Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: The periodic case

DOI10.1090/S0002-9947-2012-05505-XzbMath1292.35268arXiv1005.4805MaRDI QIDQ4915329

Stéphane Vento, Luc Molinet

Publication date: 10 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4805

zbMATH Keywords

Cauchy problemviscositycritical index

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (9)

Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation ⋮ Well-posedness of the Cauchy problem for the kinetic DNLS on T ⋮ Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain ⋮ Sharp ill-posedness results for the KdV and mKdV equations on the torus ⋮ Well-posedness of the stochastic KdV-Burgers equation ⋮ CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION ⋮ The symmetric regularized-long-wave equation: well-posedness and nonlinear stability ⋮ On the well-posedness, ill-posedness and norm-inflation for a higher order water wave model on a periodic domain ⋮ Well-posedness of the generalized Burgers equation on a finite interval

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