Partial differential inclusions with spatially variable exponents and large diffusion

  • Jacson Simsen Universidade Federal de Itajubá (UNIFEI)
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
Section
Articles