Boris Haspot

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20242026

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math.AP2026

Vanishing viscosity limit for $n \times n$ 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 $B (u)$ and $A (u)$ strictly hyperbolic, \[u^\v…

math.AP2025

Viscous approximation of triangular system in 1-d with nonlinear viscosity

Boris Haspot, Animesh Jana

We study the vanishing viscosity limit for $2 \times 2$ triangular system of hyperbolic conservation laws when the viscosity coefficients are non linear. In this article, we assume t…

math.AP2024

Existence of BV solutions for $2 \times 2$ hyperbolic balance laws for $L^{\infty}$ initial data

Boris Haspot, Animesh Jana

We prove the existence of BV solutions for $2 \times 2$ system of hyperbolic balance laws in one space dimension. The flux is assumed to have two genuinely nonlinear characteristic…

math.AP2024

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 $B (u)$ is commutating with $A (u)$ the matrix associated to the convective term. The drift matr…

Vanishing viscosity limit for n×n hyperbolic system of conservation laws in 1-d with nonlinear viscosity: Part-I Uniform BV estimates

Viscous approximation of triangular system in 1-d with nonlinear viscosity

Existence of BV solutions for 2×2 hyperbolic balance laws for L∞ initial data

Vanishing viscosity limit for hyperbolic system of Temple class in 1-d with nonlinear viscosity

Vanishing viscosity limit for $n \times n$ hyperbolic system of conservation laws in 1-d with nonlinear viscosity: Part-I Uniform BV estimates

Existence of BV solutions for $2 \times 2$ hyperbolic balance laws for $L^{\infty}$ initial data