Relative entropy inequality for capillary fluids with density dependent viscosity and applications

2023/05/16 by Matteo Caggio, Donatella Donatelli, Caggio, Matteo +1 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #Cosmology and Gravitation Theories #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2305.09339

openalex publication_date 2023/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a relative entropy inequality for capillary compressible fluids with density dependent viscosity. Applications in the context of weak-strong uniqueness analysis, pressureless fluids and high-Mach number flows are presented.

Cited by

• Weak-Strong Uniqueness and Relaxation Limit for a Navier-Stokes-Korteweg Model
• Anelastic approximation for the degenerate compressible Navier--Stokes equations revisited
• Inviscid incompressible limit for capillary fluids with density dependent viscosity

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