Mathematics – Analysis of PDEs
Scientific paper
2011-09-22
Mathematics
Analysis of PDEs
39 pages
Scientific paper
The stochastic PDE known as the Kardar-Parisi-Zhang equation (KPZ) has been proposed as a model for a randomly growing interface. This equation can be reformulated as a stochastic Burgers equation. We study a stochastic KdV-Burgers equation as a toy model for this stochastic Burgers equation. Both of these equations formally preserve spatial white noise. We are interested in rigorously proving the invariance of white noise for the stochastic KdV-Burgers equation. This paper establishes a result in this direction. After smoothing the additive noise (by less than one spatial derivative), we establish (almost sure) local well-posedness of the stochastic KdV-Burgers equation with white noise as initial data. We also prove a global well-posedness result under an additional smoothing of the noise.
No associations
LandOfFree
Local and global well-posedness of the stochastic KdV-Burgers equation 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 Local and global well-posedness of the stochastic KdV-Burgers equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local and global well-posedness of the stochastic KdV-Burgers equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-264010