Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Soft congestion approximation to the one-dimensional constrained Euler equations

Abstract : This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The result is twofold. First, we establish the existence of bounded weak solutions by means of a viscous regularization and refined compensated compactness arguments. Second, we investigate the smooth setting by providing a detailed description of the impact of the singular pressure on the breakdown of the solutions. In this smooth framework, we rigorously justify the singular limit towards the free-congested Euler equations, where the compressible (free) dynamics is coupled with the incompressible one in the constrained (i.e. congested) domain.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [34 references]  Display  Hide  Download
Contributor : Charlotte Perrin <>
Submitted on : Tuesday, May 26, 2020 - 11:16:04 AM
Last modification on : Monday, December 14, 2020 - 5:58:19 PM


Files produced by the author(s)


  • HAL Id : hal-02624318, version 1


Roberta Bianchini, Charlotte Perrin. Soft congestion approximation to the one-dimensional constrained Euler equations. 2020. ⟨hal-02624318⟩



Record views


Files downloads