Moving boundary problems
From MaRDI portal
Publication:5146572
DOI10.1090/bull/1703zbMath1462.76038OpenAlexW3043951780MaRDI QIDQ5146572
Publication date: 26 January 2021
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/bull/1703
Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items
Well-posedness and dynamics of 2D Navier–Stokes equations with moving boundary ⋮ Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate ⋮ Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential in a curvilinear quadrant ⋮ Construction of a right inverse for the divergence in non-cylindrical time dependent domains ⋮ Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs ⋮ Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts ⋮ Unrestricted deformations of thin elastic structures interacting with fluids ⋮ Analysis of a fully discrete approximation to a moving-boundary problem describing rubber exposed to diffusants ⋮ On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data
Cites Work
- A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium
- Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition
- Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface
- 𝐿^{𝑝}-𝐿^{𝑞} maximal regularity for some operators associated with linearized incompressible fluid-rigid body problems
- Reflections on Dubinskiĭ’s nonlinear compact embedding theorem
- $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
- A modular, operator‐splitting scheme for fluid–structure interaction problems with thick structures
- Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction
- The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell
- On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
- Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow
- BIOFLUIDMECHANICS OF REPRODUCTION
- Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid
- Weak solutions for a fluid-elastic structure interaction model
- Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some variants of the classical Aubin-Lions lemma
- Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
- Existence of global strong solutions to a beam-fluid interaction system
- On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
- Well-posedness of a fractional porous medium equation on an evolving surface
- Inertial motions of a rigid body with a cavity filled with a viscous liquid
- The Navier-Stokes equations under a unilateral boundary condition of Signorini's type
- The motion of the rigid body in the viscous fluid including collisions. Global solvability result
- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- Continuous dependence on initial data in fluid-structure motions
- 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
- On some linear parabolic PDEs on moving hypersurfaces
- On the motion of rigid bodies in a viscous fluid.
- Extended ALE method for fluid-structure interaction problems with large structural displacements
- A partitioned scheme for fluid-composite structure interaction problems
- Solutions to a fluid-structure interaction free boundary problem
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- An adaptive, formally second order accurate version of the immersed boundary method
- The steady motion of a Navier-Stokes liquid around a rigid body
- Nonuniqueness of a solution to the problem on motion of a rigid body in a viscous incompressible fluid
- Strong solutions for a fluid structure interaction system
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
- Fluid-structure interaction and multi-body contact: application to aortic valves
- Compact sets in the space \(L^ p(0,T;B)\)
- A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
- Lagrangian-Eulerian finite element formulation for incompressible viscous flows
- Numerical analysis of blood flow in the heart
- 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 for a three-dimensional steady-state fluid-structure interaction problem
- Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid.
- On the motion of rigid bodies in a viscous compressible fluid
- On the existence of strong solutions to a coupled fluid-structure evolution problem
- Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application.
- Computational vascular fluid dynamics: problems, models and methods
- Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
- The gradient discretisation method
- A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures
- Strong solutions in \(L^2\) framework for fluid-rigid body interaction problem. Mixed case
- A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains
- Compressible fluids interacting with a linear-elastic shell
- Motion of an elastic solid inside an incompressible viscous fluid
- On the steady self-propelled motion of a body in a viscous incompressible fluid
- Analysis of a linear fluid-structure interaction problem
- Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis
- Longitudinal displacement in viscoelastic arteries: a novel fluid-structure interaction computational model, and experimental validation
- Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
- A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof
- A note on Aubin-Lions-Dubinskiĭ lemmas
- On multiple solutions to the steady flow of incompressible fluids subject to do-nothing or constant traction boundary conditions on artificial boundaries
- An abstract framework for parabolic PDEs on evolving spaces
- Existence of a solution to a fluid-multi-layered-structure interaction problem
- Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- 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
- Performance of algebraic multi-grid solvers based on unsmoothed and smoothed aggregation schemes
- Computation of the drag force on a sphere close to a wall
- Effective slip law for general viscous flows over an oscillating surface
- On well-posedness for a free boundary fluid-structure model
- Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
- Strong solutions for the fluid–solid systems in a 2-D domain
- Existence of Weak Solutions Up to Collision for Viscous Fluid-Solid Systems with Slip
- Mathematical and Numerical Analysis of Some FSI Problems
- A Stefan problem on an evolving surface
- Functional setting for unsteady problems in moving domains and applications
- Existence of Strong Solutions to a Fluid-Structure System
- Navier–Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell
- On the motion of several rigid bodies in an incompressible non-Newtonian fluid
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
- A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- 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
- The steady state Navier–Stokes equations for incompressible flows with rotating boundaries
- Motion of a rigid body in a viscous fluid
- 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
- On the Volume Conservation of the Immersed Boundary Method
- A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall
