Existence of weak solutions to the three-dimensional steady compressible Navier–Stokes equations
نویسندگان
چکیده
منابع مشابه
Global Existence of Martingale Solutions to the Three-dimensional Stochastic Compressible Navier-stokes Equations
The stochastic three-dimensional compressible Navier-Stokes equations are considered in a bounded domain with multiplicative noise. The global existence of martingale solution is established through the Galerkin approximation method, stopping time, compactness method and the Jakubowski-Skorokhod theorem. A martingale solution is a weak solution for the fluid variables and the Brownian motion on...
متن کاملCompactness of Weak Solutions to the Three-dimensional Compressible Magnetohydrodynamic Equations
Abstract. The compactness of weak solutions to the magnetohydrodynamic equations for the viscous, compressible, heat conducting fluids is considered in both the three-dimensional space R and the three-dimensional periodic domains. The viscosities, the heat conductivity as well as the magnetic coefficient are allowed to depend on the density, and may vanish on the vacuum. This paper provides a d...
متن کاملWeak and Variational Solutions to Steady Equations for Compressible Heat Conducting Fluids
We study steady compressible Navier–Stokes–Fourier system in a bounded three– dimensional domain. Considering a general pressure law of the form p = (γ − 1)̺e, we show existence of a variational entropy solution (i.e. solution satisfying balance of mass, momentum, entropy inequality and global balance of total energy) for γ > 3+ √ 41 8 which is a weak solution (i.e. also the weak formulation of ...
متن کاملGlobal Existence and Large-time Behavior of Solutions to the Three-dimensional Equations of Compressible Magnetohydrodynamic Flows
The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ > 3 2 and constant viscosity c...
متن کاملGlobal existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of the smooth solution to the Cauchy problem for two-dimensional flow of Chaplygin gases.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2011
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.02.008