Hyperbolic Problems

A new approach for a flux solver taking into account source terms, viscous and multidimensional effects; blowup for hyperbolic equations; some analytical results concerning the drift diffusion equations for semiconductor devices coupled with Maxwell's equations; transport equations and Orlicz spaces; well-posedness of a 2x2 system of resonant conservation laws; the relaxation limit for systems of Broadwell type; weakly-nonlinear hyperbolic waves in BZT-fluids; inclusion of solutions of Cauchy problems for quasilinear hyperbolic equations; a fed back level-set method for moving material-void interfaces; mathematical aspects of numerical solution of hyperbolic systems; existence of entropy solutions for the compressible Euler equations; wave propagation methods for conservation laws with source terms; quasi-characteristics numerical schemes; on the initial-value problem for zero-pressure gas dynamics; stability and instability of detonation waves; central schemes for systems of balance laws; composite centred schemes for multidimensional conservation laws; on the diffusion limit of a hyperbolic relaxation system; well-posedness theory for system of hyperbolic conservation laws; nonlinear stability of shock fronts for a relaxation system in several space dimensions; front tracking based on conservation in one and two space dimensions; a genuinely multi-dimensional scheme for mixed hyperbolic-parabolic systems; recent results in nonlinear geometric optics; evolution-Galerkin methods - algorithms and analysis from a finite difference viewpoint; hyperbolic relaxation approximation to nonlinear parabolic problems; a comparison of third and second order accurate finite volume schemes for the two-dimensional compressible Euler equations; unique solutions to discontinuous Hamilton-Jacobi equations in shape-from-shading; relativistic dissipative hydrodynamics in the 3+1 formulation; absolutely transparent boundary conditions for time-dependent wave-type problems; blow-up of solutions in system of atmosphere dynamics; holomorphic factorization for the solution operators for hyperbolic equations; the propagation of shock waves in 2-D systems of pressureless gas dynamics; hyperbolic systems with relaxation - symmetrizers and entropies; some hyperbolic models for wave propagation; discrete shock profiles and their stability; advances in fast marching and level set methods for propagating interfaces; rate of convergence for the zero relaxation limit; a high order Fourier/unstructured discontinuous Galerkin method for hyperbolic conservation laws; asymptotic properties of solutions to high-order hyperbolic equations generalizing the damped wave equation; a volume-of-fluid type algorithm for compressible two-phase flows; numerical code for magneto-plasma flows; highly-accurate artificial boundary conditions for unsteady transonic flow problems in wind tunnels; pointwise convergence rate for nonlinear conservation laws. (Part contents)