The Boltzmann Equation Without Angular Cutoff in the Whole Space : Qualitative Properties of Solutions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 599-661 |
| Journal / Publication | Archive for Rational Mechanics and Analysis |
| Volume | 202 |
| Issue number | 2 |
| Publication status | Published - Nov 2011 |
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Abstract
This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions; the full regularization in all variables, uniqueness, non-negativity and convergence rate to the equilibrium, to be precise. Together with the results of Parts I and II about the well-posedness of the Cauchy problem around the Maxwellian, we conclude this series with a satisfactory mathematical theory for the Boltzmann equation without angular cutoff. © 2011 Springer-Verlag.
Citation Format(s)
The Boltzmann Equation Without Angular Cutoff in the Whole Space : Qualitative Properties of Solutions. / Alexandre, R.; Morimoto, Y.; Ukai, S. et al.
In: Archive for Rational Mechanics and Analysis, Vol. 202, No. 2, 11.2011, p. 599-661.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
