Smooth solutions for the motion of a ball in an incompressible perfect fluid

DOI10.1016/j.jfa.2008.10.024zbMath1173.35105OpenAlexW2159138798MaRDI QIDQ1011441

Lionel Rosier, Carole Rosier

Publication date: 8 April 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.024

zbMATH Keywords

Euler equationsexterior domainclassical solutionsfluid-rigid body interaction

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Nonlinear evolution equations and the Euler flow
• On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• The existence and uniqueness of nonstationary ideal incompressible flow in exterior domains in \(R^ 3\)
• On the Euler equations of incompressible perfect fluids
• Remarks on the Euler equation
• On the controllability of 2-D incompressible perfect fluids
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
• On the detection of a moving obstacle in an ideal fluid by a boundary measurement
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