ON THE EXISTENCE OF A WEAK SOLUTION OF A STEADY FLOW OF A HEAT CONDUCTIVE INCOMPRESSIBLE FLUID THROUGH A CASCADE OF PROFILES

2016 ◽  
Author(s):  
T. Neustupa
Keyword(s):  
Weak Solution ◽  
Incompressible Fluid ◽  
Steady Flow

scholarly journals On the steady flow of reactive gaseous mixture

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Vincent Giovangigli ◽  
Milan Pokorný ◽  
Ewelina Zatorska
Keyword(s):  
Weak Solution ◽  
Steady Flow ◽  
Continuity Equation ◽  
Gaseous Mixture ◽  
Gas Mixture ◽  
Heat Conducting ◽  
Adiabatic Exponent ◽  
Systems Of Equations ◽  
Renormalized Solution ◽  
Reactive Gas

AbstractWe present the study of systems of equations governing a steady flow of polyatomic, heat-conducting reactive gas mixture. It is shown that the corresponding system of PDEs admits a weak solution and renormalized solution to the continuity equation, provided the adiabatic exponent for the mixture γ is greater than

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.

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