Radiative Vlasov-Maxwell Equations

Peter Constantin; Hezekiah Grayer

doi:10.1007/s00220-026-05661-x

Radiative Vlasov-Maxwell Equations

Peter Constantin
, Hezekiah Grayer

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.

Original language	English (US)
Article number	145
Journal	Communications In Mathematical Physics
Volume	407
Issue number	7
DOIs	https://doi.org/10.1007/s00220-026-05661-x
State	Published - Jul 2026

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-026-05661-x

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title = "Radiative Vlasov-Maxwell Equations",

abstract = "The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.",

author = "Peter Constantin and Hezekiah Grayer",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2026.",

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N2 - The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.

AB - The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.

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JO - Communications In Mathematical Physics

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Radiative Vlasov-Maxwell Equations

Abstract

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