Large time behavior of solution for the full compressible Navier-Stokes-Maxwell system

DOI10.3934/cpaa.2015.14.2283zbMath1328.35156OpenAlexW2526356816MaRDI QIDQ746502

Xin Xu, Weike Wang

Publication date: 16 October 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.2283

zbMATH Keywords

Green's functionenergy estimateHelmholtz decompositiontime decay estimatefull compressible Navier-Stokes-Maxwell system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Maxwell equations (35Q61) Green's functions for elliptic equations (35J08)

Related Items

Asymptotic decay of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell systems, Global well-posedness and optimal decay rate of the quasi-static incompressible Navier-Stokes-Fourier-Maxwell-Poisson system, Local well-posedness of the full compressible Navier-Stokes-Maxwell system with vacuum, Scaling invariant regularity criteria for the Navier-Stokes-Maxwell system, Convergence of the Navier-Stokes-Maxwell system to the Euler-Maxwell system near constant equilibrium, Large time behavior for the non-isentropic Navier-Stokes-Maxwell system, Uniform regularity of the compressible full Navier-Stokes-Maxwell system, Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system, Convergence to steady-states of compressible Navier-Stokes-Maxwell equations

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