Adiabatic limit for the Maxwell-Lorentz equations

Annales Henri Poincare

Volumn 1, Issue 4, 2000, Pages 625-653

  Kunze, Markus ^a   Spohn, Herbert ^b  

^a UNIVERSITY OF COLOGNE   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034356170     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001010     Document Type: Article

References (15)

1. Abraham M., Theorie der Elektrizität, Band II: Elektromagnetische Theorie der Strahlung, Teubner, Leipzig 1905
2. Bauer G. & Dürr D., The Maxwell-Lorentz system of a rigid charge distribution, preprint
3. Dautray R. & Lions J.-L., Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5: Evolution Problems I, Springer, Berlin-Heidelberg-New York 1992
4. Dirac P.A.M., Classical theory of radiating electrons, Proc. Royal Soc. London A 167, 148-169 (1938)
5. Carati A. & Galgani L., Asymptotic character of the series of classical electrodynamics and an application to bremsstrahlung, Nonlinearity 6, 905-914 (1993)
6. Carati A., Delzanno P., Galgani L. & Sassarini J., Nonuniqueness properties of the physical solutions of the Lorentz-Dirac equation, Nonlinearity 8, 65-79 (1995)
7. R. Haag, Die Selbstwechselwirkung des Elektrons, Z. Naturforsch. 10a, 752-761 (1955)
8. Jones Ch., Geometric singular perturbation theory, in Dynamical Systems, Proceedings, Montecatini Terme 1994, Ed. Johnson R., LNM 1609, Springer, Berlin-New York 1995, pp. 44-118
9. Komech A., Kunze M. & Spohn H., Effective dynamics for a mechanical particle coupled to a wave field, Comm. Math. Phys. 203, 1-19 (1999).
10. Komech A. & Spohn H., Long-time asymptotics for the coupled Maxwell-Lorentz equations, Comm. Partial Differential Equations25(3) (2000).
11. Kunze M. & Spohn H., Radiation reaction and center manifolds,to appear in SIAM J. Math. Anal.
12. Rohrlich F., Classical Charged Particles, 2nd edition, Addison-Wesley, Reading, MA, 1990
13. Sakamoto K., Invariant manifolds in singular perturbation problems for ordinary differential equations, Proc. Roy. Soc. Edinburgh Sect. A 116, 45-78 (1990)
14. Scharf G., From Electrostatics to Optics, Springer, Heidelberg 1994
15. Yaghjian A.D., Relativistic Dynamics of a Charged Sphere, Lecture Notes in Physics m 11, Springer, Berlin-New York 1992