Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise

Details Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise

2011-04-04

arxiv.org/abs/1104.0447v1

Mathematics

Analysis of PDEs

19 pages, no figures

Scientific paper

Global well-posedness of the initial-boundary value problem for the stochastic Kuramoto-Sivashinsky equation in a bounded domain $D$ with a multiplicative noise is studied. It is shown that under suitable sufficient conditions, for any initial data $u_0\in L^2(D\times \Omega)$ this problem has a unique global solution $u$ in the space $L^2(\Omega,C([0,T],L^2({D})))$ for any $T>0$, and the solution map $u_0\mapsto u$ is Lipschitz continuous.

Affiliated with

Also associated with

No associations

Rating

Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global Well-posedness of the Stochastic Kuramoto-Sivashinsky Equation with Multiplicative Noise will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317010