Global well-posedness of compressible bipolar Navier-Stokes-Poisson equations

DOI10.1007/s10114-011-0238-xzbMath1291.35228OpenAlexW2161012715MaRDI QIDQ353575

Cheng Chun Hao, Hai-liang Li, Yi Quan Lin

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0238-x

zbMATH Keywords

global existencebipolar compressible Navier-Stokes-Poisson system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Stability of the rarefaction wave for a two-fluid plasma model with diffusion ⋮ Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation ⋮ Mass concentration phenomenon in the 3D bipolar compressible Navier-Stokes-Poisson system ⋮ Global existence of solution to initial boundary value problem for bipolar Navier-Stokes-Poisson system ⋮ Global existence and optimal decay rate of the compressible bipolar Navier-Stokes-Poisson equations with external force ⋮ Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations ⋮ Unnamed Item

Cites Work

• Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
• Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data
• Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Global in time weak solutions for compressible barotropic self-gravitating fluids
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
• Local and global existence for the coupled Navier-Stokes-Poisson problem
• A quasineutral type limit for the Navier–Stokes–Poisson system with large data
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
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