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arXiv · 1510.07578

On the motion of viscous, compressible and heat-conducting liquids

Eduard Feireisl·Antonin Novotny·Yongzhong Sun
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Abstract

We consider a system of equations governing the motion of a viscous, compressible, and heat conducting liquid-like fluid, with a general EOS of Mie-Grueneisen type. In addition, we suppose that the viscosity coefficients may decay to zero for large values of the temperature. We show the existence of global-in-time weak solution, derive a relative energy inequality, and compare the weak solutions with strong one emanating from the same initial data - the weak strong uniqueness property.

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Eduard Feireisl, Antonin Novotny, Yongzhong Sun. 2015-10-26. On the motion of viscous, compressible and heat-conducting liquids. https://doi.org/10.1063/1.4959772

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