22 research outputs found
Stability of Rarefaction Waves for the Non-cutoff Vlasov-Poisson-Boltzmann System with Physical Boundary
In this paper, we are concerned with the Vlasov-Poisson-Boltzmann (VPB)
system in three-dimensional spatial space without angular cutoff in a
rectangular duct with or without physical boundary conditions. Near a local
Maxwellian with macroscopic quantities given by rarefaction wave solution of
one-dimensional compressible Euler equations, we establish the time-asymptotic
stability of planar rarefaction wave solutions for the Cauchy problem to VPB
system with periodic or specular-reflection boundary condition. In particular,
we successfully introduce physical boundaries, namely, specular-reflection
boundary, to the models describing wave patterns of kinetic equations.
Moreover, we treat the non-cutoff collision kernel instead of the cutoff one.
As a simplified model, we also consider the stability and large time behavior
of the rarefaction wave solution for the Boltzmann equation.Comment: All comments are welcom
Green's Function and Pointwise Behaviors of the One-Dimensional modified Vlasov-Poisson-Boltzmann System
The pointwise space-time behaviors of the Green's function and the global
solution to the modified Vlasov- Poisson-Boltzmann (mVPB) system in
one-dimensional space are studied in this paper. It is shown that, the Green's
function admits the diffusion wave, the Huygens's type sound wave, the singular
kinetic wave and the remainder term decaying exponentially in space-time. These
behaviors are similar to the Boltzmann equation (Liu and Yu in Comm. Pure Appl.
Math. 57: 1543-1608, 2004). Furthermore, we establish the pointwise space-time
nonlinear diffusive behaviors of the global solution to the nonlinear mVPB
system in terms of the Green's function
NASA Thesaurus. Volume 2: Access vocabulary
The NASA Thesaurus -- Volume 2, Access Vocabulary -- contains an alphabetical listing of all Thesaurus terms (postable and nonpostable) and permutations of all multiword and pseudo-multiword terms. Also included are Other Words (non-Thesaurus terms) consisting of abbreviations, chemical symbols, etc. The permutations and Other Words provide 'access' to the appropriate postable entries in the Thesaurus
NASA Thesaurus. Volume 1: Hierarchical listing
There are 16,713 postable terms and 3,716 nonpostable terms approved for use in the NASA scientific and technical information system in the Hierarchical Listing of the NASA Thesaurus. The generic structure is presented for many terms. The broader term and narrower term relationships are shown in an indented fashion that illustrates the generic structure better than the more widely used BT and NT listings. Related terms are generously applied, thus enhancing the usefulness of the Hierarchical Listing. Greater access to the Hierarchical Listing may be achieved with the collateral use of Volume 2 - Access Vocabulary