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On modulational instabilities in discretisations of the Korteweg-de Vries equation

✍ Scribed by D.M Sloan


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
1000 KB
Volume
79
Category
Article
ISSN
0021-9991

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On the Stochastic Korteweg–de Vries Equa
✍ A de Bouard; A Debussche πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 429 KB

We consider a stochastic Korteweg de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure. We prove existence and uniqueness of solutions in H 1 (R) in the case of additive noise and existence of martingales solution