Preprints submitted in 2009
A blow-up criterion in terms of the density for compressible viscous flows.
Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations.
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units.
Global existence and regularity of the weakly compressible Navier–Stokes system.
On vanishing viscosity approximation of conservation laws with discontinuous flux.
Wave propagation in multicomponent flow models.
Modeling the Dynamics of Granular Matter.
A convergent mixed method for the Stokes approximation of viscous compressible flow.
Global semigroup of conservative solutions of the nonlinear variational wave equation.
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function.
The computation of nonclassical shock waves with a heterogeneous multiscale method.
Convergence of the space-time expansion discontinuous Galerkin method for scalar conservation laws.
Non-uniqueness of weak solutions for the fractal Burgers equation.
A note on uniqueness of entropy solutions to degenerate parabolic equations in RN.
Error bound between monotone difference schemes and their modified equations.
On the compactness for two dimensional scalar conservation law with discontinuous flux.
A note on the new Glimm functional for general systems of hyperbolic conservation laws.
Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws.
Invariant manifolds for a singular ordinary differential equation.
A connection between viscous profiles and singular ODEs.
A high-order gas-kinetic navier-stokes solver I: One-dimensional flux evaluation.
On an optimal number of time steps for a sequential solution of an elliptic–hyperbolic system.
Operator splitting for the KdV equation.
The Kolmogorov–Riesz compactness theorem.
1D compressible flow with temperature dependent transport coefficients.
A convergent nonconforming finite element method for compressible Stokes flow.
The linear appearance theorem for a class of non linear non homogeneous hyperbolic systems involving a transport equation.
A robust well-balanced scheme for multi-layer shallow water equations.
A subsonic-well-balanced reconstruction scheme for shallow water flows.
A blow-up criterion for compressible viscous heat-conductive flows.
Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE.
The discontinuous Galerkin method for fractal conservation laws.
Vanishing viscosity with short wave long wave interactions for systems of conservation laws.
Existence and Uniqueness for Multidimensional Scalar Conservation Law with Discontinuous Flux.
Homogenization of Nonlinear PDE's in the Fourier–Stieltjes Algebras.
Acoustic limit of the Boltzmann equation: Classical solutions.
Remarks on the acoustic limit for the Boltzmann equation.
Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy.
Lipschitz metric for the Hunter–Saxton equation.
Systems of hyperbolic conservation laws with prescribed eigencurves.
Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave.
Ultra-parabolic equations with rough coefficients. Entropy solutions and strong pre-compactness property.
Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier–Stokes shocks.
On a stochastic first order hyperbolic equation in a bounded domain.
Convergence of a mixed method for a semi-stationary compressible Stokes system.
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system.
Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function.
New entropy conditions for the scalar conservation law with discontinuous flux.
Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems.
S.N. Kruzhkov's lectures on first-order quasilinear PDEs.
Finite volume schemes for locally constrained conservation laws.
Extended Gas Dynamic Equations for Microflows.
Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data.
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations.
Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method.
Large time decay of solutions to isentropic gas dynamics with spherical symmetry.
Numerical methods for river flow modelling.
The Slow Erosion Limit in a Model of Granular Flow.
Symmetric Hyperbolic Equations of Motion for a Hyperelastic Material.
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations.