4 papers
Vanishing viscosity limit for hyperbolic system of conservation laws in 1-d with nonlinear viscosity: Part-I Uniform BV estimates
Boris Haspot, Animesh Jana
We consider the following parabolic approximation for hyperbolic system of conservation laws in 1-D with non-singular viscosity matrix and strictly hyperbolic, \[u^\v…
Viscous approximation of triangular system in 1-d with nonlinear viscosity
Boris Haspot, Animesh Jana
We study the vanishing viscosity limit for triangular system of hyperbolic conservation laws when the viscosity coefficients are non linear. In this article, we assume t…
Existence of BV solutions for hyperbolic balance laws for initial data
Boris Haspot, Animesh Jana
We prove the existence of BV solutions for system of hyperbolic balance laws in one space dimension. The flux is assumed to have two genuinely nonlinear characteristic…
Vanishing viscosity limit for hyperbolic system of Temple class in 1-d with nonlinear viscosity
Boris Haspot, Animesh Jana
We consider hyperbolic system with nonlinear viscosity such that the viscosity matrix is commutating with the matrix associated to the convective term. The drift matr…