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Browsing by Subject "upper semicontinuity"

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  • thumbnail.journal.alt
    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.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Study of ODE limit problems for reaction-diffusion equations
    (Wydawnictwa AGH, 2018) Simsen, Jacson; Simsen, Mariza Stefanello; Zimmermann, Aleksandra
    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.