We consider Kirchhoff equations with a small parameter in front of the second-order time-derivative 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 for the difference between such as solutions and the corresponding solutions of the limit problem
HYPERBOLIC-PARABOLIC SINGULAR PERTURBATION FOR MILDLY DEGENERATE KIRCHHOFF EQUATIONS WITH WEAK DISSIPATION
GHISI, MARINA
2012-01-01
Abstract
We consider Kirchhoff equations with a small parameter in front of the second-order time-derivative 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 for the difference between such as solutions and the corresponding solutions of the limit problemFile in questo prodotto:
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