Approximation of the boundary value problem for 3-dimensional Boltzmann’s equation with Maxwell’s microscopic conditions

2019 ◽  
Vol 60 (7) ◽  
pp. 073508
Author(s):  
A. Sakabekov ◽  
Y. Auzhani
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
3 Dimensional ◽  
Boltzmann's Equation ◽  
Boltzmann’S Equation

A BOUNDARY VALUE PROBLEM FOR MONOPOLES OVER A 3-DIMENSIONAL DISK

2004 ◽  
Vol 01 (04) ◽  
pp. 405-422
Author(s):  
ANTONELLA MARINI
Keyword(s):  
Gauge Theory ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Neumann Problem ◽  
Dimensional Reduction ◽  
Boundary Value ◽  
Ginzburg Landau ◽  
Yang Mills ◽  
3 Dimensional ◽  
Well Posed

In this paper we prove the existence of a smooth minimum for the Yang–Mills–Higgs functional over a disk in 3 dimensions among those configurations with monopoles with prescribed degree, which are covariant constant at the boundary. These boundary conditions come essentially from a 4-dimensional generalized Neumann problem for the pure Yang–Mills functional and dimensional reduction. This problem is well-posed only as a gauge theory in dimension 3. It extends analogous results on Ginzburg–Landau vortices in 2 dimensions.

scholarly journals Global Existence of Solution to Initial Boundary Value Problem for Bipolar Navier-Stokes-Poisson System

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Jian Liu ◽  
Haidong Liu
Keyword(s):  
Global Existence ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Navier Stokes ◽  
Spherically Symmetric ◽  
3 Dimensional ◽  
Poisson Equations ◽  
Initial Boundary Value

This paper concerns initial boundary value problem for 3-dimensional compressible bipolar Navier-Stokes-Poisson equations with density-dependent viscosities. When the initial data is large, discontinuous, and spherically symmetric, we prove the global existence of the weak solution.

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