Increased lifespan for 3D compressible Euler flows with rotation

2025/09/24 by Ko, Haram, Pausader, Benoit, Takada, Ryo +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.20505

Abstract

We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and size of the initial data. Along the way, we obtain precise dispersive decay estimates for the linearized equation. In the incompressible limit, this improves current bounds for the incompressible Euler-Coriolis system as well.

Citations

• Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data
• Compressible Navier--Stokes--Coriolis system in critical Besov spaces
• Dispersion of compressible rotating Euler equations with low Mach and Rossby numbers
• Global axisymmetric solutions for Navier-Stokes equation with rotation uniformly in the inviscid limit
• Global solutions to the Euler-Coriolis system
• The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions
• Shock formation and vorticity creation for 3d Euler
• Formation of point shocks for 3D compressible Euler
• On a singular limit for the compressible rotating Euler system
• Multiple scales and singular limits of perfect fluids
• Dispersive effects of weakly compressible and fast rotating inviscid fluids
• The Euler-Maxwell two-fluid system in 3D

Cited by

• Linear decay of the beta-plane equation near Couette flow on the plane
• The effect of linear stratification on the stability of a rest state in the 2D inviscid Boussinesq system

Related

• Incompressible and fast rotation limits for 3D compressible rotating Euler system with general initial data
• Dispersion of compressible rotating Euler equations with low Mach and Rossby numbers
• Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations
• Large time existence of Euler-Korteweg equations and two-fluid Euler-Maxwell equations with vorticity
• Lifespan Bounds and Super-Classical Propagation for Weak Solutions of the Three-Dimensional Compressible Euler Equations