Geodesic
Homogenization of a nonlinear degenerate parabolic differential equation
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study the homogenization of the nonlinear degenerate parabolic equation $$ \partial_t b({x /over \varepsilon},u_\varepsilon) - \mathop{\rm div} a({x /over \varepsilon},{t \over \varepsilon}, u_\varepsilon,\nabla u_\varepsilon)=f(x,t), $$ with mixed boundary $conditions(Neumann and Dirichlet)$ and obtain the limit equation as $\varepsilon \to 0$. We also prove corrector results to improve the weak convergence of $\nabla u_\varepsilon$ to strong convergence.
Classification : 35B27, 74Q10
Keywords: degenerate parabolic equation, homogenization, two-scale convergence, correctors 
@article{EJDE_2001__2001__a139,
     author = {Nandakumaran, A. K. and Rajesh, M.},
     title = {Homogenization of a nonlinear degenerate parabolic differential equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a139/}
}
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Nandakumaran, A. K.; Rajesh, M. Homogenization of a nonlinear degenerate parabolic differential equation. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a139/