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.
@incollection{JEDP_2018____A5_0,
author = {Miot, Evelyne},
title = {On some coupled {PDE-ODE} systems in fluid dynamics},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:5},
pages = {1--13},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2018},
doi = {10.5802/jedp.665},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/jedp.665/}
}
TY - JOUR AU - Miot, Evelyne TI - On some coupled PDE-ODE systems in fluid dynamics JO - Journées équations aux dérivées partielles N1 - talk:5 PY - 2018 SP - 1 EP - 13 PB - Groupement de recherche 2434 du CNRS UR - http://archive.numdam.org/articles/10.5802/jedp.665/ DO - 10.5802/jedp.665 LA - en ID - JEDP_2018____A5_0 ER -
%0 Journal Article %A Miot, Evelyne %T On some coupled PDE-ODE systems in fluid dynamics %J Journées équations aux dérivées partielles %Z talk:5 %D 2018 %P 1-13 %I Groupement de recherche 2434 du CNRS %U http://archive.numdam.org/articles/10.5802/jedp.665/ %R 10.5802/jedp.665 %G en %F JEDP_2018____A5_0
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://archive.numdam.org/articles/10.5802/jedp.665/
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