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Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Transonic Euler Shocks Global Stability Quasi-One-Dimensional Nozzles Analysis of PDEs
2011/9/22
Abstract: We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzl...
Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations
Coherent Structures Carrier Shocks Nonlinear Periodic Maxwell Equations
2010/12/15
We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear
and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on the case of a period...
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...
In shock wave theory there are two considerations in selecting the physically relevant shock waves. There is the admissibility criterion for the well-posedness of hyperbolic conservation laws. Another...
A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries
pressure gradient equation free boundary
2007/12/11
We present a global solution to a Riemann problem for the pressure gradient system of equations. The Riemann problem has initially two shock waves and two contact discontinuities. The angle between th...