메뉴 건너뛰기




Volumn 195, Issue 2, 2003, Pages 271-283

On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach

Author keywords

Convergence; Galerkin projections; Navier Stokes equations

Indexed keywords


EID: 0345116422     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.07.009     Document Type: Article
Times cited : (8)

References (9)
  • 1
    • 0000153785 scopus 로고
    • Low-dimensional behaviour in the complex Ginzburg - Landau equation
    • C. Doering, J. Gibbon, D. Holm, B. Nicolaenko, Low-dimensional behaviour in the complex Ginzburg - Landau equation, Nonlinearity 1 (1988) 279-309.
    • (1988) Nonlinearity , vol.1 , pp. 279-309
    • Doering, C.1    Gibbon, J.2    Holm, D.3    Nicolaenko, B.4
  • 2
    • 0344147558 scopus 로고    scopus 로고
    • New results in mathematical and statistical hydrodynamics
    • 334 (in Russian)
    • W. E, Y. Sinai, New results in mathematical and statistical hydrodynamics, Uspekhi Mat. Nauk 55(4(334)) (2000) 25-58 (in Russian).
    • (2000) Uspekhi Mat. Nauk , vol.55 , Issue.4 , pp. 25-58
    • Sinai, W.E.Y.1
  • 3
    • 33746636159 scopus 로고
    • Gevrey class regularity for the solutions of the Navier-Stokes equations
    • C. Foias, R. Temam, Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funct. Anal. 87 (2) (1989) 359-369.
    • (1989) J. Funct. Anal. , vol.87 , Issue.2 , pp. 359-369
    • Foias, C.1    Temam, R.2
  • 5
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer, Berlin
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations, in: Lecture Notes in Mathematics, Vol. 840, Springer, Berlin, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 6
    • 0003146128 scopus 로고
    • Fourier expansions of the solutions of the Navier-Stokes equations and their exponential decay rate
    • Gauthier - Villars, Montrouge
    • H.-O. Kreiss, Fourier expansions of the solutions of the Navier-Stokes equations and their exponential decay rate, in: Analyse Mathmatique et Applications, Gauthier - Villars, Montrouge, 1988, pp. 245-262.
    • (1988) Analyse Mathmatique et Applications , pp. 245-262
    • Kreiss, H.-O.1
  • 7
    • 22844453762 scopus 로고    scopus 로고
    • An elementary proof of the existence and uniqueness theorem for Navier-Stokes equations
    • J. Mattingly, Y. Sinai, An elementary proof of the existence and uniqueness theorem for Navier-Stokes equations, Comm. in Contemporary Math. 1 (4) (1999) 497-516.
    • (1999) Comm. in Contemporary Math. , vol.1 , Issue.4 , pp. 497-516
    • Mattingly, J.1    Sinai, Y.2
  • 8
    • 84876643850 scopus 로고    scopus 로고
    • Trapping regions and an ODE-type proof of an existence and uniqueness for Navier-Stokes equations with periodic boundary conditions on the plane
    • see also submitted for publication
    • P. Zgliczynski, Trapping regions and an ODE-type proof of an existence and uniqueness for Navier-Stokes equations with periodic boundary conditions on the plane, Univ. Iag. Acta Math., see also http://www.im.uj.edu.pl/~zgliczyn, submitted for publication.
    • Univ. Iag. Acta Math.
    • Zgliczynski, P.1
  • 9
    • 0344578972 scopus 로고    scopus 로고
    • Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation
    • P. Zgliczynski, K. Mischaikow, Rigorous numerics for partial differential equations: the Kuramoto-Sivashinsky equation, Found. Comput. Math. 1 (2001) 255-288.
    • (2001) Found. Comput. Math. , vol.1 , pp. 255-288
    • Zgliczynski, P.1    Mischaikow, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.