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Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension 被引量:2
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作者 fei-min huang Xing LI 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第2期239-256,共18页
In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wa... In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α -1/3|lnα|2. 展开更多
关键词 rarefaction wave compressible euler system radiating gas hyperbolic-elliptic system
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Boundary Layer Solution of the Boltzmann Equation for Specular Boundary Condition
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作者 fei-min huang Zai-hong JIANG Yong WANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2023年第1期65-94,共30页
In the paper,we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in Lx,v2∩Lx,v∞in half-space.The uniqueness,continuity and exponential decay of the sol... In the paper,we establish the existence of steady boundary layer solution of Boltzmann equation with specular boundary condition in Lx,v2∩Lx,v∞in half-space.The uniqueness,continuity and exponential decay of the solution are obtained,and such estimates are important to prove the Hilbert expansion of Boltzmann equation for half-space problem with specular boundary condition. 展开更多
关键词 Botlzmann equation boundary layer steady problem specular boundary condition a priori estimate
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Preface:Hyperbolic System of Conservation Laws and Related Topics
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作者 fei-min huang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2023年第1期1-2,共2页
The history of hyperbolic system of conservation laws can date back to the eighteenth century,after several works of the natural philosophers,most notably L.Euler.The compressible Euler system,consisting of mass,momen... The history of hyperbolic system of conservation laws can date back to the eighteenth century,after several works of the natural philosophers,most notably L.Euler.The compressible Euler system,consisting of mass,momentum and energy in the divergence form,is the prototypical model of the hyperbolic system of conservation laws,and its main feature is the shock formation in a finite time no matter how the initial values smooth.This poses huge challenges in the mathematical analysis. 展开更多
关键词 HYPERBOLIC SYSTEM HYPERBOLIC
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