue.2 , pp. 469-512
    • Chueshov, I.1    Lasiecka, I.2
  • 17
    • 33751504974 scopus 로고    scopus 로고
    • Long-time behaviour of second evolution equations with nonlinear damping
    • Chueshov I and Lasiecka I 2006 Long-time behaviour of second evolution equations with nonlinear damping Mem. AMS at press
    • (2006) Mem. AMS
    • Chueshov, I.1    Lasiecka, I.2
  • 19
    • 0000220290 scopus 로고
    • Global attractors for damped wave equations with supercritical exponent
    • Feireisl E 1995 Global attractors for damped wave equations with supercritical exponent J. Differ. Eqns. 116 431-47
    • (1995) J. Differ. Eqns. , vol.116 , Issue.2 , pp. 431-447
    • Feireisl, E.1
  • 20
    • 0001050651 scopus 로고
    • Longtime behaviour of strongly damped wave equations, global attractors and their dimension
    • Ghidagla J M and Marzocchi A 1991 Longtime behaviour of strongly damped wave equations, global attractors and their dimension SIAM J. Math. Anal. 22 879-95
    • (1991) SIAM J. Math. Anal. , vol.22 , Issue.4 , pp. 879-895
    • Ghidagla, J.M.1    Marzocchi, A.2
  • 23
    • 33846049640 scopus 로고
    • Recent results on semilinear wave equations with dissipation
    • Haraux A 1986 Recent results on semilinear wave equations with dissipation Pitman Res. Notes Math. 141 150-7
    • (1986) Pitman Res. Notes Math. , vol.141 , pp. 150-157
    • Haraux, A.1
  • 24
    • 33846054042 scopus 로고    scopus 로고
    • Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations
    • Ilyin A A, Miranville A and Titi E S 2004 Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations Commun. Math. Sci. 2 403-26
    • (2004) Commun. Math. Sci. , vol.2 , pp. 403-426
    • Ilyin, A.A.1    Miranville, A.2    Titi, E.S.3
  • 25
    • 33644657073 scopus 로고    scopus 로고
    • Global attractors for von Karman equations with nonlinear interior dissipation
    • Khanmamedov A Kh 2006 Global attractors for von Karman equations with nonlinear interior dissipation J. Math. Anal. Appl. 318 92-101
    • (2006) J. Math. Anal. Appl. , vol.318 , Issue.1 , pp. 92-101
    • Khanmamedov, A.Kh.1
  • 26
    • 33751188097 scopus 로고    scopus 로고
    • Finite fractal dimension of pullback attractors for non-autonomous 2D Navier-Stokes equations in some unbounded domains
    • Langa J, Lukaszewicz G and Real J Finite fractal dimension of pullback attractors for non-autonomous 2D Navier-Stokes equations in some unbounded domains Nonlin. Anal. TMA doi: 10.1016/j.na.2005.12.017
    • Nonlin. Anal. TMA
    • Langa, J.1    Lukaszewicz, G.2    Real, J.3
  • 27
    • 35949017719 scopus 로고
    • Soliton excitations in Josephson tunnel junctions
    • Landahl P S, Soerensen O H and Christiansen P L 1982 Soliton excitations in Josephson tunnel junctions Phys. Rev. B 25 5737-48
    • (1982) Phys. Rev. , vol.25 , Issue.9 , pp. 5737-5748
    • Landahl, P.S.1    Soerensen, O.H.2    Christiansen, P.L.3
  • 28
    • 28844455322 scopus 로고    scopus 로고
    • Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations
    • Langa J A and Schmalfuss B 2004 Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations Stochastic. Dyn. 3 385-404
    • (2004) Stochastic. Dyn. , vol.4 , Issue.3 , pp. 385-404
    • Langa, J.A.1    Schmalfuss, B.2
  • 30
    • 1842765554 scopus 로고    scopus 로고
    • Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
    • Lukaszewicz G and Sadowski W 2004 Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains Z. Angew. Math. Phys. 55 1-11
    • (2004) Z. Angew. Math. Phys. , vol.55 , pp. 1-11
    • Lukaszewicz, G.1    Sadowski, W.2
  • 32
    • 2142698531 scopus 로고    scopus 로고
    • Attractors for noncompact nonautonomous systems via energy equations
    • Moise I, Rosa R and Wang X 2004 Attractors for noncompact nonautonomous systems via energy equations Discrete Contin. Dyn. Syst. 10 473-96
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 473-496
    • Moise, I.1    Rosa, R.2    Wang, X.3
  • 33
    • 33749382562 scopus 로고    scopus 로고
    • A remark on the damped wave equation
    • Pata V and Zelik S 2006 A remark on the damped wave equation Commun. Pure Appl. Anal. 5 609-14
    • (2006) Commun. Pure Appl. Anal. , vol.5 , pp. 609-614
    • Pata, V.1    Zelik, S.2
  • 38
    • 33646699348 scopus 로고    scopus 로고
    • Global attractors for the wave equation with nonlinear damping
    • Sun C Y, Yang M H and Zhong C K 2006 Global attractors for the wave equation with nonlinear damping J. Differ. Eqns. 227 427-43
    • (2006) J. Differ. Eqns. , vol.227 , Issue.2 , pp. 427-443
    • Sun, C.Y.1    Yang M, H.2    Zhong, C.K.3
  • 41
    • 33645129548 scopus 로고    scopus 로고
    • The existence of global attractors for the norm-to-weak continuous semigroup and its application to the nonlinear reaction-diffusion equations
    • Zhong C K, Yang M H and Sun C Y 2006 The existence of global attractors for the norm-to-weak continuous semigroup and its application to the nonlinear reaction-diffusion equations J. Diff. Eqns. 223 367-99
    • (2006) J. Diff. Eqns. , vol.223 , Issue.2 , pp. 367-399
    • Zhong, C.K.1    Yang, M.H.2    Sun, C.Y.3
  • 42
    • 0037360750 scopus 로고    scopus 로고
    • Kernel sections for damped non-autonomous wave equations with critical exponent
    • Zhou S F and Wang L S 2003 Kernel sections for damped non-autonomous wave equations with critical exponent Discrete Contin. Dyn. Syst. 9 399-412
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 399-412
    • Zhou, S.F.1    Wang, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.