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(2001 / vol.4 / no.2)
For the behavior of the solutions of a general porous media equations at large time scale
Hanku Lee
Pages. 33-38     



We consider a general porous media equation $ varepsilon u_{tt}+u_t=Delta u^m $ ,which is obtained by using a general form of Darcy's law , $varepsilon q_t+vec{q}=-k
abla p $ , where $varepsilon$ is a positive constant and show in one dimensional space that its solutions behaviors like solutions of a porous media equation , $ u_t= Delta u^m $ , at large time scale.



degenerate parabolic, General porous media equation



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