Multiscale homogenization of nonlinear hyperbolic-parabolic equations

Abdelhakim Dehamnia; Hamid Haddadou

Applications of Mathematics (2023)

  • Volume: 68, Issue: 2, page 153-169
  • ISSN: 0862-7940

Abstract

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The main purpose of the present paper is to study the asymptotic behavior (when ε → 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.

How to cite

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Dehamnia, Abdelhakim, and Haddadou, Hamid. "Multiscale homogenization of nonlinear hyperbolic-parabolic equations." Applications of Mathematics 68.2 (2023): 153-169. <http://eudml.org/doc/299399>.

@article{Dehamnia2023,
abstract = {The main purpose of the present paper is to study the asymptotic behavior (when $\varepsilon \rightarrow 0$) 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.},
author = {Dehamnia, Abdelhakim, Haddadou, Hamid},
journal = {Applications of Mathematics},
keywords = {nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method},
language = {eng},
number = {2},
pages = {153-169},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multiscale homogenization of nonlinear hyperbolic-parabolic equations},
url = {http://eudml.org/doc/299399},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Dehamnia, Abdelhakim
AU - Haddadou, Hamid
TI - Multiscale homogenization of nonlinear hyperbolic-parabolic equations
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 153
EP - 169
AB - The main purpose of the present paper is to study the asymptotic behavior (when $\varepsilon \rightarrow 0$) 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.
LA - eng
KW - nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method
UR - http://eudml.org/doc/299399
ER -

References

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