Onsager’s Conjecture on the Energy Conservation for Solutions of Euler Equations in Bounded Domains

The Onsager’s conjecture has two parts: conservation of energy, if the exponent is larger than 1 / 3, and the possibility of dissipative Euler solutions, if the exponent is less than or equal to 1 / 3. The paper proves half of the conjecture, the conservation part, in bounded domains.

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Bibliographic Details
Published in:Journal of nonlinear science 2019-02, Vol.29 (1), p.207-213
Main Authors: Nguyen, Quoc-Hung, Nguyen, Phuoc-Tai
Format: Article
Language:English
Subjects:
Analysis
Classical Mechanics
Domains
Economic Theory/Quantitative Economics/Mathematical Methods
Energy conservation
Euler-Lagrange equation
Eulers equations
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Description
Summary:The Onsager’s conjecture has two parts: conservation of energy, if the exponent is larger than 1 / 3, and the possibility of dissipative Euler solutions, if the exponent is less than or equal to 1 / 3. The paper proves half of the conjecture, the conservation part, in bounded domains.
ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-018-9483-9