arXiv subjects

Sa Jun Park

Publications and source records attributed to Sa Jun Park.

3 recordsLinked to original sources

arXiv2017

Entropy production estimates for the polyatomic ellipsoidal BGK model

We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between $0<θ\leq 1$ and $θ=0$: In each case, a distinct target Maxwellians should be chosen to estimate the entropy production functional from below by the relative entropy. The time asymptotic equilibrium state toward which the distribution function stabilizes bifurcates accordingly.

math.AP↗

arXiv2017

On a Positive decomposition of entropy production functional for the polyatomic BGK model

In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the $H$-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

math.AP↗

arXiv2017

Cauchy problem for the ellipsoidal BGK model for polyatomic particles

We establish the existence and uniqueness of mild solutions for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the evolution of polyatomic gaseous system at the mesoscopic level.

math.AP↗