Preprints submitted in 2012
From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity.
Singular solutions for a 2×2 system in nonconservative form with incomplete set of eigenvectors.
Error estimate for Godunov approximation of locally constrained conservation laws.
Initial-boundary value problems to the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients.
Convexity-preserving flux identification for scalar conservation laws modelling sedimentation.
On periodic entropy sub- and super-solutions to a degenerate elliptic-hyperbolic equation.
Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms.
Existence of optima and equilibria for traffic flow on networks.
Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data.
Global solutions to one-dimensional shallow water magnetohydrodynamic equations.
Existence of global entropy solutions to the isentropic Euler equations with geometric effects.
Existence of global bounded weak entropy solutions to extended Keyfitz–Kranzer system modelling polymer flooding.
The exact Riemann solutions to shallow water equations.
A note on the carbuncle in shallow water simulations.
L¹ Error Estimates for Difference Approximations of
Degenerate Convection-Diffusion Equations.
Smooth solutions for a p-system of mixed type.
A note on a kinetic formulation of the Euler equations.
Proper entropy conditions for scalar conservation laws with discontinuous flux.
Variational analysis of Nash equilibria for a model of traffic flow.
An integro–differential conservation law arising in a model of granular flow.
Lipschitz semigroup for an integro–differential equation for slow erosion.
Admissibility of weak solutions for the compressible Euler equations, n≥2.
High resolution schemes: total variation stability and its dependence on smoothness parameter.
Source terms versus entropy for environmental waves.