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Volumn 341, Issue 7, 2005, Pages 457-460

Rapid convergence of Galerkin projection of the KdV equation

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EID: 26644435519     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.09.006     Document Type: Article
Times cited : (10)

References (11)
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    • Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond
    • J. Boussinesq Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond J. Math. Pures Appl. 17 1872 55-108
    • (1872) J. Math. Pures Appl. , vol.17 , pp. 55-108
    • Boussinesq, J.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 1989 359-369
    • (1989) J. Funct. Anal. , vol.87 , pp. 359-369
    • Foias, C.1    Temam, R.2
  • 4
    • 0012812499 scopus 로고
    • Analyticity of solutions of the Korteweg-de Vries equation
    • N. Hayashi Analyticity of solutions of the Korteweg-de Vries equation SIAM J. Math. Anal. 22 1991 1738-1743
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1738-1743
    • Hayashi, N.1
  • 5
    • 22944437907 scopus 로고    scopus 로고
    • -1 (T, ℝ)
    • Preprint, University of Zürich
    • -1 (T, ℝ), Preprint, University of Zürich
    • Kappeler, T.1    Topalov, P.2
  • 7
    • 0030528276 scopus 로고    scopus 로고
    • A bilinear estimate with applications to the KdV equation
    • C.E. Kenig G. Ponce L. Vega A bilinear estimate with applications to the KdV equation J. Amer. Math. Soc. 9 1996 573-603
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 573-603
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 8
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular channel and on a new type of long stationary wave
    • D.J. Korteweg G. de Vries On the change of form of long waves advancing in a rectangular channel and on a new type of long stationary wave Philos. Mag. 39 1895 422-443
    • (1895) Philos. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.J.1    de Vries, G.2
  • 9
    • 0039004073 scopus 로고
    • Error analysis for spectral approximation of the Korteweg-de Vries equation
    • Y. Maday A. Quarteroni Error analysis for spectral approximation of the Korteweg-de Vries equation RAIRO Modél. Math. Anal. 22 1988 499-529
    • (1988) RAIRO Modél. Math. Anal. , vol.22 , pp. 499-529
    • Maday, Y.1    Quarteroni, A.2
  • 10
    • 48549108442 scopus 로고
    • Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
    • T. Taha M. Ablowitz Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation J. Comput. Phys. 55 1984 231-253
    • (1984) J. Comput. Phys. , vol.55 , pp. 231-253
    • Taha, T.1    Ablowitz, M.2
  • 11
    • 0000600898 scopus 로고
    • Sur un problème non linéaire
    • R. Temam Sur un problème non linéaire J. Math. Pures Appl. 48 1969 159-172
    • (1969) J. Math. Pures Appl. , vol.48 , pp. 159-172
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.