Titlebook: Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects; Proceedings of the F Andrea Donato,Francesco Oliveri Confer

健壯

善辯

Classes of Exact Solutions for the Discrete Boltzmann Models,quations. All (1 + 1)—dimensional, (2 + 1), 2., 3. solutions which, up to now, have been constructed are linear combinations of these self-similar solutions and we report the new results found since a previous review paper [2]. ..

hurricane

Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods,pace) which has quite good convergence properties. Numerical experiments concerning the scattering of planar waves by convex or nonconvex obstacles show the efficiency of the new algorithm, particularly for air intake-like reflectors.

IRS

Discrete Boltzmann Equation with Multiple Collisions,], that is by integration of conservation equations on some triangles. When the initial mass is not “small”, we show that the Tartar and Crandall method [3] can be extended to all models when only binary collisions are considered, but cannot be applied for models with multiple collisions.

莎草

Large Time, Weak Solutions to Reacting Euler Equations,results from the chemical reaction. Numerical calculations show that this increase can be very significant; there remains an interesting challenge to obtain large time existence where uniform decay of the reactant does not occur.

xanthelasma

Flux Formulation using a Fully 2D Approximate Roe Riemann Solver,(RS) [3], The building flux is based on the Local Lax-Friedrichs (LLF) and R.oe Fix (RF) algorithms introduced by C.W. Shu and S. Osher in [8] but extended to a three state solution prescribed at the gravity center of each triangle in order to satisfy locally the entropy increase condition across shock waves.

flourish

Well-Posedness of Nonlinear Hyperbolic Problems and the Dynamics of Compressible Fluids,We introduce a general method for studying data dependence, structural — stability, singular limits, and related problems, for nonlinear hyperbolic mixed problems. Many basic results obtainable by this method are new. Here we describe some of these results.

Neutral-Spine

,Existence of solutions for a class of hyperbolic systems of , conservation laws (, ≥ 3),We consider a strictly hyperbolic system . with a smooth flux function ..

AVERT

Hyperbolic Problems in Kinetic Theory,The known mathematical results concerning existence, uniqueness, trend to equilibrium and approach to fluid dynamics in discrete kinetic theory are reviewed.

CHASE

Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations,In this paper, we present a method to prove the convergence of an explicit Van Leer scheme for hyperbolic equations. We use a triangular mesh. First, we describe a method for the linear case and then we study the nonlinear case.