Schiffer-type problems and nonradial stationary Euler flows with compact support
[Problèmes de type Schiffer et écoulements d’Euler stationnaires non radiaux à support compact]
Alberto Enciso1
1 Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 MADRID SPAIN
Journées équations aux dérivées partielles (2024), Exposé no. 4, 10 p.

Nous passons en revue quelques résultats récents sur l’existence d’écoulements d’Euler stationnaires non radiaux à support compact dans le plan. L’approche que nous adoptons repose sur un problème elliptique surdéterminé, inspiré par la conjecture de Schiffer en géométrie spectrale.

We review some recent results on the existence of nonradial stationary planar Euler flows with compact support. The approach we take relies on an elliptic overdetermined problem motivated by Schiffer’s conjecture in spectral geometry.

Publié le :
DOI : 10.5802/jedp.685
Classification : 35N25, 35Q31, 35B32
Keywords: Eigenvalue problems, radial symmetry, Euler equations
Mot clés : Problèmes aux valeurs propres, symétrie radiale, équations d’Euler
Alberto Enciso 1

1 Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 MADRID SPAIN 
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Alberto Enciso. Schiffer-type problems and nonradial stationary Euler flows with compact support. Journées équations aux dérivées partielles (2024), Exposé no. 4, 10 p. doi : 10.5802/jedp.685. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.685/

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