On a relativistic BGK model for polyatomic gases near equilibrium
Byung-Hoon Hwang, Tommaso Ruggeri, Seok-Bae Yun
TL;DR
This paper proves the existence and long-term behavior of solutions to a new relativistic polyatomic BGK model, addressing previous models' limitations and focusing on near-equilibrium conditions.
Contribution
It establishes the mathematical well-posedness and asymptotic stability of the relativistic polyatomic BGK model near equilibrium, a novel theoretical result.
Findings
Existence of unique classical solutions near equilibrium
Asymptotic stability of solutions over time
Addresses limitations of previous relativistic models
Abstract
Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi and Ruggeri [J. of Phys. Conf. Series, 1035, (2018)] to overcome drawbacks of the Anderson-Witting model and Marle model.In this paper, we prove the unique existence and asymptotic behavior of classical solutions to the relativistic polyatomic BGK model when the initial data is sufficiently close to a global equilibrium.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Optical properties and cooling technologies in crystalline materials · nanoparticles nucleation surface interactions