Dynamics of a crankshaft mechanism under the pressure of a viscous gas

DOI10.1134/S0081543820050181zbMath1454.35297MaRDI QIDQ2214296

P. I. Plotnikov, Jan Sokolowski

Publication date: 8 December 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionsinhomogeneous boundary conditionsviscous gascrankshaft mechanism

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Compressible Navier-Stokes equations (76N06)

Cites Work

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• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Analysis of the adiabatic piston problem via methods of continuum mechanics
• Analysis of a system modelling the motion of a piston in a viscous gas
• Compressible Navier-Stokes Equations
• HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL
• Boundary Control of the Motion of a Heavy Piston in Viscous Gas

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