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Local existence of solutions to the Landau–Maxwell system
Author(s) -
Zhan MeiQin
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670170804
Subject(s) - mathematics , maxwell's equations , maxwell relations , mathematical analysis , inhomogeneous electromagnetic wave equation , electromagnetic field , physics , quantum mechanics , optical field
We study here the Landau–Maxwell system in its classical form. We prove the local existence of weak solution with initial data of unrestricted size. The main tools consist of an approximation method and a regularity result for velocity averages of solutions of some general linear transport equations.