Energy method for Boltzmann equation
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||Physica D: Nonlinear Phenomena|
|Publication status||Published - 1 Feb 2004|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-0346498040&origin=recordpage|
A basic, simple energy method for the Boltzmann equation is presented here. It is based on a new macro-micro decomposition of the Boltzmann equation as well as the H-theorem. This allows us to make use of the ideas from hyperbolic conservation laws and viscous conservation laws to yield the direct energy method. As an illustration, we apply the method for the study of the time-asymptotic, nonlinear stability of the global Maxwellian states. Previous energy method, starting with Grad and finishing with Ukai, involves the spectral analysis and regularity of collision operator through sophisticated weighted norms. © 2003 Elsevier B.V. All rights reserved.
- Boltzmann equation, H-theorem, Macro-micro decomposition, Maxwellian states