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- W4300292024 abstract "In a recent article, C. Bardos et. al. constructed weak solutions of the three-dimensional incompressible Euler equations which emerge from two-dimensional initial data yet become fully three-dimensional at positive times. They asked whether such symmetry-breaking solutions could also be constructed under the additional condition that they should have non-increasing energy. In this note, we give a positive answer to this question and show that such a construction is possible for a large class of initial data. We use convex integration techniques as developed by De Lellis-Sz'ekelyhidi." @default.
- W4300292024 created "2022-10-03" @default.
- W4300292024 creator A5003850935 @default.
- W4300292024 date "2013-10-22" @default.
- W4300292024 modified "2023-10-16" @default.
- W4300292024 title "Inviscid symmetry breaking with non-increasing energy" @default.
- W4300292024 doi "https://doi.org/10.48550/arxiv.1310.5925" @default.
- W4300292024 hasPublicationYear "2013" @default.
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