Preprints submitted in 2008
Regularity of entropy solutions.
A positive MUSCL–Hancock scheme for ideal magnetohydrodynamics.
Convergent finite element methods for compressible barotropic Stokes systems.
Front tracking for a model of immiscible gas flow with large data.
Global L∞ solutions of the compressible Euler Equations with spherical symmetry.
Initial-boundary value problems for conservation laws with source terms and the Degasperis–Procesi equation.
A Liapunov-Schmidt Reduction for Time-Periodic Solutions of the Compressible Euler Equations.
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors.
A Paradigm for Time-Periodic Sound Wave Propagation in the Compressible Euler Equations.
Global Wave Interactions in Isentropic Gas Dynamics.
Well-posedness results for triply nonlinear degenerate parabolic equations.
Regularity and Global Structure of Solutions to Hamilton–Jacobi equations II. Convex initial data.
3-D kinematical Conservation Laws: Equations of Evolution of a Surface.
A Central Rankine Hugoniot Solver for Hyperbolic Conservation Laws.
On a strong precompactness of velocity averages for a heterogenous transport equation with rough coefficients.
Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions.
An application of 3-D kinematical conservation laws:
Propagation of a three dimensional wavefront.
An exactly conservative particle method for one dimensional scalar conservation laws.
Global Existence of Large BV Solutions in a Model of Granular Flow.
On the strong pre-compactness property for entropy solutions of an ultra-parabolic equation with discontinuous flux.
Asymptotics toward rarefaction waves and vacuum for 1-d Compressible Navier–Stokes equations.
A convergence result for finite volume schemes on 2-dimensional Riemannian manifolds.
A mathematical model for tsunami generation using a conservative velocity-pressure hyperbolic system.
A multiwave approximate Riemann solver for ideal MHD based on relaxation II – Numerical implementation with 3 and 5 waves.
On weak convergence of entropy solutions to scalar conservation laws.
On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux.
A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws.
Compressible 1-D Euler Equations with Large Data: A Case Study.
Symmetric Euler and Navier–Stokes shocks in stationary barotropic flow on a bounded domain.
Dissipative solutions for the Camassa–Holm equation.
Linearization of the Riemann problem for a
triangular system of conservation laws and delta shock wave formation process.
Sound traveling-waves in wind instruments as solutions to non linear non homogeneous gas dynamics equations.
Structure of fundamental solutions of a conservation law without convexity.
Spectral stability of weak relaxation shock profiles.
Dynamics of the density discontinuity interface. A transversal contact problem.
An explicit finite difference scheme for the Camassa–Holm equation.
Marte Godvik and Harald Hanche-Olsen:
Car-following and the macroscopic Aw–Rascle traffic flow model.
Michaël Baudin, Frédéric Coquel and Quang Huy Tran:
A relaxation method via the Born–Infeld system.
Quang Huy Tran:
Second-order slope limiters for the simultaneous linear advection of (not so) independent variables.
Solving one dimensional scalar conservation laws by particle management.
A uniqueness condition for non-linear convection-diffusion equations with discontinuous coefficients.