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math.AP2023
Hydrodynamic limit and Newtonian limit from the relativistic Boltzmann equation to the classical Euler equations
Yong Wang, Changguo Xiao
The hydrodynamic limit and Newtonian limit are important in the relativistic kinetic theory. We justify rigorously the validity of the two independent limits from the special relat…
math.AP2022
The Global Well-Posedness of the Relativistic Boltzmann Equation with Diffuse Reflection Boundary Condition in Bounded Domains
Yong Wang, Changguo Xiao
The relativistic Boltzmann equation in bounded domains has been widely used in physics and engineering, for example, Tokamak devices in fusion reactors.In spite of its importance,…
math.AP2013
Existence of Entropy Solutions to Two-Dimensional Steady Exothermically Reacting Euler Equations
Gui-Qiang Chen, Changguo Xiao, Yongqian Zhang
We are concerned with the global existence of entropy solutions of the two-dimensional steady Euler equations for an ideal gas, which undergoes a one-step exothermic chemical react…