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.
KeywordsOnsager’s conjecture Energy conservation Euler equation
Mathematics Subject Classification35Q31 76B03
The authors are grateful to Emil Wiedemann for helpful comments. We also would like to thank the anonymous referee for constructive comments which helped to improve the note remarkably.
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