Well-posedness of weak solutions to electrorheological fluid equations with degeneracy on the boundary
In this article we study the electrorheological fluid equation $$ {u_t}= \hbox{div} ({\rho^\alpha}{| {\nabla u} |^{p(x) - 2}}\nabla u), $$ where $\rho (x) = \hbox{dist} (x,\partial \Omega )$ is the distance from the boundary, $p(x)\in C^{1}(\overline{\Omega})$, and $p^{-}=\min_{x\in \overline...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/13/abstr.html |