Blow up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 8,p. 1-11
- https://doi.org/10.14232/ejqtde.2021.1.8
Abstract
In this paper, we study porous media equation u(t) = Delta u(m) - u(p) with nonlinear boundary condition partial derivative u/partial derivative v = ku(q). We determine some sufficient conditions for the occurrence of finite time blow-up or global existence. Moreover, lower and upper bounds for blow-up time are also derived by using various inequality techniques.Keywords
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