A Nonlinear Boltzmann Equation in Transport Theory
نویسندگان
چکیده
منابع مشابه
The Boltzmann Transport Equation: Theory and Applications
The classical theory of transport processes is based on the Boltzmann transport equation. The equation can be derived simply by defining a distribution function and inspecting its time derivative. From this equation, many important results can be derived. In addition to some of the textbook results from the Boltzmann transport equation, it is still being used in many contemporary research proje...
متن کاملTheory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...
متن کاملNonlinear Stability of the Boltzmann Equation in a Periodic Box
We study the nonlinear stability of the Boltzmann equation in the 3-dimensional periodic box with size 1/ε of each side, where 0 < ε 1 is the Knudsen number. The initial perturbation is not necessary smooth. The convergence rate is algebraic for small time region and exponential for large time region. Moreover, the algebraic rate is optimal and the exponential rate depends on the size of the do...
متن کاملOn a Generalized Boltzmann Equation for Non-Classical Particle Transport∗
We are interested in non-standard transport equations where the description of the scattering events involves an additional “memory variable”. We establish the well posedness and investigate the diffusion asymptotics of such models. While the questions we address are quite classical the analysis is original since the usual dissipative properties of collisional transport equations is broken by t...
متن کاملHeat transport and the Boltzmann equation in the theory of thermal boundary resistance
2014 We consider a steady state heat flux flowing through a metallic slab in contact with liquid helium, and study the spatial variations of the phonon and electron heat fluxes in the vicinity of the solid-helium interface, by solving simultaneously the phonon Boltzmann equation and the electron energy balance equation. A mean phonon temperature, defined in each mode, presents a non linear beha...
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: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.2307/1996799