The asymptotic problem for the springlike motion of a heavy piston in a viscous gas

DOI10.1090/S0033-569X-07-01076-5zbMath1169.76053OpenAlexW2044267696MaRDI QIDQ5301287

Stuart S. Antman, J. Patrick Wilber

Publication date: 29 April 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2007-65-03/S0033-569X-07-01076-5/home.html

zbMATH Keywords

1-dimensional gas dynamics, piston, viscous gas, quasilinear parabolic-hyperbolic system, asymptotics, transmission, attractors

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Gas dynamics (general theory) (76N15) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (6)

Asymptotics and attractors for quasilinear parabolic-hyperbolic systems governing the motions of heavily burdened deformable bodies ⋮ The asymptotics of heavily burdened viscoelastic rods ⋮ Analysis of a system modelling the motion of a piston in a viscous gas ⋮ Analysis of a system modeling the interaction between the motion of piston-spring and a viscous gas ⋮ Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions ⋮ Flow of heat conducting fluid in a time-dependent domain

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