Statistical solutions and Onsager's conjecture

Fjordholm US, Wiedemann E (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Physica D-Nonlinear Phenomena Elsevier

Book Volume: 376-377

Pages Range: 259-265

DOI: 10.1016/j.physd.2017.10.009

Abstract

We prove a version of Onsager's conjecture on the conservation of energy for the incompressible Euler equations in the context of statistical solutions, as introduced recently by Fjordholm et al. (2017). As a byproduct, we also obtain an alternative proof for the conservative direction of Onsager's conjecture for weak solutions, under a weaker Besov-type regularity assumption than previously known.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

University of Oslo NO Norway (NO) Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Fjordholm, U.S., & Wiedemann, E. (2018). Statistical solutions and Onsager's conjecture. Physica D-Nonlinear Phenomena, 376-377, 259-265. https://dx.doi.org/10.1016/j.physd.2017.10.009

MLA:

Fjordholm, U. S., and Emil Wiedemann. "Statistical solutions and Onsager's conjecture." Physica D-Nonlinear Phenomena 376-377 (2018): 259-265.

BibTeX: Download