Title :

On Damping Rates of dissipative KdV equations

Author(s) :

Chehab, Jean-Paul [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Sadaka, Georges [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]

English keyword(s) :

Damped KdV equations
long time behavior
inverse problems

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We consider here different models of dissipative Korteweg-de Vries (KdV) equations on the torus. Using a proper wave function , we compare numerically the long time behavior effects of the damping models and we propose a ...
Show more >We consider here different models of dissipative Korteweg-de Vries (KdV) equations on the torus. Using a proper wave function , we compare numerically the long time behavior effects of the damping models and we propose a hierarchy between these models. We also introduce a method based on the solution of an inverse problem to rebuild a posteriori the damping operator using only samples of the solution.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL