Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
From MaRDI portal
Publication:1347513
DOI10.1007/s002050100172zbMath1018.76012OpenAlexW1994913879MaRDI QIDQ1347513
Marius Tucsnak, Jorge Alonso San Martín, Victor Nikolayevich Starovoitov
Publication date: 9 September 2003
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002050100172
Navier-Stokes equationspenalizationcompactnessenergy estimateglobal existence of weak solutionscollisionsimmersed rigid bodiesNewton's lawsDi Perna-Lions theory
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Dynamics of a rigid body and of multibody systems (70E99)
Related Items
Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition, Approximation of rigid obstacle by highly viscous fluid, Global solutions to coupled (Navier-)Stokes Newton systems in R 3, On the motion of a large number of small rigid bodies in a viscous incompressible fluid, Attractors for a fluid-structure interaction problem in a time-dependent phase space, Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts, Analysis of compressible bubbly flows. Part I: construction of a microscopic model, Comparative analysis of obstacle approximation strategies for the steady incompressible Navier-Stokes equations, Improved boundary regularity for a Stokes-Lamé system, Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition, On the Navier-Stokes system with the Coulomb friction law boundary condition, Existence of global strong solutions to a beam-fluid interaction system, Convergence of the Lagrange--Galerkin method for a fluid--rigid system, On the motion of rigid bodies in viscoelastic fluids, Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder, Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp, Sedimentation of inertialess particles in Stokes flows, 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, Existence and uniqueness result for a fluid-structure-interaction evolution problem in an unbounded 2D channel, Blow up and grazing collision in viscous fluid solid interaction systems, Unnamed Item, A control theoretic approach to the swimming of microscopic organisms, Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions, Regularity issues in the problem of fluid-structure interaction, Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid, Linearized hydro-elasticity: a numerical study, Mathematical modeling of rigid bodies motion through some non-Newtonian flows, Existence of Weak Solutions Up to Collision for Viscous Fluid-Solid Systems with Slip, A uniqueness result for 3D incompressible fluid-rigid body interaction problem, Existence of weak solutions for a two-dimensional fluid-rigid body system, Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid, Feedback stabilization of a linear hydro-elastic system, On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid, Exact controllability of a fluid--rigid body system, Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction, Local null controllability of a rigid body moving into a Boussinesq flow, Mathematical and Numerical Analysis of Some FSI Problems, Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation, 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, Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case, Fluid-Rigid Structure Interaction System with Coulomb's Law, Fluid-Rigid Body Interaction in an Incompressible Electrically Conducting Fluid, Almost global practical exponential stabilisation of a floating rigid body, Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters, 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, Existence of strong solutions for the problem of a rigid-fluid system., Small data global existence for a fluid-structure model, Spectral analysis of a Stokes-type operator arising from flow around a rotating body, Conformal mapping for cavity inverse problem: an explicit reconstruction formula, Solvability of a nonstationary problem of a rigid body motion in the flow of a viscous incompressible fluid in a pipe of arbitrary cross-section, Strong solutions for the interaction of a rigid body and a viscoelastic fluid, Analyticity of the semigroup associated with the fluid-rigid body problem and local existence of strong solutions, On the ``viscous incompressible fluid + rigid body system with Navier conditions, Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition, Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid, On vector fields describing the 2d motion of a rigid body in a viscous fluid and applications, An initial and boundary value problem modeling of fish-like swimming, The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow, Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation, A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains, Nonuniqueness of a solution to the problem on motion of a rigid body in a viscous incompressible fluid, Solvability of the problem of the self-propelled motion of several rigid bodies in a viscous incompressible fluid, Moving boundary problems, Uniqueness results for weak solutions of two-dimensional fluid-solid systems, Stabilization of a fluid-rigid body system, Small moving rigid body into a viscous incompressible fluid, On the reconstruction of obstacles and of rigid bodies immersed in a viscous incompressible fluid, Steady fall of a solid in an incompressible viscous fluid along a ramp. II., $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids, On the free rotations of rigid bodies with a liquid-filled gap, A simple 1D model of inviscid fluid-solid interaction, Do Navier-Stokes Equations Enable to Predict Contact Between Immersed Solid Particles?, A Kato type theorem for the inviscid limit of the Navier-Stokes equations with a moving rigid body, Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow, Riemann problem for a particle–fluid coupling, On the motion of several disks in an unbounded viscous incompressible fluid, Inverse problem and null-controllability for parabolic systems, Two-dimensional local null controllability of a rigid structure in a Navier-Stokes fluid, The motion of a fluid--rigid disc system at the zero limit of the rigid disc radius, On an existence theory for a fluid-beam problem encompassing possible contacts, Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction, Eight(y) mathematical questions on fluids and structures, Local null controllability of a two-dimensional fluid-structure interaction problem, Numerical simulation of gluey particles, Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†, Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions, Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid, Embeddings for the space on sets of finite perimeter, Feedback stabilization of a simplified 1d fluid-particle system, Local null controllability of a fluid–rigid body interaction problem with Navier slip boundary conditions, A space-time adaptive algorithm to illustrate the lack of collision of a rigid disk falling in an incompressible fluid, Finite element approximations in a non-Lipschitz domain: Part II, Existence of weak solutions for a Bingham fluid-rigid body system, Smooth solutions for motion of a rigid body of general form in an incompressible perfect fluid, On the existence of strong solutions to a fluid structure interaction problem with Navier boundary conditions, A small solid body with large density in a planar fluid is negligible, Sharp trace regularity for an anisotropic elasticity system, A weighted \(L^q\)-approach to Stokes flow around a rotating body, A partitioned numerical scheme for fluid–structure interaction with slip, Self-propelled motion of a rigid body inside a density dependent incompressible fluid, Well-Posedness Analysis for a Linearization of a Fluid-Elasticity Interaction, On the small rigid body limit in 3D incompressible flows, Particle supported control of a fluid-particle system, On the dynamics of rigid bodies in an incompressible fluid, On a model for mixture flows: derivation, dissipation and stability properties
