NUMERICAL INVESTIGATION OF THE DECAY RATE OFSOLUTIONS TO MODELS FOR WATER WAVES WITHNONLOCAL VISCOSITY
Dumont, Serge ; Duval, Jean-Baptiste
HAL, hal-01113716 / Harvested from HAL
In this article, we investigate the decay rate of the solutions of two water wave modelswith a nonlocal viscous term written in the KdV formand in the BBM form. In order to realize this numerical study, a numerical scheme based of theG^\alpha-scheme is developed.
Publié le : 2012-01-19
Classification:  fractional derivatives.,  viscous asymptotical models,  long-time asymptotics,  waterwaves,  35Q35, 35Q53, 76B15, 65M70,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
@article{hal-01113716,
     author = {Dumont, Serge and Duval, Jean-Baptiste},
     title = {NUMERICAL INVESTIGATION OF THE DECAY RATE OFSOLUTIONS TO MODELS FOR WATER WAVES WITHNONLOCAL VISCOSITY},
     journal = {HAL},
     volume = {2012},
     number = {0},
     year = {2012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01113716}
}
Dumont, Serge; Duval, Jean-Baptiste. NUMERICAL INVESTIGATION OF THE DECAY RATE OFSOLUTIONS TO MODELS FOR WATER WAVES WITHNONLOCAL VISCOSITY. HAL, Tome 2012 (2012) no. 0, . http://gdmltest.u-ga.fr/item/hal-01113716/