Problem on small motions and normal oscillations of capillary viscous liquids in rotating vessels

DOI10.1007/s10958-010-9762-yzbMath1301.35110OpenAlexW1998926125MaRDI QIDQ461742

Nikolay Dmitrievich Kopachevsky

Publication date: 13 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-9762-y

zbMATH Keywords

strong solutionsspectrumparabolic equationLaplace-Beltrami operatoroscillationscapillary viscous liquidsrotating vessels

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Stokes and related (Oseen, etc.) flows (76D07) General theory of rotating fluids (76U05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Strong solutions to PDEs (35D35)

Related Items (1)

Asymptotic analysis of wave motions of a viscous fluid with a free boundary

Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Valeurs propres d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid
• Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid
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