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LOCAL EXISTENCE WITH MILD REGULARITY FOR THE BOLTZMANN EQUATION
Langue
en
Article de revue
Ce document a été publié dans
Kinetic and Related Models. 2013, vol. 6, n° 4, p. 1011-1041
AIMS
Résumé en anglais
Without Grad's angular cuto assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two newimprovements: the index of Sobolev spaces for the solution is related to the parameter ...Lire la suite >
Without Grad's angular cuto assumption, the local existence of classical solutions to the Boltzmann equation is studied. There are two newimprovements: the index of Sobolev spaces for the solution is related to the parameter of the angular singularity; moreover, we do not assume that theinitial data is close to a global equilibrium. Using the energy method, one important step in the analysis is the study of fractional derivatives of thecollision operator and related commutators.< Réduire
Mots clés en anglais
fractional derivatives.
existence of solution
energy estimates
Boltzmann equation
Origine
Importé de halUnités de recherche