The pressureless damped Euler-Riesz system in the critical regularity framework

2024/06/28 by Meiling Chi, Chi, Meiling, Ling-Yun Shou +3
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.2406.19955

Abstract

We are concerned with a system governing the evolution of the pressureless compressible Euler equations with Riesz interaction and damping in ℝ^d (d≥1), where the interaction force is given by ∇(-Δ)^\smash(α-d)/(2)(ρ-ρ) with d-2<α

Related

• The pressureless damped Euler-Riesz equations
• The Pressureless Euler--Navier--Stokes System
• On well-posedness and singularity formation for the Euler-Riesz system
• Damped Euler system with attractive Riesz interaction forces
• Zero-relaxation and vanishing-damping limits of pressureless Euler system