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|Type:||Artigo de periódico|
|Title:||On The Well-posedness Of Higher Order Viscous Burgers' Equations|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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