Preprints submitted in 2007
Singular solutions to systems of conservation laws: shocks, δ- and δ'-shocks.
Multidimensional delta-shocks and the transportation and concentration processes.
Camillo De Lellis and László Székelyhidi:
On admissibility criteria for weak solutions of the Euler equation.
F. G. Fuchs, K. H. Karlsen, S. Mishra and N. H. Risebro:
Stable upwind schemes for the magnetic induction equation.
On the Dirichlet problem for first order quasilinear equations on a manifold.
The solution of the Cauchy problem with large data for a model of a mixture of gases.
Hyperbolic Conservation Laws with Discontinuous Fluxes and Hydrodynamic Limit for Particle Systems.
Global existence of weak solutions for a viscous two-phase model.
Subsonic Flows for the Full Euler Equations in Half Plane.
Rinaldo M. Colombo and Mauro Garavello:
Phase Transition Model for Traffic at a Junction.
Yong-Jung Kim and Youngsoo Ha:
Fundamental solutions of conservation laws.
Thomas Curtright and David Fairlie:
Dissipative Entropy and Global Smooth Solutions for Radiation Hydrodynamics and Magnetohydrodynamics.
Alberto Bressan and Carlotta Donadello:
On the Convergence of Viscous Approximations After Shock Interactions.
Raimund Bürger, Antonio García, Kenneth H. Karlsen and John D. Towers:
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model.
Mach-uniform accuracy and efficiency of a semi-implicit/explicit algorithm to solve compressible Euler equations for general fluids.
A convergent finite difference method for a nonlinear variational wave equation.
Time-asymptotic behaviour of weak solutions for a viscoelastic two-phase model with nonlocal capillarity.
Eitan Tadmor and Weigang Zhong:
Energy-preserving and stable approximations for the two-dimensional shallow water equations.
SBV regularity of entropy solutions for a class of genuinely nonlinear scalar balance laws with non-convex flux function.
Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations.
An Engquist–Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections.
Global existence and uniqueness of solutions for a viscoelastic two-phase model with nonlocal capillarity.
Existence and strong pre-compactness
properties for entropy solutions of a first-order quasilinear
equation with discontinuous flux.
Stability of Viscous Shocks on Finite Intervalls.
High Order Well-balanced Finite Volume WENO
Schemes for Shallow Water Equation with Moving Water.
Gearhart–Prüss Theorem and linear stability for Riemann solutions of conservation laws.
Critical thresholds in a relaxation model for travel flows.
A Field Space-based Level set Method for Computing Multi-valued Solutions.
On the existence and compactness of a two-dimensional resonant system of conservation laws.
The Navier–Stokes equations for the motion of compressible, viscous fluid flows with the no-slip boundary condition.
Marte Godvik and Harald Hanche-Olsen:
Existence of solutions for the Aw–Rascle traffic flow model with vacuum.