Asymptotic behavior of solution to the Cahn-Hillard equation

1 December 1986

journal article
research article
Published by Taylor & Francis in Applicable Analysis

Vol. 23 (3) , 165-184
https://doi.org/10.1080/00036818608839639

Abstract

The asymptotic behavior of solution to the initial boundary value problem of nonlinear Cahn-Hilliard equation and the associated stationary problem have been extensively studied. In particular, it is proved that in the one space dimensional case the associated stationary problem has exactly 2N+1 numbers of solutions and the solution of evolution equation converges to certain equilibrium solution as t→+∞.

Keywords

35B40

This publication has 3 references indexed in Scilit:

Geometric Theory of Semilinear Parabolic Equations
Published by Springer Nature ,1981
Asymptotic Behavior of Solutions of Evolution Equations
Published by Elsevier ,1978
Non-Homogeneous Boundary Value Problems and Applications
Published by Springer Nature ,1972