Multiscale homogenization of nonlinear hyperbolic-parabolic equations
Abdelhakim Dehamnia, Hamid Haddadou · Applications of Mathematics · 2022
summary:The main purpose of the present paper is to study the asymptotic behavior (when $\varepsilon \to 0$) 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.