Analysis of the small oscillations of two nonmixing fluids, the upper inviscid, the lower viscoelastic, in a fixed open container

DOI10.1007/s00021-020-00513-7zbMath1458.76005OpenAlexW3083163429MaRDI QIDQ2199730

Pierre Capodanno, Hilal Essaouini

Publication date: 14 September 2020

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

Full work available at URL: https://doi.org/10.1007/s00021-020-00513-7

zbMATH Keywords

spectrumvariational methodoperator methodeigenvalue existence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Variational methods applied to problems in fluid mechanics (76M30) Internal waves for incompressible inviscid fluids (76B55)

Related Items

On small motions of hydrodynamic systems containing a viscoelastic fluid

Cites Work

• Petites oscillations planes de deux liquides pesants non miscibles dans un vase fixe. (Small plane oscillations of two heavy non-miscible fluids in a fixed container)
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• Mathematical study of the small oscillations of two nonmixing fluids, the lower inviscid, the upper viscoelastic, in an open container
• Mathematical study of small oscillations of two heavy non-mixable fluids in a container
• Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid
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