𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Smoothing Properties of Solutions to the Modified Korteweg-de Vries Equation

✍ Scribed by F. Linares; M. Scialom

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
352 KB
Volume
106
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

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

Large Time Asymptotics of Solutions to t
Large Time Asymptotics of Solutions to the Generalized Korteweg–de Vries Equation
✍ Nakao Hayashi; Pavel I. Naumkin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 389 KB

We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equation u t + ( |u| \&1 u) x + 1 3 u xxx =0, where x, t # R when the initial data are small enough. If the power \ of the nonlinearity is greater than 3 then the solution