Relativistic BGK model for massless particles in the FLRW spacetime
نویسندگان
چکیده
<p style='text-indent:20px;'>In this paper, we address the Cauchy problem for relativistic BGK model proposed by Anderson and Witting massless particles in Friedmann-Lemaȋtre-Robertson-Walker (FLRW) spacetime. We first derive explicit form of Jüttner distribution FLRW spacetime, together with a set nonlinear relations that leads to conservation laws particle number, momentum, energy both Maxwell-Boltzmann Bose-Einstein particles. Then, find sufficient conditions guarantee existence equilibrium coefficients satisfying show condition is satisfied through all induction steps once it verified initial step. Using observation, construct solutions Anderson-Witting type spacetime.</p>
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ژورنال
عنوان ژورنال: Kinetic and Related Models
سال: 2021
ISSN: ['1937-5077', '1937-5093']
DOI: https://doi.org/10.3934/krm.2021031