RAY VELOCITY AND EXCEPTIONAL WAVES - A COVARIANT FORMULATION

被引：13

作者：

BOILLAT, G

机构：

[1] Département de Mathématiques, Université de Clermont, Clermont-Ferrand

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 03期

关键词：

D O I：

10.1063/1.1664860

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a nonlinear field an accelerated wave sooner or later turns into a shock. When this is not the case, the wave is exceptional (e.g., Alfvén waves of magnetohydrodynamics). Then the normal speed of the wave remains undisturbed. This criterion is given a convenient coveriant form in terms of the ray velocity. As an example a thermodynamical relativistic fluid is studied.

引用

页码：452 / &

共 10 条

[1]

BOILLAT G, 1966, CR ACAD SCI A MATH, V262, P1285

[2]

BOILLAT G., 1965, PROPAGATION ONDES

[3]

BOILLAT G, TO BE PUBLISHED

[4]

BRUHBAT Y, 1966, COMMUN MATH PHYS, V3, P334

[5]

COURANT R, 1962, METHODS MATHEMATICAL, V2

[6]

FRIEDRICHS KO, 1958, NYO6486 COUR I MATH

[7]

Jeffrey A., 1964, NONLINEAR WAVE PROPA

[8] HYPERBOLIC SYSTEMS OF CONSERVATION LAWS .2. [J].

LAX, PD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :537-566

[9]

Lax R.D., 1954, ANN MATH STUD, V33, P211

[10]

Lichnerowicz A., 1955, THEORIES RELATIVISTE

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