Analysis of a simplified model of rigid structure floating in a viscous fluid

DOI10.1007/s00332-019-09536-5zbMath1428.35383OpenAlexW2922321114MaRDI QIDQ2327827

Debayan Maity, Takéo Takahashi, Marius Tucsnak, Jorge Alonso San Martín

Publication date: 8 October 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-019-09536-5

zbMATH Keywords

strong solutionsfluid-structure interactionreturn to equilibriumviscous shallow water equationsfloating structure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydro- and aero-acoustics (76Q05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Strong solutions to PDEs (35D35)

Related Items (7)

Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure ⋮ Shallow water waves generated by a floating object: a control theoretical perspective ⋮ Almost global practical exponential stabilisation of a floating rigid body ⋮ On the return to equilibrium problem for axisymmetric floating structures in shallow water ⋮ Freely floating objects on a fluid governed by the Boussinesq equations ⋮ Waves interacting with a partially immersed obstacle in the Boussinesq regime ⋮ Boundary controllability of a system modelling a partially immersed obstacle

Cites Work

• Unnamed Item
• Unnamed Item
• A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems.
• A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems.
• Representation and control of infinite dimensional systems
• On the dynamics of floating structures
• Existence theorem for the solution of a shallow water problem
• Global existence for the Dirichlet problem for the viscous shallow water equations
• On the Shallow Water Equations at Low Reynolds Number
• Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
• A Maximal Regularity Approach to the Analysis of Some Particulate Flows
• Shallow-Water Equations and Related Topics
• A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system
• Dynamics and solutions to some control problems for water-tank systems
• On the motion of floating bodies. I
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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