$L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
From MaRDI portal
Publication:4913815
DOI10.1090/S0002-9947-2012-05652-2zbMath1282.35273OpenAlexW1989069576MaRDI QIDQ4913815
Matthias Geissert, Matthias Hieber, Karoline Disser
Publication date: 16 April 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05652-2
Non-Newtonian fluids (76A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (46)
On the motion of rigid bodies in viscoelastic fluids ⋮ Suitable weak solutions of the incompressible magnetohydrodynamic equations in time varying domains ⋮ 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 ⋮ Unnamed Item ⋮ A uniqueness result for 3D incompressible fluid-rigid body interaction problem ⋮ Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies ⋮ Motion of a rigid body in a compressible fluid with Navier-slip boundary condition ⋮ A fluid-structure model coupling the Navier-Stokes equations and the Lamé system ⋮ Motion of rigid bodies of arbitrary shape in a viscous incompressible fluid: wellposedness and large time behaviour ⋮ Fluid-Rigid Structure Interaction System with Coulomb's Law ⋮ Fluid-Rigid Body Interaction in an Incompressible Electrically Conducting Fluid ⋮ Large-time behavior of a rigid body of arbitrary shape in a viscous fluid under the action of prescribed forces and torques ⋮ Stability of time-dependent motions for fluid-rigid ball interaction ⋮ Fluid–rigid body interaction in a compressible electrically conducting fluid ⋮ Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition ⋮ Attractors for a fluid-structure interaction problem in a time-dependent phase space ⋮ Large time behaviour for the motion of a solid in a viscous incompressible fluid ⋮ A Maximal Regularity Approach to the Analysis of Some Particulate Flows ⋮ Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Strong solutions for the interaction of a rigid body and a viscoelastic fluid ⋮ Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition ⋮ Analysis of Viscous Fluid Flows: An Approach by Evolution Equations ⋮ Moving boundary problems ⋮ \(L^p\) theory for the interaction between the incompressible Navier-Stokes system and a damped plate ⋮ Uniqueness results for weak solutions of two-dimensional fluid-solid systems ⋮ Stabilization of a fluid-rigid body system ⋮ Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid ⋮ Small moving rigid body into a viscous incompressible fluid ⋮ On the motion of several disks in an unbounded viscous incompressible fluid ⋮ Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation ⋮ Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction ⋮ 𝐿^{𝑝}-𝐿^{𝑞} maximal regularity for some operators associated with linearized incompressible fluid-rigid body problems ⋮ Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Preface ⋮ Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers ⋮ Weak-strong uniqueness for the compressible fluid-rigid body interaction ⋮ Local existence of strong solutions and weak–strong uniqueness for the compressible Navier–Stokes system on moving domains ⋮ \(L^p\)-strong solution to fluid-rigid body interaction system with Navier slip boundary condition ⋮ Existence of weak solutions for a Bingham fluid-rigid body system ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory ⋮ Self-propelled motion of a rigid body inside a density dependent incompressible fluid ⋮ On the compressible micropolar fluids in a time-dependent domain ⋮ Maximal L p -regularity for a 2D Fluid-Solid Interaction Problem ⋮ On the dynamics of rigid bodies in an incompressible fluid ⋮ The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids ⋮ Bounded 𝐻^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong solutions for generalized Newtonian fluids
- The steady motion of a Navier-Stokes liquid around a rigid body
- An initial and boundary value problem modeling of fish-like swimming
- Non-homogeneous generalized Newtonian fluids
- Fluid dynamics of viscoelastic liquids
- Estimates for solutions of nonstationary Navier-Stokes equations
- 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
- \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
- 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
- On the strong solvability of the Navier-Stokes equations
- Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
- On the steady self-propelled motion of a body in a viscous incompressible fluid
- An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
- On a generalized resolvent estimate for the Stokes system with Robin boundary condition
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- On the motion of several rigid bodies in an incompressible non-Newtonian fluid
- Strong 𝐿^{𝑝}-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time dependent velocity
- Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid
- The steady state Navier–Stokes equations for incompressible flows with rotating boundaries
- Chute libre d’un solide dans un fluide visqueux incompressible. existence
- On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
- Existence of solutions for the equations
- On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
- ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
- ORIENTATION OF SYMMETRIC BODIES FALLING IN A SECOND-ORDER LIQUID AT NONZERO REYNOLDS NUMBER
- EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY
- $L_p$-Theory for a Class of Non-Newtonian Fluids
- Wellposedness for the Navier–Stokes flow in the exterior of a rotating obstacle
- Translational steady fall of symmetric bodies in a Navier-Stokes liquid, with application to particle sedimentation
- On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)
This page was built for publication: $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
