Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Emmanuel Kwame Essel; Komil Kuliev; Gulchehra Kulieva; Lars-Erik Persson
Applications of Mathematics (2010)
- Volume: 55, Issue: 4, page 305-327
- ISSN: 0862-7940
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topEssel, Emmanuel Kwame, et al. "Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence." Applications of Mathematics 55.4 (2010): 305-327. <http://eudml.org/doc/37850>.
@article{Essel2010,
abstract = {We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe’s method combined with the technique of two-scale convergence. Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.},
author = {Essel, Emmanuel Kwame, Kuliev, Komil, Kulieva, Gulchehra, Persson, Lars-Erik},
journal = {Applications of Mathematics},
keywords = {parabolic PDEs; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm; parabolic PDE; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm},
language = {eng},
number = {4},
pages = {305-327},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence},
url = {http://eudml.org/doc/37850},
volume = {55},
year = {2010},
}
TY - JOUR
AU - Essel, Emmanuel Kwame
AU - Kuliev, Komil
AU - Kulieva, Gulchehra
AU - Persson, Lars-Erik
TI - Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
JO - Applications of Mathematics
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 305
EP - 327
AB - We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe’s method combined with the technique of two-scale convergence. Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.
LA - eng
KW - parabolic PDEs; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm; parabolic PDE; Rothe's method; two-scale convergence; homogenization of periodic structures; homogenization algorithm
UR - http://eudml.org/doc/37850
ER -
References
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