The evolution of resonant oscillations in closed tubes

DOI10.1007/BF00949060zbMath0575.76073MaRDI QIDQ1064226

Michael P. Mortell, Edward A. Cox

Publication date: 1983

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

nonlinear functional-differential equationRiemann invariantsimilarity parameterinviscid gasflow in closed tubesone dimensional isentropic flowoscillating piston

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15)

Related Items (12)

The evolution of nonlinear resonant oscillations in closed tubes: Solution of the standard mapping ⋮ The evolution of resonant water-wave oscillations ⋮ Nonlinear acoustics in non-uniform infinite and finite layers ⋮ Resonant sloshing in shallow water ⋮ The Passing of Resonance Zones of a Piston in a Closed Tube ⋮ Resonance: The Effect of Nonlinearity, Geometry and Frequency Dispersion ⋮ Resonant oscillations in shallow water with small mean-square disturbances ⋮ On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations ⋮ Transversal waves in a reciprocating compressor ⋮ The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry ⋮ Resonant oscillations of an inhomogeneous gas between concentric spheres ⋮ The evolution of a finite rate periodic oscillation

Cites Work

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• Theory of functional differential equations. 2nd ed
• The evolution of nonlinear standing waves in bounded media
• Nonlinear Oscillations of a Column of Gas
• A finite-rate theory of resonance in a closed tube: discontinuous solutions of a functional equation
• Resonant oscillations in closed tubes: the solution of Chester's equation
• Resonant acoustic oscillations with damping: small rate theory
• Resonant surface waves
• Resonant oscillations in closed tubes

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