On some coupled PDE-ODE systems in fluid dynamics | Zendy

Évelyne Miot | Zendy

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On some coupled PDE-ODE systems in fluid dynamics

Author(s) -

Évelyne Miot

Publication year - 2019

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.665

Subject(s) - ode , uniqueness , dynamics (music) , fluid dynamics , mathematics , frame (networking) , flow (mathematics) , compressibility , calculus (dental) , mathematical analysis , computer science , physics , mechanics , geometry , acoustics , telecommunications , medicine , dentistry

In this note we will present some existence and uniqueness issues for three coupled PDE-ODE systems. The common frame is that they arise as the asymptotical dynamics of a regular, incompressible two-dimensional flow interacting with: • points at which the vorticity is highly concentrated (point vortices); • an obstacle shrinking to a steady point; • rigid bodies contracting to moving massive particles. We will mainly focus on the last situation, corresponding to the article [11], which is a joint work with Christophe Lacave.

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