Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients

Anyin Xia, Xianxiang Pu and Shan Li

Advances in Mathematical Physics, 2016, vol. 2016, 1-5

Abstract:

This paper concerns the singularity and global regularity for the porous medium equation with time-dependent coefficients under homogeneous Dirichlet boundary conditions. Firstly, some global regularity results are established. Furthermore, we investigate the blow-up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8292835

DOI: 10.1155/2016/8292835

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