Partial differential inclusions with spatially variable exponents and large diffusion
Keywords:
Multivalued Cauchy problem, variable exponents, electrorheological fluids, parabolic problems, attractors, differential inclusions, large diffusion
Abstract
In this work we prove continuity of the flows and upper semicontinuity of global attractors for large diffusion when the variable exponent go to a constant $p>2$ for inclusions of the form $$\displaystyle\frac{\partial u}{\partial t} - div(D|\nabla u|^{p(x)-2}\nabla u) + |u|^{p(x)-2}u\in F(u).$$
Published
2016-08-28
Issue
Section
Articles