On some coupled PDE-ODE systems in fluid dynamics
Miot, Evelyne1
1 CNRS-Université Grenoble Alpes Institut Fourier UMR 5582 100, rue des mathématiques 38610 Gières France
Journées équations aux dérivées partielles (2018), Exposé no. 5, 13 p.

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.

Publié le :
DOI : 10.5802/jedp.665
Miot, Evelyne 1

1 CNRS-Université Grenoble Alpes Institut Fourier UMR 5582 100, rue des mathématiques 38610 Gières France 
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Miot, Evelyne. On some coupled PDE-ODE systems in fluid dynamics. Journées équations aux dérivées partielles (2018), Exposé no. 5, 13 p. doi : 10.5802/jedp.665. http://www.numdam.org/articles/10.5802/jedp.665/

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