Entropy conditions and their numerical analogues for conservation laws
Entropy consistent, TVD methods with high accuracy for conservation laws.
Entropy production in second-order three-point schemes.
Équations de moment et conditions d'entropie pour des modèles cinétiques
Error estimates for scalar conservation laws by a kinetic approach.
Euler characteristic Galerkin scheme with recovery
Exact traveling wave solutions for discrete conservation laws.
Existence de lois de conservation dans le cas cyclique
Existence of positive solutions for nonlinear boundary value problems in bounded domains of .
Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods
This paper has two objectives. First, we prove the existence of solutions to the general advection-diffusion equation subject to a reasonably smooth initial condition. We investigate the behavior of the solution of these problems for large values of time. Secondly, a numerical scheme using the Sinc-Galerkin method is developed to approximate the solution of a simple model of turbulence, which is a special case of the advection-diffusion equation, known as Burgers' equation. The approximate solution...