P. Garnier

activity

20142016

most citedNumerical solution of the generalized Kadomtsev-Petviashvili equations with compact finite difference schemes

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2016★ 2 cited

Numerical solution of the generalized Kadomtsev-Petviashvili equations with compact finite difference schemes

J. -P Chehab, P Garnier, Youcef Mammeri

We propose compact finite difference schemes to solve the KP equations $u_t + u_xxx + u^{p} u_x +$ λ $\partial^{-- 1}_xu_y y = 0$ . When $p = 1$ , this equation describes the p…

math.AP2015

Damping to prevent the blow-up of the Korteweg-de Vries equation

Pierre Garnier

We study the behavior of the solution of a generalized damped KdV equation $u_{t} + u_{x} + u_{xxx} + u^{p} u_{x} + L_{γ} (u) = 0$ . We first state results on the local well-posedness…

math.AP2014

Long-time behavior of solutions of a BBM equation with generalized damping

Jean-Paul Chehab, Pierre Garnier, Youcef Mammeri

We study the long-time behavior of the solution of a damped BBM equation $u_{t} + u_{x} - u_{xx t} + u u_{x} + L_{γ} (u) = 0$ . The proposed dampings $L_{γ}$ generalize stand…