Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory

2016/10/18 by A. E. Mamontov, Mamontov, Alexander, Д. А. Прокудин +1 · 1 citation
Mathematics · #35A05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1610.05536

openalex publication_date 2016/10/18 · openalex created_date 2016/10/28 · openalex updated_date 2026/07/28

Abstract

We consider the model of viscous compressible homogeneous multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundary value problems. We analyze crucial mathematical difficulties which arise during the proof of the existence theorems.

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

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