Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies

DOI10.1007/978-3-0348-0822-4_4zbMath1347.76016OpenAlexW964161005MaRDI QIDQ2946188

Matthieu Hillairet

Publication date: 16 September 2015

Published in: Fluid-Structure Interaction and Biomedical Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0822-4_4

zbMATH Keywords

well-posednessNavier Stokes equationsfluid-solid interactionsCauchy theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (1)

On the motion of rigid bodies in a perfect fluid

Cites Work

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• Global weak solutions to the incompressible Navier-Stokes-Vlasov equations
• Uniqueness results for weak solutions of two-dimensional fluid-solid systems
• On discretization in time in simulations of particulate flows
• Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid
• Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations
• The motion of a fluid--rigid disc system at the zero limit of the rigid disc radius
• Blow up and grazing collision in viscous fluid solid interaction systems
• Regularity issues in the problem of fluid-structure interaction
• Ordinary differential equations, transport theory and Sobolev spaces
• The mean-field limit for solid particles in a Navier-Stokes flow
• Nonuniqueness of a solution to the problem on motion of a rigid body in a viscous incompressible fluid
• Compact sets in the space \(L^ p(0,T;B)\)
• A penalization method to take into account obstacles in incompressible viscous flows
• Existence of weak solutions for the motion of rigid bodies in a viscous fluid
• Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
• Existence of strong solutions for the problem of a rigid-fluid system.
• On the motion of rigid bodies in a viscous incompressible fluid.
• On the motion of rigid bodies in a viscous compressible fluid
• Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
• Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
• On a motion of a ball in a viscous fluid.
• Long-time behavior for the two-dimensional motion of a disk in a viscous fluid
• Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
• The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres
• Computation of the drag force on a sphere close to a wall
• Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Microscopic Modelling of Active Bacterial Suspensions
• Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid
• Collisions in Three-Dimensional Fluid Structure Interaction Problems
• Chute libre d’un solide dans un fluide visqueux incompressible. existence
• On the collision of rigid spheres in a weakly compressible fluid
• The motion of suspended particles almost in contact
• Existence de solutions d'un problème de couplage fluide-structure bidimensionnel instationnaire
• Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†
• Existence of solutions for the equations
• Existence for an Unsteady Fluid-Structure Interaction Problem
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
• Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow
• LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION
• On the slow motion of a sphere parallel to a nearby plane wall
• On the Slow Rotation of a Sphere about a Diameter Parallel to a Nearby Plane Wall
• On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
• A slow motion of viscous liquid caused by the rotation of a solid sphere

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