The decay rate of solution for the bipolar Navier-Stokes-Poisson system

DOI10.1063/1.4894766zbMath1304.35509OpenAlexW2091219007MaRDI QIDQ2924870

Xin Xu, Weike Wang

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4894766

zbMATH Keywords

Green's functionCauchy problemdecay ratebipolar Navier-Stokes-Poisson systemshort wave-long wave decomposition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Incompressible viscous fluids (76D99) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial value problems for second-order parabolic equations (35K15)

Related Items

Large time behavior of the 1D isentropic Navier-Stokes-Poisson system, Optimal decay estimates for nonisentropic hydrodynamic models of two-carrier plasmas, Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three, Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier-Stokes-Poisson system under large initial perturbation, Unnamed Item, Large time behavior of solutions to a two phase fluid model in \(\mathbb{R}^3\), Optimal time-decay rates of the compressible Navier-Stokes-Poisson system in \(\mathbb{R}^3\), Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations, Optimal decay rate of the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law, Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three, Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations

Cites Work

• Unnamed Item
• Unnamed Item
• Large time behaviors of the isentropic bipolar compressible Navier-Stokes-Poisson system
• The compressible non-isentropic bipolar Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system
• Quasi-neutral limit of the two-fluid Euler-Poisson system
• Quasi-neutral limit of the full bipolar Euler-Poisson system
• Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems
• Compressible Navier-Stokes-Poisson equations
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• \(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• Global in time weak solutions for compressible barotropic self-gravitating fluids
• Partial differential equations. 3: Nonlinear equations
• A remark about global existence for the Navier-Stokes-Poisson system
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
• On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions