Preprints, Working Papers, ... Year : 2023

Mathematical analysis of the motion of a piston in a fluid with density dependent viscosity

Abstract

We study a free boundary value problem modelling the motion of a piston in a viscous compressible fluid. The fluid is modelled by 1D compressible Navier-Stokes equations with possibly degenerate viscosity coefficient, and the motion of the piston is described by Newton's second law. We show that the initial boundary value problem has a unique global in time solution, and we also determine the large time behaviour of the system. Finally, we show how our methodology may be adapted to the motion of several pistons.
Fichier principal
Vignette du fichier
JMS-Piston.pdf (351.21 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04172168 , version 1 (27-07-2023)

Identifiers

  • HAL Id : hal-04172168 , version 1

Cite

Vaibhav Kumar Jena, Debayan Maity, Abu Sufian. Mathematical analysis of the motion of a piston in a fluid with density dependent viscosity. 2023. ⟨hal-04172168⟩

Collections

TDS-MACS
148 View
110 Download

Share

More