Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system

DOI10.1007/s00205-017-1185-1zbMath1382.35304arXiv1710.03089OpenAlexW3103439809MaRDI QIDQ1704117

Tong Yang, Yi Wang, Ming-ying Zhong, Hai-liang Li

Publication date: 8 March 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03089

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Magnetohydrodynamics and electrohydrodynamics (76W05) Vlasov equations (35Q83) Euler equations (35Q31) Boltzmann equations (35Q20) Pattern formations in context of PDEs (35B36)

Related Items (15)

Stability of the equilibrium to the Vlasov-Poisson-Boltzmann system with non-constant background charge ⋮ Asymptotics toward viscous contact waves for solutions of the Landau equation ⋮ The 3D Vlasov-Poisson-Landau system near 1D local Maxwellians ⋮ Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials ⋮ Stability of rarefaction waves for the non-cutoff Vlasov-Poisson-Boltzmann system with physical boundary ⋮ Green's function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System ⋮ Small Knudsen rate of convergence to rarefaction wave for the Landau equation ⋮ The Vlasov-Poisson-Landau system near a local Maxwellian ⋮ Green's function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system ⋮ Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system ⋮ Wave phenomena to the three-dimensional fluid-particle model ⋮ Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system ⋮ On the Cauchy problem of Boltzmann equation with a very soft potential

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