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Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Universite Paris VII Stanford University
2012/6/27
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile displacements. Unde...
Shock-free Solutions of the Compressible Euler Equations
Conservation laws compressible Euler equations singularity formation large data exact solutions
2012/4/18
We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solutions changes, and c...
An invariant in shock clustering and Burgers turbulence
Shock clustering stochastic coalescence kinetic theory Burgers turbulence integrable systems Loitsiansky invariant
2011/7/6
1-D scalar conservation laws with convex flux and Markov initial data
are now known to yield a completely integrable Hamiltonian system. In
this article, we rederive the analogue of Loitsiansky’s in...
Stable lattice Boltzmann scheme for a moving Burgers shock wave
Hyperbolic conservation laws entropy convex hull
2011/1/20
We follow the mathematical framework proposed by Bouchut [3] in order to derive equilibrium functions for D1Q3 lattice Boltzmann simulations of the Burgers equation. When a particular convexity proper...
q-Shock Soliton Evolution
Mathematical Physics (math-ph) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
By generating function based on the Jackson's q-exponential function and standard exponential function, we introduce a new q-analogue of Hermite and Kampe-de Feriet polynomials. In contrast to standar...
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...
Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge
potential equation shock wave wedge global existence
2007/12/11
This note is devoted to the study of the global existence of a shock wave for the super- sonic flow past a curved wedge. When the curved wedge is a small perturbation of a straight wedge and the angle...