Thumbnail
Access Restriction
Open

Author Cercignani, C.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS ♦ BOLTZMANN EQUATION ♦ BOUNDARY-VALUE PROBLEMS ♦ DIFFUSION ♦ BOUNDARY CONDITIONS ♦ KERNELS ♦ COLLISIONS ♦ SLABS ♦ NONLINEAR PROBLEMS
Abstract Recently R. Illner and the author proved that, under a physically realistic truncation on the collision kernel, the Boltzmann equation in the one-dimensional slab [0,1] with general diffusive boundary conditions at 0 and 1 has a global weak solution in the traditional sense. Here it is proved that when the Maxwellians associated with the boundary conditions at x=0 and x = 1 are the same Maxwellian M{sub w}, then the solution is uniformly bounded and tends to M{sub w} for t {r_arrow}{infinity}.
ISSN 00224715
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-08-01
Publisher Place United States
Journal Journal of Statistical Physics
Volume Number 84
Issue Number 3-4


Open content in new tab

   Open content in new tab