@Article{Simsen2021,
author = "Simsen, Jacson and Simsen, Mariza Stefanello and Wittbold, Petra",
title = "Reaction-diffusion coupled inclusions with variable exponents and large diffusion",
journal = "Opuscula Math.",
year = "2021",
volume = "41",
number = "4",
pages = "539--570",
doi = "https://doi.org/10.7494/OpMath.2021.41.4.539",
url = "https://doi.org/10.7494/OpMath.2021.41.4.539",
abstract = "This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions with respect to initial conditions and a triple of parameters and we prove upper semicontinuity of a family of global attractors for reaction-diffusion systems with spatially variable exponents when the exponents go to constants greater than 2 in the topology of \(L^{\infty}(\Omega)\) and the diffusion coefficients go to infinity.",
keywords = "reaction-diffusion coupled systems, variable exponents, attractors, upper semicontinuity, large diffusion",
issn = "1232-9274"
}