scholarly journals Global existence of weak solution for the compressible Navier–Stokes–Poisson system for gaseous stars

2015 ◽  
Vol 259 (10) ◽  
pp. 5302-5330 ◽  
Author(s):  
Qin Duan ◽  
Hai-Liang Li
Keyword(s):  
Weak Solution ◽  
Global Existence ◽  
Navier Stokes ◽  
Poisson System ◽  
Gaseous Stars

SOME ASYMPTOTICS FOR A REACTIVE NAVIER–STOKES–POISSON SYSTEM

1999 ◽  
Vol 09 (07) ◽  
pp. 1039-1076 ◽  
Author(s):  
B. DUCOMET
Keyword(s):  
Global Existence ◽  
Global Solution ◽  
Spherical Model ◽  
Navier Stokes ◽  
Positive Energy ◽  
Stability Of Solutions ◽  
Poisson System ◽  
Rigid Core ◽  
Existence And Stability

We prove global existence and stability of solutions for a spherical model of reactive compressible self-gravitating fluid when a rigid core is present. In the absence of core, we show that no global solution of positive energy can exist.

scholarly journals Self-propelled motion of a rigid body inside a density dependent incompressible fluid

2020 ◽  
Author(s):  
Sarka Necasova ◽  
Mythily Ramaswamy ◽  
Arnab Roy ◽  
Anja Schlomerkemper
Keyword(s):  
Angular Momentum ◽  
Weak Solution ◽  
Global Existence ◽  
Viscous Fluid ◽  
Rigid Body ◽  
Incompressible Fluid ◽  
Stokes System ◽  
Navier Stokes ◽  
Navier Condition ◽  
Whole Space

This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole space. The fluid is modelled by the incompressible nonhomogeneous Navier-Stokes system with a nonnegative density. The motion of the rigid body is described by the  balance of linear and angular momentum. We consider the case where slip is allowed at the fluid-solid interface through Navier condition and prove the global existence of a weak solution.

scholarly journals Global existence for a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jiayi Han ◽  
Changchun Liu
Keyword(s):  
Weak Solution ◽  
Global Existence ◽  
Stokes System ◽  
Three Dimensional ◽  
Global Weak Solution ◽  
Navier Stokes ◽  
Bounded Domains

<p style='text-indent:20px;'>We consider a two-species chemotaxis-Navier-Stokes system with <inline-formula><tex-math id="M2">\begin{document}$ p $\end{document}</tex-math></inline-formula>-Laplacian in three-dimensional smooth bounded domains. It is proved that for any <inline-formula><tex-math id="M3">\begin{document}$ p\geq2 $\end{document}</tex-math></inline-formula>, the problem admits a global weak solution.</p>

scholarly journals Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Jihong Zhao ◽  
Chao Deng ◽  
Shangbin Cui
Keyword(s):  
Global Existence ◽  
Dimensional Space ◽  
System Modeling ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Poisson System ◽  
Small Initial Data ◽  
The Cauchy Problem ◽  
Self Similar ◽  
Similar Solutions

We study the Navier-Stokes-Nernst-Planck-Poisson system modeling the flow of electrohydrodynamics. For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.

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