Critical Curves for A Coupled System of Fast Diffusive Newtonian Filtration Equations

Authors

  • Du Runmei Jilin University
  • Wang Zejia Jilin University

Keywords:

global existence, blow up, Newtonian filtration equation, critical curve

Abstract

This paper deals with the large time behavior of solutions to the fast diffusive Newtonian filtration equations coupled via the nonlinear boundary sources. The result of Fujita type is obtained by constructing various kinds of upper and lower solutions. Particularly, we show that the critical global existence curve and the critical Fujita curve are the same for the multi-dimensional system, which is quite different from the known results for corresponding one-dimensional problem. 10.1017/S000497271200038X

Published

2012-10-22

Issue

Vol. 86 No. 3 (2012)

Section

Articles
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