Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition

DOI10.1063/1.5007824zbMath1406.76010arXiv1710.01382OpenAlexW2964351198MaRDI QIDQ4621235

Boris Muha, Nikolai V. Chemetov, Šarka Matušú-Nečasová

Publication date: 11 February 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01382

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Related Items (12)

Improved boundary regularity for a Stokes-Lamé system ⋮ Energy equality and uniqueness of weak solutions of a ``viscous incompressible fluid \(+\) rigid body system with Navier slip-with-friction conditions in a 2D bounded domain ⋮ A uniqueness result for 3D incompressible fluid-rigid body interaction problem ⋮ Uniqueness in a Navier–Stokes-nonlinear-Schrödinger model of superfluidity* ⋮ Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ Moving boundary problems ⋮ Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction ⋮ Weak-strong uniqueness for the compressible fluid-rigid body interaction ⋮ Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension ⋮ \(L^p\)-strong solution to fluid-rigid body interaction system with Navier slip boundary condition ⋮ Existence of weak solutions for a Bingham fluid-rigid body system

Cites Work

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• 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
• The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow
• Uniqueness results for weak solutions of two-dimensional fluid-solid systems
• The Navier-Stokes equations with Navier's boundary condition around moving bodies in presence of collisions
• 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
• On the motion of rigid bodies in a viscous compressible fluid
• Strong solutions in \(L^2\) framework for fluid-rigid body interaction problem. Mixed case
• Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
• Strong solutions for the fluid–solid systems in a 2-D domain
• On the motion of several rigid bodies in an incompressible non-Newtonian fluid
• Direct Methods in the Theory of Elliptic Equations
• Existence of solutions for the equations
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall
• $L^{p}$-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

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