## Preprints submitted in 2012

- 2012-024
Misha Bialy and Andrey Mironov:

From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity.
- 2012-023
Anupam Pal Choudhury:

Singular solutions for a 2×2 system in nonconservative form with incomplete set of eigenvectors.
- 2012-022
Clément Cancès and Nicolas Seguin:

Error estimate for Godunov approximation of locally constrained conservation laws.
- 2012-021
Qing Chen, Huijiang Zhao and Qingyang Zou:

Initial-boundary value problems to the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients.
- 2012-020
R. Bürger and S. Diehl:

Convexity-preserving flux identification for scalar conservation laws modelling sedimentation.
- 2012-019
E.Yu. Panov:

On periodic entropy sub- and super-solutions to a degenerate elliptic-hyperbolic equation.
- 2012-018
Christophe Chalons, Mathieu Girardin and Samuel Kokh:

Large time step and asymptotic preserving numerical schemes for the gas dynamics equations with source terms.
- 2012-017
Alberto Bressan and Ke Han:

Existence of optima and equilibria for traffic flow on networks.
- 2012-016
Zhong Tan, Tong Yang, Huijiang Zhao and Qingyang Zou:

Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data.
- 2012-015
Yun-guang Lu:

Global solutions to one-dimensional shallow water magnetohydrodynamic equations.
- 2012-014
Yun-guang Lu:

Existence of global entropy solutions to the isentropic Euler equations with geometric effects.
- 2012-013
Yun-guang Lu:

Existence of global bounded weak entropy solutions to extended Keyfitz–Kranzer system modelling polymer flooding.
- 2012-012
Ee Han and Gerald Warnecke:

The exact Riemann solutions to shallow water equations.
- 2012-011
Friedemann Kemm:

A note on the carbuncle in shallow water simulations.
- 2012-010
Kenneth H. Karlsen, Nils Henrik Risebro and Erlend B. Storrøsten:

L¹ Error Estimates for Difference Approximations of
Degenerate Convection-Diffusion Equations.
- 2012-009
Misha Bialy:

Smooth solutions for a *p*-system of mixed type.
- 2012-008
Misha Perepelitsa:

A note on a kinetic formulation of the Euler equations.
- 2012-007
Darko Mitrovic:

Proper entropy conditions for scalar conservation laws with discontinuous flux.
- 2012-006
Alberto Bressan, Chen Jie Liu, Wen Shen and Fang Yu:

Variational analysis of Nash equilibria for a model of traffic flow.
- 2012-005
Debora Amadori and Wen Shen:

An integro–differential conservation law arising in a model of granular flow.
- 2012-004
Rinaldo Colombo, Graziano Guerra and Wen Shen:

Lipschitz semigroup for an integro–differential equation for slow erosion.
- 2012-003
Marshall Slemrod:

Admissibility of weak solutions for the compressible Euler equations, n≥2.
- 2012-002
Ritesh Kumar Dubey:

High resolution schemes: total variation stability and its dependence on smoothness parameter.
- 2012-001
Alain Yves Le Roux:

Source terms versus entropy for environmental waves.