Title of article :
On the Boltzmann equation for Fermi–Dirac particles with very soft potentials: Global existence of weak solutions
Author/Authors :
Xuguang Lu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
57
From page :
1705
To page :
1761
Abstract :
For general initial data we prove the global existence and weak stability of weak solutions of the Boltzmann equation for Fermi–Dirac particles in a periodic box for very soft potentials (−5<γ −3) with a weak angular cutoff. In particular the Coulomb interaction (γ=−3) with the weak angular cutoff is included. The conservation of energy and moment estimates are also proven under a further angular cutoff. The proof is based on the entropy inequality, velocity averaging compactness of weak solutions, and various continuity properties of general Boltzmann collision integral operators.
Keywords :
Fermi–Dirac particles , coulomb interaction , Weak angular cutoff , global existence , Boltzmann equation
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year :
2008
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number :
751479
Link To Document :
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