scholarly journals L∞ resolvent bounds for steady Boltzmann's Equation

2017 ◽  
Vol 10 (4) ◽  
pp. 1255-1257 ◽  
Author(s):  
Kevin Zumbrun ◽  
Keyword(s):  
Boltzmann's Equation ◽  
Boltzmann’S Equation

scholarly journals Boundary Effects in Solution of Boltzmann's Equation for Electron Swarms

1981 ◽  
Vol 34 (3) ◽  
pp. 223 ◽  
Author(s):  
RE Robson
Keyword(s):  
Steady State ◽  
Analytic Solution ◽  
Full Range ◽  
Mean Free Path ◽  
Path Model ◽  
Zero Field ◽  
Frequency Model ◽  
Molecule Interactions ◽  
Boltzmann's Equation ◽  
Boltzmann’S Equation

The combined effect of interaction of electrons with walls, neutral molecules and an electrostatic field is considered through analytic solution of Boltzmann's equation. In the first instance, we discuss a half-range decomposition in velocity space, corresponding to electrons moving to and from the walls, which is valid for all types of electron-molecule interactions. The half-range equations are solved in the steady state for zero field and the constant mean free path model, and it is shown that the familiar full-range 'two-term' approximation equations are adequate in this case, as far as estimating bulk properties of the electrons is concerned. For the nonzero field, again in the steady state, the full-range equations are solved for the constant collision frequency model.

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