Anti-shifting phenomenon of a convective nonlinear diffusion equation
Chunpeng Wang - School of Mathematics, Jilin University, Changchun 130012, China (email)
Abstract: This paper concerns a convective nonlinear diffusion equation which is strongly degenerate. The existence and uniqueness of the $BV$ solution to the initial-boundary problem are proved. Then we deal with the anti-shifting phenomenon by investigating the corresponding free boundary problem. As a consequence, it is possible to find a suitable convection such that the discontinuous point of the solution remains unmoved.
Keywords: strong degeneracy, convective,
$BV$ solution, anti-shifting.
Received: April 2008; Revised: November 2009; Available Online: July 2010.
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