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arXiv · 1011.5967

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

Marina Ghisi
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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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Marina Ghisi. 2010-11-27. Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations with weak dissipation. https://arxiv.org/abs/1011.5967

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