偏微分方程式セミナー: Convergence to Equilibrium of Bounded Solutions with Application of Lojasiewicz-Simon’s inequality

開催日時
2013年   1月 7日 16時 30分 ~ 2013年   1月 7日 17時 30分
場所
北海道大学理学部3号館309室
講演者
Jie Jiang氏 (中国科学院武漢物理与数学研究所)
 
In this talk, we present the application of Lojasiewicz
-Simon’s inequality to the study on convergence of
bounded global solutions to some evolution equations.
We take a semi-linear parabolic initial-boundary problem
as an example. With the help of Lojasiewicz
-Simon’s inequality we prove that the bounded global
solution will converge to an equilibrium as time goes to
infinity provided the nonlinear term is analytic in the
unknown function. We also present the application of
Lojasiewicz-Simon’s inequality to the asymptotic behavior
studies on phase-field models with Cattaneo
law and chemotaxis models with volume-filling effect.

関連項目

研究集会・セミナー・集中講義の一覧へ