Wiedemann E (2013)
Publication Type: Journal article
Publication year: 2013
Book Volume: 351
Pages Range: 907-910
Journal Issue: 23-24
DOI: 10.1016/j.crma.2013.10.021
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 and Székelyhidi. © 2013 Académie des sciences.
APA:
Wiedemann, E. (2013). Inviscid symmetry breaking with non-increasing energy. Comptes Rendus Mathematique, 351(23-24), 907-910. https://dx.doi.org/10.1016/j.crma.2013.10.021
MLA:
Wiedemann, Emil. "Inviscid symmetry breaking with non-increasing energy." Comptes Rendus Mathematique 351.23-24 (2013): 907-910.
BibTeX: Download