Paper Info
Title
On nonlinear amplitude evolution under stochastic forcing
Abstract
The complex Ginzburg–Landau amplitude equation, with or without random forcing, arises as approximate reductions of complicated physical systems on extended spatial domains near bifurcation points. Unlike the deterministic Ginzburg–Landau equation whose well-posedness is well-known, there seems no rigorous result on global existence and uniqueness of the randomly forced Ginzburg–Landau equation. Our work provides such a rigorous result on global existence and uniqueness, under very mild conditions.
Year
DOI
Venue
2000
10.1016/S0096-3003(99)00016-8
Applied Mathematics and Computation
Keywords
Field
DocType
nonlinear amplitude evolution,infinite dimensional dynamical system,amplitude equation,stochastic forcing,stochastic partial differential equation,dynamic system
Uniqueness,Well-posed problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Stochastic partial differential equation,Partial differential equation,Amplitude,Mathematics,Dynamical system,Bifurcation
Journal
Volume
Issue
ISSN
109
1
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Jinqiao Duan12315.58
Vincent J. Ervin211815.66