## Preprints submitted in 2011

- 2011-027

Exact Riemann solutions to Euler equations in ducts with discontinuous cross-section. - 2011-026

On decay of periodic entropy solutions to a scalar conservation law. - 2011-025

Singular limits for a parabolic-elliptic regularization of scalar conservation laws. - 2011-024

Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes. - 2011-023

A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena. - 2011-022

High-order finite volume schemes for layered atmospheric models. - 2011-021

A new model for shallow elastic fluids. - 2011-020

On some deficiencies of the AUFS scheme for Euler flows and possible fixes. - 2011-019

Nonlinear dynamics of magnetohydrodynamic flows of heavy fluid over an arbitrary surface in shallow water approximation. - 2011-018

Quasi-two-layer finite-volume scheme for modeling shallow water flows over an arbitrary bed in the presence of external force. - 2011-017

Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. - 2011-016

Nash equilibria for a model of traffic flow with several groups of drivers. - 2011-015

On the Rayleigh–Taylor instability for two uniform viscous incompressible flows. - 2011-014

On the Rayleigh–Taylor instability for incompressible, inviscid magnetohydrodynamic flows. - 2011-013

Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems. - 2011-012

Existence of solutions for degenerate parabolic equations with rough coefficients. - 2011-011

Extensions for systems of conservation laws. - 2011-010

On weak completeness of the set of entropy solutions to a degenerate non-linear parabolic equation. - 2011-009

Pairwise wave interactions in ideal polytropic gases. - 2011-008

An exponential time-differencing method for monotonic relaxation systems. - 2011-007

Well-posedness of a singular balance law. - 2011-006

On multi-dimensional sonic-subsonic flow. - 2011-005

Optima and equilibria for a model of traffic flow. - 2011-004

A Domain Decomposition Method for Semilinear Hyperbolic Systems with Two-scale Relaxations. - 2011-003

Operator splitting for two-dimensional incompressible fluid equations. - 2011-002

Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form. - 2011-001

Singular solutions for nonlinear hyperbolic systems.