## Preprints submitted in 2009

- 2009-060

A blow-up criterion in terms of the density for compressible viscous flows. - 2009-059

Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations. - 2009-058

Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. - 2009-057

Global existence and regularity of the weakly compressible Navier–Stokes system. - 2009-056

On vanishing viscosity approximation of conservation laws with discontinuous flux. - 2009-055

Wave propagation in multicomponent flow models. - 2009-054

Modeling the Dynamics of Granular Matter. - 2009-053

A convergent mixed method for the Stokes approximation of viscous compressible flow. - 2009-052

Global semigroup of conservative solutions of the nonlinear variational wave equation. - 2009-051

Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. - 2009-050

The computation of nonclassical shock waves with a heterogeneous multiscale method. - 2009-049

Convergence of the space-time expansion discontinuous Galerkin method for scalar conservation laws. - 2009-048

Non-uniqueness of weak solutions for the fractal Burgers equation. - 2009-047

A note on uniqueness of entropy solutions to degenerate parabolic equations in**R**^{N}. - 2009-046

Error bound between monotone difference schemes and their modified equations. - 2009-045

On the compactness for two dimensional scalar conservation law with discontinuous flux. - 2009-044

A note on the new Glimm functional for general systems of hyperbolic conservation laws. - 2009-043

Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws. - 2009-042

Invariant manifolds for a singular ordinary differential equation. - 2009-041

A connection between viscous profiles and singular ODEs. - 2009-040

A high-order gas-kinetic navier-stokes solver I: One-dimensional flux evaluation. - 2009-039

On an optimal number of time steps for a sequential solution of an elliptic–hyperbolic system. - 2009-038

Operator splitting for the KdV equation. - 2009-037

The Kolmogorov–Riesz compactness theorem. - 2009-036

1D compressible flow with temperature dependent transport coefficients. - 2009-035

A convergent nonconforming finite element method for compressible Stokes flow. - 2009-034

The linear appearance theorem for a class of non linear non homogeneous hyperbolic systems involving a transport equation. - 2009-033

A robust well-balanced scheme for multi-layer shallow water equations. - 2009-032

A subsonic-well-balanced reconstruction scheme for shallow water flows. - 2009-031

A blow-up criterion for compressible viscous heat-conductive flows. - 2009-030

Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE. - 2009-029

The discontinuous Galerkin method for fractal conservation laws. - 2009-028

Vanishing viscosity with short wave long wave interactions for systems of conservation laws. - 2009-027

Existence and Uniqueness for Multidimensional Scalar Conservation Law with Discontinuous Flux. - 2009-026

Homogenization of Nonlinear PDE's in the Fourier–Stieltjes Algebras. - 2009-025

Acoustic limit of the Boltzmann equation: Classical solutions. - 2009-024

Remarks on the acoustic limit for the Boltzmann equation. - 2009-023

Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy. - 2009-022

Lipschitz metric for the Hunter–Saxton equation. - 2009-021

Systems of hyperbolic conservation laws with prescribed eigencurves. - 2009-020

Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave. - 2009-019

Ultra-parabolic equations with rough coefficients. Entropy solutions and strong pre-compactness property. - 2009-018

Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier–Stokes shocks. - 2009-017

On a stochastic first order hyperbolic equation in a bounded domain. - 2009-016

Convergence of a mixed method for a semi-stationary compressible Stokes system. - 2009-015

Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. - 2009-014

Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. - 2009-013

New entropy conditions for the scalar conservation law with discontinuous flux. - 2009-012

Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems. - 2009-011

S.N. Kruzhkov's lectures on first-order quasilinear PDEs. - 2009-010

Finite volume schemes for locally constrained conservation laws. - 2009-009

Extended Gas Dynamic Equations for Microflows. - 2009-008

Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data. - 2009-007

Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations. - 2009-006

Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method. - 2009-005

Large time decay of solutions to isentropic gas dynamics with spherical symmetry. - 2009-004

Numerical methods for river flow modelling. - 2009-003

The Slow Erosion Limit in a Model of Granular Flow. - 2009-002

Symmetric Hyperbolic Equations of Motion for a Hyperelastic Material. - 2009-001

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations.