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Multiscale homogenization of nonlinear hyperbolic-parabolic equations

Abdelhakim Dehamnia; Hamid Haddadou — 2023

Applications of Mathematics

The main purpose of the present paper is to study the asymptotic behavior (when $ε \to 0$ ) of the solution related to a nonlinear hyperbolic-parabolic problem given in a periodically heterogeneous domain with multiple spatial scales and one temporal scale. Under certain assumptions on the problem’s coefficients and based on a priori estimates and compactness results, we establish homogenization results by using the multiscale convergence method.

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