4 papers
A mathematical model for rogue waves using Saint-Venant equations with friction
Alain-Yves Le Roux, Marie-Noëlle Le Roux
We propose to construct a temporary wave on the surface of the ocean, as a particular solution of the Saint-Venant equations with a source term involving the friction, whose shape…
Numerical Solution of a parabolic system with blowup of the solution
Marie-Noëlle Le Roux
In this paper, the author proposes a numerical method to solve a parabolic system of two quasilinear equations of nonlinear heat conduction with sources. The solution of this syste…
Numerical Solution of a nonlinear reaction-diffusion problem in the case of HS-regime
Marie-Noëlle Le Roux
In this paper, the authors propose a numerical method to compute the solution of a nonlinear reaction-diffusion problem in the case of HS-regime. The initial condition is a nonnega…
Numerical Solution of a parabolic problem arising in finance
Marie-Noëlle Le Roux
The optimal replication strategy for incomplete markets is obtained by solving a system of partial differential equations. In this paper, we study existence and uniqueness of the s…