Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations

DOI10.1002/mma.4320zbMath1373.35233OpenAlexW2581123213MaRDI QIDQ4977867

Zhong Tan, Hong Cai

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4320

zbMATH Keywords

asymptotic stabilitystationary solutionsbipolar Navier-Stokes-Poisson equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) PDEs of mixed type (35M10) Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (4)

Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier-Stokes-Poisson system under large initial perturbation ⋮ Blow-up for the compressible isentropic Navier-Stokes-Poisson equations ⋮ Unnamed Item ⋮ Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations

Cites Work

• Unnamed Item
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• The initial value problem for the equations of motion of viscous and heat-conductive gases
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• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
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• Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile
• Asymptotic stability of stationary solutions to the compressible Euler-Maxwell equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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