Geodesic
Homogenization of a system of semilinear diffusion-reaction equations in an $H^{1,p}$ setting
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: In this article, homogenization of a system of semilinear multi-species diffusion-reaction equations is shown. The presence of highly nonlinear reaction rate terms on the right-hand side of the equations make the model difficult to analyze. We obtain some a-priori estimates of the solution which give the strong and two-scale convergences of the solution. We homogenize this system of diffusion-reaction equations by passing to the limit using two-scale convergence.
Classification : 35B27, 35K57, 35K58, 46E35, 35D30
Keywords: global solution, semilinear parabolic equation, reversible reactions, Lyapunov functionals, maximal regularity, homogenization, two-scale convergence 
@article{EJDE_2013__2013__a76,
     author = {Mahato, Hari Shankar and B\"ohm, Michael},
     title = {Homogenization of a system of semilinear diffusion-reaction equations in an $H^{1,p}$ setting},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a76/}
}
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Mahato, Hari Shankar; Böhm, Michael. Homogenization of a system of semilinear diffusion-reaction equations in an $H^{1,p}$ setting. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a76/