Geodesic
Multiscale homogenization of nonlinear hyperbolic-parabolic equations
Applications of Mathematics, Tome 68 (2023) no. 2, pp. 153-169

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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.
DOI : 10.21136/AM.2022.0160-21
Classification : 34M10, 35B27, 35B40
Keywords: nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method 
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Dehamnia, Abdelhakim; Haddadou, Hamid. Multiscale homogenization of nonlinear hyperbolic-parabolic equations. Applications of Mathematics, Tome 68 (2023) no. 2, pp. 153-169. doi: 10.21136/AM.2022.0160-21

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