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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the stability of multi-dimensional rarefaction waves
多维 稀薄波 稳定性
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2023/4/17
In his pioneering work in 1860, Riemann proposed the Riemann problem and solved it for isentropic gas in terms of shocks and rarefaction waves. It eventually became the foundation of the theory of one...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy estimates for the two-dimensional acoustical rarefaction waves
二维声稀波 能量估计 无旋
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2023/4/18
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global quasineutral Euler limit for the Vlasov-Poisson-Landau system with rarefaction waves
稀薄波 弗拉索夫-泊松-朗道系统 准中性 欧拉极限
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2023/4/24
The formal limit of the one-dimensional Vlasov-Poisson-Landau (VPL) system in the combined small Knudsen and quasineutral regimes gives the compressible Euler system. In the talk I will present a rece...
Rarefaction Shock Waves in Collisionless Plasma with Electronic Beam
Collisionless plasma, Supersonic ion-acoustic rarefaction shock waves
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2011/9/9
We show that an electronic beam passing through the collisionless plasma of the ”cold” ions and the ”hot” Boltzmann electrons can give rise to the propagation of the supersonic ion-acoustic rarefactio...
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
rarefaction wave vacuum for 1-D compressible Navier-Stokes equations
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2010/11/15
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity
Fluid Dynamic the Riemann Solutions of Euler Equations
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2010/11/15
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider t...