Refined pointwise estimates for the Navier–Stokes–Poisson equations

DOI10.1142/S0219530515500153zbMath1348.35205OpenAlexW2179646946MaRDI QIDQ2816968

Weike Wang, Zhi-Gang Wu

Publication date: 26 August 2016

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530515500153

zbMATH Keywords

Green's functionpointwise estimateshyperbolic-parabolic-elliptic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Compressible fluids and gas dynamics (76N99) Green's functions for elliptic equations (35J08) Classical solutions to PDEs (35A09)

Related Items (10)

Large time behavior of the 1D isentropic Navier-Stokes-Poisson system ⋮ Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three ⋮ Asymptotic profile of solutions to the linearized double dispersion equation on the half space \(\mathbb{R}^{n}_+\) ⋮ Green's function and pointwise estimate for a generalized Poisson‐Nernst‐Planck‐Navier‐Stokes model in dimension three ⋮ Solving the non-isentropic Navier-Stokes equations in odd space dimensions: The Green function method ⋮ Decay of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction ⋮ Decay rates of the compressible viscoelastic flows with electric potential ⋮ Generalized Huygens' principle for a reduced gravity two and a half layer model in dimension three ⋮ The pointwise estimates of diffusion wave of the compressible micropolar fluids ⋮ Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three

Cites Work

• Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system
• Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Local and global existence for the coupled Navier-Stokes-Poisson problem
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE
• THE POINTWISE ESTIMATES OF SOLUTIONS TO THE ISENTROPIC NAVIER–STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS
• Unnamed Item

This page was built for publication: Refined pointwise estimates for the Navier–Stokes–Poisson equations