Geodesic
Singularity formation in the incompressible Euler equation in finite and infinite time
Theodore D. Drivas1 ; Tarek M. Elgindi2
1Institute for Advanced Study, Princeton, USA; SUNY Stony Brook
2Duke University, Durham, USA
EMS surveys in mathematical sciences, Tome 10 (2023) no. 1, pp. 1-100

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DOI

Some classical and recent results on the Euler equations governing perfect (incompressible and inviscid) fluid motion are collected and reviewed, with some small novelties scattered throughout. The perspective and emphasis will be given through the lens of infinite-dimensional dynamical systems, and various open problems are listed and discussed.
DOI : 10.4171/emss/66
Classification : 35-XX
Mots-clés : incompressible Euler equations, infinite-dimensional dynamical systems, singularity formation

Theodore D. Drivas  1   ; Tarek M. Elgindi  2

1 Institute for Advanced Study, Princeton, USA; SUNY Stony Brook
2 Duke University, Durham, USA 
Theodore D. Drivas; Tarek M. Elgindi. Singularity formation in the incompressible Euler equation in finite and infinite time. EMS surveys in mathematical sciences, Tome 10 (2023) no. 1, pp. 1-100. doi: 10.4171/emss/66
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