Weak solutions for a system modeling the movement of a piston in a viscous compressible gas

DOI10.1007/s00021-020-0481-yzbMath1444.76088OpenAlexW3033800713MaRDI QIDQ2185950

Julien Lequeurre

Publication date: 8 June 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-020-0481-y

zbMATH Keywords

uniquenessasymptotic stabilityexponential decayglobal-in-time solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Related Items (2)

Long-time behavior of several point particles in a 1D viscous compressible fluid ⋮ Refined pointwise estimates for solutions to the 1D barotropic compressible Navier-Stokes equations: an application to the long-time behavior of a point mass

Cites Work

• Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain
• On the structure of generalized solutions of the one-dimensional equations of a polytropic viscous gas
• Asymptotic stability of the solutions to a full one-dimensional system of heat-conductive, reactive, compressible viscous gas
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Analysis of a system modelling the motion of a piston in a viscous gas
• Particle supported control of a fluid-particle system

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