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Keywords:
nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method
nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method
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.
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