Periodic homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms
Journal article, 2013
We study in this article the periodic homogenization problem related to a strongly nonlinear reaction-diffusion equation. Owing to the large reaction term, the homogenized equation has a rather quite different form which puts together both the reaction and convection effects. We show in a special case that the homogenized equation is exactly of a convection-diffusion type. This study relies on a suitable version of the well-known two-scale convergence method.
homogenization
sigma-convergence
nonlinear
parabolic operators
reaction-diffusion
time
variable exponent
Author
Nils Svanstedt
University of Gothenburg
Chalmers, Mathematical Sciences
J. L. Woukeng
Applicable Analysis
0003-6811 (ISSN) 1563-504X (eISSN)
Vol. 92 7 1357-1378Subject Categories
Mathematical Analysis
DOI
10.1080/00036811.2012.678334