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Browsing by Subject "large diffusion"

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    Item type:Article, Access status: Open Access ,
    Reaction-diffusion coupled inclusions with variable exponents and large diffusion
    (Wydawnictwa AGH, 2021) Simsen, Jacson; Simsen, Mariza Stefanello; Wittbold, Petra
    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.