On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium
Byung-Hoon Hwang, Tommaso Ruggeri, Seok-Bae Yun
Abstract
Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi and Ruggeri [J. Phys. Conf. Ser., 1035 (2018), 012005] to overcome drawbacks of the Anderson--Witting model and the 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.
Topics & Concepts
Polyatomic ionStatistical physicsPhysicsMathematicsQuantum mechanicsIonGas Dynamics and Kinetic TheoryHigh-Energy Particle Collisions ResearchNavier-Stokes equation solutions