The energy conservation for weak solutions to the relativistic Nordström-Vlasov system

Xiuting  Li

doi:10.3934/eect.2016.5.135

Article Contents

2016, Volume 5, Issue 1: 135-145. Doi: 10.3934/eect.2016.5.135

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The energy conservation for weak solutions to the relativistic Nordström-Vlasov system

Xiuting Li^1,

1.
School of Automation, Huazhong University of Science and Technology, Wuhan, Hubei 430074

Received: September 30, 2015

Revised: December 31, 2015

Published: February 2016

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Abstract

We study the Cauchy problem of the relativistic Nordström-Vlasov system. Under some additional conditions, total energy for weak solutions with BV scalar field are shown to be conserved.

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Mathematics Subject Classification: 83D05, 85A05, 35Q75, 35Q83.

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