Regular weak asymptotic solutions for some systems of compressible Euler equations by an energy method
Abstract
In the previous papers [10] , [11] and [13] , we constructed weak asymptotic solutions depending on a parameter ϵ > 0 for some systems of evolution equations and we passed to the limit ϵ = 0 by compactness to obtain Radon measures on the nD torus T n that depend continuously on time. In this paper, we prove that in presence of a regular weak asymptotic solution, all weak asymptotic solutions we constructed, for the same initial condition, converge to the same limit, then pointing out uniqueness of this limit for the above systems of partial differential equations. We also prove coherence with the classical C 1 solutions: this limit coincides with the classical C 1 solutions when they exist.
Fields of Study & Subjects
Navier-Stokes equation solutions
Computational Fluid Dynamics and Aerodynamics
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 561
- Issue
- 2
- Pages
- 130497–130497
- Publication date
- 10 February 2026
- Language
- EN