Quenching Rate for the Porous Medium Equation with a Singular Boundary Condition

نویسندگان

  • Zhengce Zhang
  • Yanyan Li
چکیده

We study the porous medium equation   = , 0 < < , > m t x t  0 t xx . We prove finite time quenching for the solution at the boundary . We also estabu u with a singular boundary condition       0, = 0, m x u t u   = 0 x lish the quenching rate and asymptotic behavior on the quenching point.

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تاریخ انتشار 2011