Classical solutions for the equations modelling the motion of
a ball in a bidimensional incompressible perfect fluid

Jaime H. Ortega; Lionel Rosier; Takéo Takahashi

Displaying similar documents to “Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid”

Unique continuation property near a corner and its fluid-structure controllability consequences

Axel Osses, Jean-Pierre Puel (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We study a non standard unique continuation property for the biharmonic spectral problem $Δ^{2} w = - λ Δ w$ in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle $0 < θ_{0} < 2 π$ , $θ_{0} \neq π$ and $θ_{0} \neq 3 π / 2$ , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain...

Impact of the variations of the mixing length in a first order turbulent closure system

Françoise Brossier, Roger Lewandowski (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper is devoted to the study of a turbulent circulation model. Equations are derived from the “Navier-Stokes turbulent kinetic energy” system. Some simplifications are performed but attention is focused on non linearities linked to turbulent eddy viscosity $ν_{t}$ . The mixing length $ℓ$ acts as a parameter which controls the turbulent part in $ν_{t}$ . The main theoretical results that we have obtained concern the uniqueness of the solution for bounded eddy viscosities and small values of $ℓ$ ...

Characterization of the limit load in the case of an unbounded elastic convex

Adnene Elyacoubi, Taieb Hadhri (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work we consider a solid body $Ω \subset ℝ^{3}$ constituted by a nonhomogeneous elastoplastic material, submitted to a density of body forces $λ f$ and a density of forces $λ g$ acting on the boundary where the real $λ$ is the loading parameter. The problem is to determine, in the case of an unbounded convex of elasticity, the Limit load denoted by $\bar{λ}$ beyond which there is a break of the structure. The case of a bounded convex of elasticity is done in [El-Fekih and Hadhri, (1995) 391–419]. Then assuming...