Global Low-Energy Weak Solutions of a Fluid–Particle Interaction Model with Vacuum in ℝ3

Axioms 2026 Open access

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Authors: Bingyuan Huang, Jinrui Huang, Zonghao Lin, Yongtong Liu
DOI: 10.3390/axioms15030196
Cited by: 0
References: 29

Abstract

Provided that the initial data (ρ0,v0,η0) is of small energy around steady state (ρ▵,0,0), in this work we obtain the global-in-time existence of weak solutions to a fluid particle interaction system. It should be pointed out that vacuum is allowed in this work.

Fields of Study & Subjects

Navier-Stokes equation solutions Gas Dynamics and Kinetic Theory Computational Fluid Dynamics and Aerodynamics

Publication details

Journal / source
Axioms
Volume
15
Issue
3
Pages
196–196
Publication date
6 March 2026
Language
EN