Solvability of a steady boundary-value problem for the equations of one-temperature viscous compressible heat-conducting bifluids

2017/10/18 by A. E. Mamontov, Mamontov, Alexander, Д. А. Прокудин +1
Computer Science · Engineering · Mathematics · #35Q35 #76N10 #76T99 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1710.06626

openalex publication_date 2017/10/18 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28

Abstract

We consider a boundary-value problem describing the steady motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of phase temperatures (which is physically justified in certain situations), that is, we retain all summands in equations that are a natural generalization of the Navier-Stokes-Fourier model of the motion of a one-component medium. We prove the existence of weak generalized solutions of the problem.

Citations

• On commutators of singular integrals and bilinear singular integrals
• Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory

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