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

E. Horst. Global solutions of the relativistic Vlasov-Maxwell system of plasma physics. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1990. <http://eudml.org/doc/268457>.

@book{E1990,
abstract = {CONTENTSIntroduction.....................................................................................................................................................5Notation........................................................................................................................................................10Prologue. Partial differential equations of first order. Maxwell's equations....................................................11§1. Partial differential equations of first order...............................................................................................11§2. Maxwell's equations................................................................................................................................14Chapter 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....................................................................36Chapter 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..........47Appendix A...................................................................................................................................................56Appendix B...................................................................................................................................................57References...................................................................................................................................................59},
author = {E. Horst},
keywords = {small initial data; global existence; uniqueness; relativistic Vlasov- Maxwell system},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Global solutions of the relativistic Vlasov-Maxwell system of plasma physics},
url = {http://eudml.org/doc/268457},
year = {1990},
}

TY - BOOK
AU - E. Horst
TI - Global solutions of the relativistic Vlasov-Maxwell system of plasma physics
PY - 1990
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction.....................................................................................................................................................5Notation........................................................................................................................................................10Prologue. Partial differential equations of first order. Maxwell's equations....................................................11§1. Partial differential equations of first order...............................................................................................11§2. Maxwell's equations................................................................................................................................14Chapter 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....................................................................36Chapter 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..........47Appendix A...................................................................................................................................................56Appendix B...................................................................................................................................................57References...................................................................................................................................................59
LA - eng
KW - small initial data; global existence; uniqueness; relativistic Vlasov- Maxwell system
UR - http://eudml.org/doc/268457
ER -