Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution
نویسندگان
چکیده
منابع مشابه
Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution
We investigate a coupling between the compressible Navier–Stokes–Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing on vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the gl...
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We study steady compressible Navier–Stokes–Fourier system in a bounded three– dimensional domain. Considering a general pressure law of the form p = (γ − 1)̺e, we show existence of a variational entropy solution (i.e. solution satisfying balance of mass, momentum, entropy inequality and global balance of total energy) for γ > 3+ √ 41 8 which is a weak solution (i.e. also the weak formulation of ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140957640