A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions

Zhensheng Gao, and Zhong Tan. "A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions." Annales Polonici Mathematici 105.2 (2012): 179-198. <http://eudml.org/doc/280765>.

@article{ZhenshengGao2012,
abstract = {The paper is dedicated to the global well-posedness of the barotropic compressible Navier-Stokes-Poisson system in the whole space $ℝ^\{N\}$ with N ≥ 3. The global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces. The initial velocity has the same critical regularity index as for the incompressible homogeneous Navier-Stokes equations. The proof relies on a uniform estimate for a mixed hyperbolic/parabolic linear system with a convection term.},
author = {Zhensheng Gao, Zhong Tan},
journal = {Annales Polonici Mathematici},
keywords = {global existence; Navier-Stokes-Poisson; compressible; Cauchy problem; hybrid Besov spaces},
language = {eng},
number = {2},
pages = {179-198},
title = {A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions},
url = {http://eudml.org/doc/280765},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Zhensheng Gao
AU - Zhong Tan
TI - A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 2
SP - 179
EP - 198
AB - The paper is dedicated to the global well-posedness of the barotropic compressible Navier-Stokes-Poisson system in the whole space $ℝ^{N}$ with N ≥ 3. The global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces. The initial velocity has the same critical regularity index as for the incompressible homogeneous Navier-Stokes equations. The proof relies on a uniform estimate for a mixed hyperbolic/parabolic linear system with a convection term.
LA - eng
KW - global existence; Navier-Stokes-Poisson; compressible; Cauchy problem; hybrid Besov spaces
UR - http://eudml.org/doc/280765
ER -