Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
نویسنده
چکیده
We prove weak-strong uniqueness results for the isentropic compressible Navier-Stokes system on the torus. In other words, we give conditions on a strong solution so that it is unique in a class of weak solutions. Known weak-strong uniqueness results are improved. Classical uniqueness results for this equation follow naturally.
منابع مشابه
Weak-strong uniqueness for compressible Navier-Stokes system with slip boundary conditions on time dependent domains
We consider the compressible Navier-Stokes system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the velocity. We derive the relative entropy inequality in the spirit of [7] for the system on moving domain and use it to prove the weak-strong uniqueness property.
متن کاملOn compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable Abstract. We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant γ > 3/2.
متن کاملOn the free boundary value problem for one-dimensional compressible Navier-Stokes equations with constant exterior pressure
*Correspondence: [email protected] 1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450011, P.R. China 2Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we consider the free bounda...
متن کاملOn the nonexistence of time dependent global weak solutions to the compressible Navier-Stokes equations
In this paper we prove the nonexistence of global weak solutions to the compressible Navier-Stokes equations for the isentropic gas in R N , N ≥ 3, where the pressure law given by p(ρ) = aρ γ , a > 0, 1 < γ ≤
متن کاملSelf-propelled motion in a viscous compressible fluid – unbounded domains
In this paper we study the self-propelled motion of a single deformable body in a viscous compressible fluid which occupies whole 3-dimensional Euclidean space. The considered governing system for the fluid is the isentropic compressible Navier-Stokes equations. The main result of this paper is the existence of a weak solution on a time interval (0,+∞).
متن کامل