Kinetic description of stable white dwarfs

Juhi Jang; Jinmyoung Seok

doi:10.3934/krm.2021033

Article Contents

2022, Volume 15, Issue 4: 605-620. Doi: 10.3934/krm.2021033

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Kinetic description of stable white dwarfs

Juhi Jang^1, , and
Jinmyoung Seok^2,

1.
Department of Mathematics, University of Southern California, Los Angeles, CA 90089 USA
2.
Department of Mathematics, Kyonggi University, Suwon 16227, Republic of Korea

^* Corresponding author
^* Corresponding author

Received: June 2021

Early access: November 2021

Published: August 2022

This article is dedicated to the memory of Bob Glassey. JJ is supported in part by the NSF DMS-grant 2009458. JS is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (NRF-2020R1C1C1A01006415)

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Abstract

In this paper, we study fermion ground states of the relativistic Vlasov-Poisson system arising in the semiclassical limit from relativistic quantum theory of white dwarfs. We show that fermion ground states of the three dimensional relativistic Vlasov-Poisson system exist for subcritical mass, the mass density of such fermion ground states satisfies the Chandrasekhar equation for white dwarfs, and that they are orbitally stable as long as solutions exist.

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Mathematics Subject Classification: Primary: 35Q83, 35Q85; Secondary: 35B35.

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