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Convergence of Solutions of the Landau Equations in the Collisionless Limit
Author(s) -
Zhan MeiQin
Publication year - 1997
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/(sici)1099-1476(19970525)20:8<679::aid-mma876>3.0.co;2-v
Subject(s) - convergence (economics) , limit (mathematics) , mathematics , mathematical physics , mathematical analysis , economics , economic growth
This paper addresses the question: when the frequency of collisions vanishes, will the solutions of the Landau system converge to the solutions of the Vlasov system? We give a positive answer to the question for solutions satisfying certain regularity conditions. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd. Math. Meth. Appl. Sci. , Vol. 20, 679–688 (1997).