Spinodal decomposition for the stochastic Cahn-Hilliard equation

14. Dirk Blömker, Stanislaus Maier-Paape, Thomas Wanner:
    Spinodal decomposition for the stochastic Cahn-Hilliard equation
    In: Equadiff 99. Proceedings of the International Conference on Differential Equations, edited by B. Fiedler, K. Gröger, J. Sprekels, Vol. 2, pp. 1265-1267, World Scientific, 2000.

Abstract

We address spinodal decomposition for the stochastic Cahn-Hilliard equation. Solutions starting at the homogeneous equilibrium $u(0) \equiv 0$ will leave a neighborhood of $0$ along a strongly unstable subspace $X_\epsilon^+$ with high probability. This produces solutions of a characteristic wavelength, as discussed in Maier-Paape, Wanner (1998). All estimates are established for the linearized stochastic equation.

Links

The published version of the paper can be found at https://doi.org/10.1142/9789812792617_0235.

Bibtex

@inproceedings{bloemker:etal:00a,
   author = {Dirk Bl\"omker and Stanislaus Maier-Paape
             and Thomas Wanner},
   title = {Spinodal decomposition for the stochastic
            {C}ahn-{H}illiard equation},
   editor = {B. Fiedler and K. Gr\"oger and J. Sprekels},
   booktitle = {Equadiff 99. Proceedings of the International
                Conference on Differential Equations},
   volume = 2,
   publisher = {World Scientific},
   year = 2000,
   pages = {1265--1267},
   doi = {10.1142/9789812792617_0235}
   }