Estimates for solutions of Burgers type equations and some applications

2004/11/08 by Gennadi M. Henkin, G. Henkin, A. Shananin +6
Mathematics · #35J #35K #35L #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #math.AP #msc:35J #msc:35K #msc:35L

paper · pdf · doi:10.48550/arxiv.math/0411158

to appear in J. Math. Pure et Appl

arxiv created 2004/11/08 · openalex publication_date 2004/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain precise large time asymptotics for the Cauchy problem for Burgers type equations satisfying shock profile condition. The proofs are based on the exact a priori estimates for (local) solutions of these equations and a recent result of the first and second authors.

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