| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842160 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 12 Pages |
Abstract
In this paper, the long-time behaviour of solutions of a class of nonlinear parabolic equations is studied. It is shown that the solutions of initial-boundary value problem to the equations converge to a travelling wave solution of the equation or a self-similar solution of a Hamilton–Jacobi equation under certain conditions on initial and boundary values of the solutions.
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Authors
Xiaochuan Liu, Changzheng Qu,