Incompressible Navier-Stokes limit for the Enskog equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Incompressible Navier-Stokes limit for the Enskog equation

K e y w o r d s K i n e t i c equations, Navier-Stokes system, Singularly perturbed problem, Hydrodynamic limit. The Boltzmann equation, in the hydrodynamic limit, as both the Knudsen number and the Mach number are of the same order and tend to 0, is consistent with the incompressible NavierStokes equation (set [1-a]). Our aim is to study the incompressible macroscopic limit for the Enskog kine...

متن کامل

The Incompressible Navier-stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

The present paper proves that all limit points of sequences of renormalized solutions of the Boltzmann equation in the limit of small, asymptotically equivalent Mach and Knudsen numbers are governed by Leray solutions of the Navier-Stokes equations. This convergence result holds for hard cutoff potentials in the sense of H. Grad, and therefore completes earlier results by the same authors [Inve...

متن کامل

Stochastic Least-Action Principle for the Incompressible Navier-Stokes Equation

We formulate a stochastic least-action principle for solutions of the incompressible Navier-Stokes equation, which formally reduces to Hamilton’s principle for the incompressible Euler solutions in the case of zero viscosity. We use this principle to give a new derivation of a stochastic Kelvin Theorem for the Navier-Stokes equation, recently established by Constantin and Iyer, which shows that...

متن کامل

Incompressible, Inviscid Limit of the Compressible Navier–stokes System

– We prove some asymptotic results concerning global (weak) solutions of compressible isentropic Navier–Stokes equations. More precisely, we establish the convergence towards solutions of incompressible Euler equations, as the density becomes constant, the Mach number goes to 0 and the Reynolds number goes to infinity.  2001 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – Nous prouv...

متن کامل

Incompressible Navier - Stokes and Euler Limits of the Boltzmann Equation

We consider solutions of the Boltzmann equation, in a d-dimensional torus, d = 2,3, for macroscopic times T = t / e N , e a: 1, t 2 0, when the space variations are on a macroscopic scale x = eN-’r , N 2 2, x in the unit torus. Let u ( x , r ) be, for t to, a smooth solution of the incompressible Navier Stokes equations (INS) for N = 2 and of the Incompressible Euler equation (IE) for N > 2. We...

متن کامل

ذخیره 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: Applied Mathematics Letters

سال: 2000

ISSN: 0893-9659

DOI: 10.1016/s0893-9659(00)00084-7