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

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

2010-11-27

arxiv.org/abs/1011.5967v1

Mathematics

Analysis of PDEs

Scientific paper

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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