Preprints submitted in 2011
Exact Riemann solutions to Euler equations in ducts with discontinuous cross-section.
On decay of periodic entropy solutions to a scalar conservation law.
Singular limits for a parabolic-elliptic regularization of scalar conservation laws.
Modelling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes.
A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena.
High-order finite volume schemes for layered atmospheric models.
A new model for shallow elastic fluids.
On some deficiencies of the AUFS scheme for Euler flows and possible fixes.
Nonlinear dynamics of magnetohydrodynamic flows of heavy fluid over an arbitrary surface in shallow water approximation.
Quasi-two-layer finite-volume scheme for modeling shallow water flows over an arbitrary bed in the presence of external force.
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws.
Nash equilibria for a model of traffic flow with several groups of drivers.
On the Rayleigh–Taylor instability for two uniform viscous incompressible flows.
On the Rayleigh–Taylor instability for incompressible, inviscid magnetohydrodynamic flows.
Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems.
Existence of solutions for degenerate parabolic equations with rough coefficients.
Extensions for systems of conservation laws.
On weak completeness of the set of entropy solutions to a degenerate non-linear parabolic equation.
Pairwise wave interactions in ideal polytropic gases.
An exponential time-differencing method for monotonic relaxation systems.
Well-posedness of a singular balance law.
On multi-dimensional sonic-subsonic flow.
Optima and equilibria for a model of traffic flow.
A Domain Decomposition Method for Semilinear Hyperbolic Systems with Two-scale Relaxations.
Operator splitting for two-dimensional incompressible fluid equations.
Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form.
Singular solutions for nonlinear hyperbolic systems.