TY  - JOUR
ID  - Simsen2021
LB  - Simsen2021
AU  - Simsen, Jacson
AU  - Simsen, Mariza Stefanello
AU  - Wittbold, Petra
TI  - Reaction-diffusion coupled inclusions with variable exponents and large diffusion
ST  - Reaction-diffusion coupled inclusions with variable exponents and large diffusion
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 4
SP  - 539
EP  - 570
DO  - https://doi.org/10.7494/OpMath.2021.41.4.539
UR  - https://doi.org/10.7494/OpMath.2021.41.4.539
AB  - 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.
KW  - reaction-diffusion coupled systems
KW  - variable exponents
KW  - attractors
KW  - upper semicontinuity
KW  - large diffusion
SN  - 1232-9274
ER  -