Study of ODE limit problems for reaction-diffusion equations

Autor: Jacson Simsen, Mariza Stefanello Simsen, Aleksandra Zimmermann
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Opuscula Mathematica, Vol 38, Iss 1, Pp 117-131 (2018)
Druh dokumentu: article
ISSN: 1232-9274
DOI: 10.7494/OpMath.2018.38.1.117
Popis: In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for reaction-diffusion equations with spatially variable exponents when the exponents go to 2 in \(L^{\infty}(\Omega)\) and the diffusion coefficients go to infinity.
Databáze: Directory of Open Access Journals