Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System

DOI10.1137/17M1150888zbMath1384.82011arXiv1710.03102OpenAlexW2962835303MaRDI QIDQ4609597

Yi Wang, Teng Wang, Hai-liang Li

Publication date: 5 April 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03102

zbMATH Keywords

rarefaction wavetime-asymptotic stabilitymicro-macro decompositionviscous contact wavebipolar Vlasov-Poisson-Boltzmann system

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83)

Related Items (5)

Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Asymptotic Stability of the Superposition of Viscous Contact Wave with Rarefaction Waves for the Compressible Navier--Stokes--Maxwell Equations ⋮ Asymptotic stability of viscous contact wave for the inflow problem of the heat-conductive ideal gas without viscosity ⋮ Wave phenomena to the three-dimensional fluid-particle model ⋮ Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations

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