On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid

DOI10.3103/S1066369X20080071zbMath1457.76069OpenAlexW3082582439MaRDI QIDQ2225887

Denis Olegovich Tsvetkov

Publication date: 11 February 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20080071

zbMATH Keywords

existenceCauchy problemHilbert spacestrong solutionlinear vibrationelastic membrane

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Stratification effects in viscous fluids (76D50) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

The problem of normal oscillations of a viscous stratified fluid with an elastic membrane ⋮ Oscillations of a system of rigid bodies partially filled with viscous fluids under the action of an elastic damping device

Cites Work

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• Valeurs propres d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
• Vibrations of a compressible fluid in a cavity closed by a membrane supported by a screen
• Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid

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