๐”– Bobbio Scriptorium
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The small dispersion limit of the Korteweg-de Vries equation. III

โœ Scribed by Peter D. Lax; C. David Levermore


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
584 KB
Volume
36
Category
Article
ISSN
0010-3640

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On the Stochastic Kortewegโ€“de Vries Equa
โœ A de Bouard; A Debussche ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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