The motion of a fluid--rigid disc system at the zero limit of the rigid disc radius

DOI10.1007/s00205-011-0401-7zbMath1294.76082arXiv1102.3072OpenAlexW3103512183MaRDI QIDQ717468

Masoumeh Dashti, James C. Robinson

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3072

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35)

Related Items

Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies ⋮ Asymptotic profile for the interaction of a rigid ball and an incompressible viscous fluid ⋮ Stability of time-dependent motions for fluid-rigid ball interaction ⋮ On the motion of a small rigid body in a viscous compressible fluid ⋮ On the motion of a large number of small rigid bodies in a viscous incompressible fluid ⋮ Large time behaviour for the motion of a solid in a viscous incompressible fluid ⋮ Analyticity of the semigroup associated with the fluid-rigid body problem and local existence of strong solutions ⋮ The motion of a fluid-rigid ball system at the zero limit of the rigid ball radius ⋮ Uniqueness results for weak solutions of two-dimensional fluid-solid systems ⋮ Small moving rigid body into a viscous incompressible fluid ⋮ On the motion of a small body immersed in a two-dimensional incompressible perfect fluid ⋮ Limits of the Stokes and Navier–Stokes equations in a punctured periodic domain ⋮ Smooth solutions for motion of a rigid body of general form in an incompressible perfect fluid ⋮ On the small rigid body limit in 3D incompressible flows ⋮ Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity

Cites Work

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• Two-dimensional incompressible viscous flow around a small obstacle
• Chute libre d’un solide dans un fluide visqueux incompressible. existence
• Weakly Differentiable Functions
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• Existence for an Unsteady Fluid-Structure Interaction Problem
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• A coupled particle-continuum model: well-posedness and the limit of zero radius
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