Asymptotic behavior of solution to the Cahn-Hillard equation
Songmu Zheng · Applicable Analysis · 1986
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→+∞.