3 papers
math.AP2021
A Prior Derivation and Local Existence of Classical Solutions for the Relativistic Euler Equations with Logarithmic Equation of State
Ka Luen Cheung, Sen Wong, Tat Leung Yee
In this paper, from an investigation of a symmetric hyperbolic system, a prior derivation of the logarithm equation of state is provided. Through a diffeomorphism transforming the…
math.AP2018
Global Existence of Solutions to the Compressible Euler Equations with Time-dependent Damping and Logarithmic State Equation
Ka Luen Cheung, Sen Wong
In mathematical physics, the pressure function is determined by the equation of state. There are two existing barotropic state equations: the state equation for polytropic gas with…
math.DG1999
Asymptotic Behavior of Positive Solutions of the Equation in R^n and Positive Scalar Curvature
Ka-Luen Cheung, Man-Chun Leung
We study asymptotic behavior of positive smooth solutions of the conformal scalar curvature equation in . We consider the case when the scalar curvature of the conformal…