On the Motion of a Fluid-Filled Rigid Body with Navier Boundary Conditions

DOI10.1137/18M1212264zbMath1416.35211arXiv1809.03852WikidataQ127931556 ScholiaQ127931556MaRDI QIDQ4633491

Gieri Simonett, Giusy Mazzone, Jan W. Prüss

Publication date: 3 May 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03852

zbMATH Keywords

rigid body motionglobal existencecritical spacesNavier boundary conditionsnormally hyperbolicnormally stablefluid-solid interactions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Semilinear parabolic equations (35K58)

Related Items (4)

Stability and long-time behaviour of a rigid body containing a damper ⋮ On the motion of a pendulum with a cavity filled with a compressible fluid ⋮ On the free rotations of rigid bodies with a liquid-filled gap ⋮ Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity

Cites Work

• Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
• Inertial motions of a rigid body with a cavity filled with a viscous liquid
• The motion of the rigid body in the viscous fluid including collisions. Global solvability result
• On critical spaces for the Navier-Stokes equations
• On convergence of solutions to equilibria for quasilinear parabolic problems
• On a boundary value problem for a stationary system of Navier-Stokes equations
• On the stability of a top with a cavity filled with a viscous fluid
• On the instability of a rotating body with a cavity filled with viscous liquid
• On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions
• Critical spaces for quasilinear parabolic evolution equations and applications
• A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
• On the ``viscous incompressible fluid + rigid body system with Navier conditions
• On the nonstationary Navier-Stokes systems
• A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time-Varying Domain
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• On the motion of a rigid body with a cavity filled with a viscous liquid
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Roughness-induced flow instability: a lattice Boltzmann study
• A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall
• Stability of Permanent Rotations and Long-Time Behavior of Inertial Motions of a Rigid Body with an Interior Liquid-Filled Cavity
• On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
• Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries
• On the stability of stationary motions of rigid bodies with cavities containing fluid
• Large scale detection of half-flats in CAT(0)-spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Motion of a Fluid-Filled Rigid Body with Navier Boundary Conditions