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Type: Artigo de periódico
Title: On The Well-posedness Of Higher Order Viscous Burgers' Equations
Author: Carvajal X.
Panthee M.
Abstract: We consider higher order viscous Burgers' equations with generalized nonlinearity and study the associated initial value problems for given data in the L2-based Sobolev spaces. We introduce appropriate time weighted spaces to derive multilinear estimates and use them in the contraction mapping principle argument to prove local well-posedness for data with Sobolev regularity below L2. We also prove ill-posedness for this type of models and show that the local well-posedness results are sharp in some particular cases viz., when the orders of dissipation p, and nonlinearity k+1, satisfy a relation p=2k+1. © 2014 Elsevier Inc.
Editor: Academic Press Inc.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2014.02.056
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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