Solutions to polytropic filtration equations with a convection term
We introduce a new type of the weak solution of the polytropic filtration equations with a convection term, $$ {u_t}= \hbox{div} (a(x)|u|^{\alpha}{| {\nabla u} |^{p-2}}\nabla u) +\frac{\partial b^{i}(u^m)}{\partial x_i}. $$ Here, $\Omega\subset\mathbb{R}^N$ is a domain with a $C^2$ smooth bou...
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| Format: | Article |
| Language: | English |
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Texas State University
2017-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/207/abstr.html |