Calculus of Variations and Geometric Measure Theory

Q. H. Nguyen - P. T. NGUYEN

Onsager's conjecture on the energy convervation for solutions of Euler's equation in bounded domains

created by nguyen on 08 May 2018
modified on 22 Jul 2018


Published Paper

Inserted: 8 may 2018
Last Updated: 22 jul 2018

Journal: Journal of Nonlinear Science.
Pages: 5
Year: 2018


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.

Keywords: Onsager's conjecture;energy conservation; Euler equation;