This is a survey of results on the long-time behavior of solutions to phase-field models and related problems. The central idea is based on several non-standard applications of the Łojasiewicz-Simon theory.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-12, author = {Eduard Feireisl and Hana Petzeltov\'a}, title = {Non-standard applications of the \L ojasiewicz-Simon theory: Stabilization to equilibria of solutions to phase-field models}, journal = {Banach Center Publications}, volume = {83}, year = {2008}, pages = {185-196}, zbl = {1157.35315}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-12} }
Eduard Feireisl; Hana Petzeltová. Non-standard applications of the Łojasiewicz-Simon theory: Stabilization to equilibria of solutions to phase-field models. Banach Center Publications, Tome 83 (2008) pp. 185-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-12/