Smoluchowski problem for metals with mirror-diffusive boundary conditions

2009 ◽  
Vol 161 (1) ◽  
pp. 1403-1414 ◽  
Author(s):  
A. V. Latyshev ◽  
A. A. Yushkanov
Keyword(s):  
Boundary Conditions ◽  
Diffusive Boundary

scholarly journals Dissipationof Energyofan AC Electric Fieldina Semi-Infinit Electron Plasma with Diffusive Boundary Conditions

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Electric Field ◽  
Boundary Conditions ◽  
Electron Plasma ◽  
Surface Absorption ◽  
Ac Electric Field ◽  
Plasma Response ◽  
Diffusive Boundary

Let us consider the electron plasma response with an arbitary degree of degeneracy to an external ac electric field. Surface absorption of the energy of an electric field is calculated.

Knudsen type group for time in ℝ and related Boltzmann type equations

2021 ◽  
pp. 2150072
Author(s):  
Jörg-Uwe Löbus
Keyword(s):  
Boundary Conditions ◽  
Global Solution ◽  
Physical Space ◽  
Type Equation ◽  
Collision Kernel ◽  
Unique Global Solution ◽  
Initial Value ◽  
Type Group ◽  
Diffusive Boundary ◽  
Diffusive Part

We consider certain Boltzmann type equations on a bounded physical and a bounded velocity space under the presence of both reflective as well as diffusive boundary conditions. We introduce conditions on the shape of the physical space and on the relation between the reflective and the diffusive part in the boundary conditions such that the associated Knudsen type semigroup can be extended to time [Formula: see text]. Furthermore, we provide conditions under which there exists a unique global solution to a Boltzmann type equation for time [Formula: see text] or for time [Formula: see text] for some [Formula: see text] which is independent of the initial value at time 0. Depending on the collision kernel, [Formula: see text] can be arbitrarily small.

Asymptotically exact diffusive boundary conditions in linear kinetic theory

1992 ◽  
Vol 33 (7) ◽  
pp. 2639-2647 ◽  
Author(s):  
F. Malvagi ◽  
M. Sammartino ◽  
G. C. Pomraning
Keyword(s):  
Kinetic Theory ◽  
Boundary Conditions ◽  
Diffusive Boundary ◽  
Linear Kinetic ◽  
Linear Kinetic Theory

scholarly journals Regularity of Milne problem with geometric correction in 3D

2017 ◽  
Vol 27 (03) ◽  
pp. 453-524 ◽  
Author(s):  
Yan Guo ◽  
Lei Wu
Keyword(s):  
Boundary Conditions ◽  
Transport Equation ◽  
Convex Domain ◽  
Neutron Transport ◽  
Geometric Correction ◽  
Neutron Transport Equation ◽  
Milne Problem ◽  
Diffusive Boundary

Consider the Milne problem with geometric correction in a 3D convex domain. Via bootstrapping arguments, we establish [Formula: see text]-regularity for its solutions. Combined with a uniform [Formula: see text]-estimate, such regularity leads to the validity of diffusive expansion for the neutron transport equation with diffusive boundary conditions.

Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions

2015 ◽  
Vol 25 (2) ◽  
pp. 315-342 ◽  
Author(s):  
Emre Esentürk ◽  
Hyung Ju Hwang ◽  
Walter A. Strauss
Keyword(s):  
Boundary Conditions ◽  
Stationary Solutions ◽  
Poisson System ◽  
Diffusive Boundary
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