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On the initial-value problem of the Maxwell-Lorentz equations.

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On the initial-value problem of the Maxwell-Lorentz equations. / Perlick, Volker; Carr, Anthony.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 43, No. 44, 05.11.2010, p. 445502.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Perlick, V & Carr, A 2010, 'On the initial-value problem of the Maxwell-Lorentz equations.', Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 44, pp. 445502. https://doi.org/10.1088/1751-8113/43/44/445502

APA

Perlick, V., & Carr, A. (2010). On the initial-value problem of the Maxwell-Lorentz equations. Journal of Physics A: Mathematical and Theoretical, 43(44), 445502. https://doi.org/10.1088/1751-8113/43/44/445502

Vancouver

Perlick V, Carr A. On the initial-value problem of the Maxwell-Lorentz equations. Journal of Physics A: Mathematical and Theoretical. 2010 Nov 5;43(44):445502. doi: 10.1088/1751-8113/43/44/445502

Author

Perlick, Volker ; Carr, Anthony. / On the initial-value problem of the Maxwell-Lorentz equations. In: Journal of Physics A: Mathematical and Theoretical. 2010 ; Vol. 43, No. 44. pp. 445502.

Bibtex

@article{b399b4a1a74f46b49f7827ffc583deaa,
title = "On the initial-value problem of the Maxwell-Lorentz equations.",
abstract = "We consider the Maxwell-Lorentz equations, i.e., the equation of motion of a charged dust coupled to Maxwell's equations, on an arbitrary general-relativistic spacetime. We decompose this system of equations into evolution equations and constraints, and we demonstrate that the evolution equations are strongly hyperbolic. This result guarantees that the initial-value problem of the Maxwell- Lorentz equations is well-posed. We illustrate this general result with a discussion of spherically symmetric solutions on Minkowski spacetime.",
author = "Volker Perlick and Anthony Carr",
year = "2010",
month = nov,
day = "5",
doi = "10.1088/1751-8113/43/44/445502",
language = "English",
volume = "43",
pages = "445502",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "44",

}

RIS

TY - JOUR

T1 - On the initial-value problem of the Maxwell-Lorentz equations.

AU - Perlick, Volker

AU - Carr, Anthony

PY - 2010/11/5

Y1 - 2010/11/5

N2 - We consider the Maxwell-Lorentz equations, i.e., the equation of motion of a charged dust coupled to Maxwell's equations, on an arbitrary general-relativistic spacetime. We decompose this system of equations into evolution equations and constraints, and we demonstrate that the evolution equations are strongly hyperbolic. This result guarantees that the initial-value problem of the Maxwell- Lorentz equations is well-posed. We illustrate this general result with a discussion of spherically symmetric solutions on Minkowski spacetime.

AB - We consider the Maxwell-Lorentz equations, i.e., the equation of motion of a charged dust coupled to Maxwell's equations, on an arbitrary general-relativistic spacetime. We decompose this system of equations into evolution equations and constraints, and we demonstrate that the evolution equations are strongly hyperbolic. This result guarantees that the initial-value problem of the Maxwell- Lorentz equations is well-posed. We illustrate this general result with a discussion of spherically symmetric solutions on Minkowski spacetime.

U2 - 10.1088/1751-8113/43/44/445502

DO - 10.1088/1751-8113/43/44/445502

M3 - Journal article

VL - 43

SP - 445502

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 44

ER -