Title of article
Long-time behaviour of solutions of a class of nonlinear parabolic equations Original Research Article
Author/Authors
Xiaochuan Liu، نويسنده , , Changzheng Qu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
12
From page
4470
To page
4481
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.
Keywords
self-similar solution , Nonlinear parabolic equation , Travelling wave , long-time behaviour
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860702
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