ON THE ONE AND 1/2 DIMENSIONAL RELATIVISTIC VLASOV-MAXWELL SYSTEM

被引:79
作者
GLASSEY, R [1 ]
SCHAEFFER, J [1 ]
机构
[1] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213
关键词
D O I
10.1002/mma.1670130207
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
The time evolution of a collisionless plasma is studied in the case when the Viasov density ƒ is a function of the time, one space variable and two velocity variables. The electromagnetic fields E, B also have a special structure, and the magnetic field B is non‐trivial. It is shown that smooth, consistent initial values generate a uniquc smooth global solution. Copyright © 1990 John Wiley & Sons, Ltd
引用
收藏
页码:169 / 179
页数:11
相关论文
共 12 条
[1]
GLOBAL SYMMETRIC SOLUTIONS OF INITIAL VALUE-PROBLEM OF STELLAR DYNAMICS [J].
BATT, J .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 25 (03) :342-364
[2]
BIRDSALL CK, 1985, PLASMA PHYSICS VIA C
[3]
BOUNDARY-VALUE-PROBLEMS FOR THE VLASOV-MAXWELL EQUATION IN ONE DIMENSION [J].
COOPER, J ;
KLIMAS, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) :306-329
[4]
DIPERNA R, GLOBAL WEAK SOLUTION
[5]
Glassey R., 1988, Transport Theory and Statistical Physics, V17, P467, DOI 10.1080/00411458808230876
[6]
GLOBAL EXISTENCE FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM WITH NEARLY NEUTRAL INITIAL DATA [J].
GLASSEY, RT ;
SCHAEFFER, JW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 119 (03) :353-384
[7]
ABSENCE OF SHOCKS IN AN INITIALLY DILUTE COLLISIONLESS PLASMA [J].
GLASSEY, RT ;
STRAUSS, WA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 113 (02) :191-208
[8]
GLASSEY RT, 1986, ARCH RATION MECH AN, V92, P59
[9]
ON SYMMETRIC-SOLUTIONS OF THE RELATIVISTIC VLASOV-POISSON SYSTEM [J].
GLASSEY, RT ;
SCHAEFFER, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 101 (04) :459-473
[10]
HORST E, 1986, THESIS U MUNCHEN