Inviscid symmetry breaking with non-increasing energy

Wiedemann E (2013)

Publication Type: Journal article

Publication year: 2013

Journal

Comptes Rendus Mathematique Elsevier Masson

Book Volume: 351

Pages Range: 907-910

Journal Issue: 23-24

DOI: 10.1016/j.crma.2013.10.021

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 and Székelyhidi. © 2013 Académie des sciences.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

University of British Columbia CA Canada (CA)

How to cite

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.

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