DYNAMIC PATTERN FORMATION IN SWIFT-HOHENBERG EQUATIONS

作者:Hoang Tung*; Hwang Hyung Ju
来源:Quarterly of Applied Mathematics, 2011, 69(3): 603-612.

摘要

In this paper we study nonlinear instability in the Swift-Hohenberg equation. The short-time pattern formation under the fully nonlinear setting is rigorously characterized. For unstable constant equilibria, we investigate the nonlinear dynamics of patterns which occur within the time interval of existence.

  • 出版日期2011-9