Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations with weak dissipation

2010/11/27 by Marina Ghisi, Ghisi, Marina
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1011.5967

arxiv created 2010/11/27 · arxiv updated 2010/11/30

Abstract

We consider mildly degenerate Kirchhoff equations with a small parameter and a weak dissipation term. We prove the existence of global solutions when the parameter is small with respect to the size of initial data. Then we provide global-in-time error estimates on the difference between the solution of our problem and the solution of the corresponding first order problem.

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