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On the well-posedness of the Cauchy problem for dissipative modified Korteweg-de Vries equations.

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Publication:601513
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zbMath1212.35407MaRDI QIDQ601513

Chen, Wengu, Chang Xing Miao

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

well-posednessmodified Korteweg-de Vries equationassociated Cauchy problemdissipative version


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)


Related Items (6)

Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ Analysis of 2 + 1 diffusive–dispersive PDE arising in river braiding ⋮ Global well-posedness and asymptotic behavior of stochastic mKdV equation with fractional dissipation ⋮ Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation ⋮ Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: The periodic case ⋮ On the low regularity of the fifth order Kadomtsev-Petviashvili I equation




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