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Global solutions of the relativistic Vlasov-Maxwell system of plasma physics

100%

Horst E.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction.....................................................................................................................................................5 Notation........................................................................................................................................................10 Prologue. Partial differential equations of first order. Maxwell's equations....................................................11 §1. Partial differential equations of first order...............................................................................................11 §2. Maxwell's equations................................................................................................................................14 Chapter I. Small solutions of the relativistic Vlasov-Maxwell system..............................................................20 §3. Definition of the problem.........................................................................................................................21 §4. A representation theorem for Q..............................................................................................................26 §5. Representation of the derivatives of QK.................................................................................................32 §6. The existence and uniqueness theorem for small solutions....................................................................36 Chapter II. Global solutions of the modified relativistic and nonrelativistic Vlasov-Maxwell system................41 §7. An existence and uniqueness theorem...................................................................................................41 §8. The initial-value problem for the modified relativistic (and nonrelativistic) Vlasov-Maxwell system..........47 Appendix A...................................................................................................................................................56 Appendix B...................................................................................................................................................57 References...................................................................................................................................................59

Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence

96%

Horst E.

Banach Center Publications

1987

tom 19

nr 1

143-153

Ograniczanie wyników

1 Banach Center Publications

2 Horst E.

1 1990

1 1987

Wyniki wyszukiwania

Global solutions of the relativistic Vlasov-Maxwell system of plasma physics

Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence