Global solutions of real compressible reactive gas with density-dependent viscosity and self-gravitation for higher-order kinetics |
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Authors: | Xulong Qin Zheng-an Yao |
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Affiliation: | a Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, People's Republic of China b Department of Mathematics, Dalian Nationalities University, Dalian 116600, People's Republic of China |
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Abstract: | A mathematical model for viscous, real, compressible, reactive fluid flows is considered. The existence of global solutions for the free boundary problem with species diffusion in dynamic combustion is established when the viscosity λ depends on the density i.e., λ(ρ)=Aρα (), where A is a generic positive constant. Furthermore, the equations of state depend nonlinearly on density and temperature unlike the case of perfect gases or radiative flows. In addition, the shock wave, turbulence, vacuum, mass concentration or extremely hot spot will not be developed in any finite time if the initial data do not contain vacuum. |
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Keywords: | Reactive Heat-conducting gas Free boundary problem Self-gravitation density-dependent viscosity Global existence |
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