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Positons of the modified Korteweg de Vries equation

✍ Scribed by A. A. Stahlhofen

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
679 KB
Volume
504
Category
Article
ISSN
0003-3804

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πŸ“œ SIMILAR VOLUMES

On the Stochastic Korteweg–de Vries Equa
On the Stochastic Korteweg–de Vries Equation
✍ 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

White Noise Driven Korteweg–de Vries Equ
White Noise Driven Korteweg–de Vries Equation
✍ A. de Bouard; A. Debussche; Y. Tsutsumi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 212 KB

We consider a stochastic Korteweg de Vries equation on the real line. The noise is additive. We use function spaces similar to those introduced by Bourgain to prove well posedness results for the Korteweg de Vries equation in L 2 (R). We are able to handle a noise which is locally white in space and