onsager’s conjecture
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2021 ◽  
Vol 2021 ◽  
pp. 1-4
Author(s):  
Hui Zhang

In this paper, we prove the energy conservation for the weak solutions of the 3D tropical climate model under some sufficient conditions. Our results are similar to Onsager’s conjecture which is on energy conservation for weak solutions of Euler equations.


Author(s):  
C. Bardos ◽  
P. Gwiazda ◽  
A. Świerczewska-Gwiazda ◽  
E. S. Titi ◽  
E. Wiedemann

We show that weak solutions of general conservation laws in bounded domains conserve their generalized entropy, and other respective companion laws, if they possess a certain fractional differentiability of order one-third in the interior of the domain, and if the normal component of the corresponding fluxes tend to zero as one approaches the boundary. This extends various recent results of the authors.


2018 ◽  
Vol 29 (2) ◽  
pp. 501-510 ◽  
Author(s):  
Claude Bardos ◽  
Piotr Gwiazda ◽  
Agnieszka Świerczewska-Gwiazda ◽  
Edriss S. Titi ◽  
Emil Wiedemann

2018 ◽  
Vol 376-377 ◽  
pp. 259-265 ◽  
Author(s):  
U.S. Fjordholm ◽  
E. Wiedemann

2018 ◽  
Vol 72 (2) ◽  
pp. 229-274 ◽  
Author(s):  
Tristan Buckmaster ◽  
Camillo De Lellis ◽  
László Székelyhidi ◽  
Vlad Vicol

2018 ◽  
Vol 188 (3) ◽  
pp. 871 ◽  
Author(s):  
Philip Isett

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