A large data existence result for the stationary Boltzmann equation in a cylindrical geometry
نویسندگان
چکیده
An L-existence theorem is proved for the nonlinear stationary Boltzmann equation with hard forces and no small velocity truncation only the Grad angular cut-off in a setting between two coaxial rotating cylinders when the indata are given on the cylinders.
منابع مشابه
A Simplified Curved Boundary Condition in Stationary/Moving Boundaries for the Lattice Boltzmann Method
Lattice Boltzmann method is one of computational fluid dynamic subdivisions. Despite complicated mathematics involved in its background, end simple relations dominate on it; so in comparison to the conventional computational fluid dynamic methods, simpler computer programs are needed. Due to its characteristics for parallel programming, this method is considered efficient for the simulation of ...
متن کاملOn the Possibility of Kinetic Flow through Fractal Holes in a Surface
The paper considers initial boundary value problems for the non-linear Boltzmann equation with large L 1 initial data and for the lin-earised Bolzmann equation with L 2 initial data. Particular problems under analysis describe ows in a domain consisting of two subdomains connected through a joint part ? of the boundary which can have a complicated fractal geometry. The presence of interaction b...
متن کاملBoundary Value Problems for the Stationary Vlasov-Boltzmann-Poisson Equation
We investigate the well posedness of stationary Vlasov-Boltzmann equations both in the simpler case of linear problem with a space varying force field and a collisional integral satisfying the detailed balanced principle with a non-singular scattering function, and, the non-linear Vlasov-Poisson-Boltzmann system. For the former we obtain existence-uniqueness results for arbitrarily large integr...
متن کاملOn Long Time Asymptotics of the Vlasov-fokker-planck Equation and of the Vlasov-poisson-fokker-planck System with Coulombic and Newtonian Potentials
We prove that the solution of the Vlasov-Fokker-Planck equation converges to the unique stationary solution with same mass as time tends to infinity. The same result holds in the repulsive coulombic case for the Vlasov-Poisson-Fokker-Planck system; the newtonian attractive case is also studied. We establish positive and negative answers to the question of existence of a stationary solution for ...
متن کاملGlobal Existence Proof for Relativistic Boltzmann Equation with Hard Interactions
By combining the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation and the Dudyński and Ekiel-Jeżewska device of the causality of the relativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003