Web24 de abr. de 2008 · Energy conservation and Onsager's conjecture for the Euler equations. A Cheskidov 1, P Constantin 1, S Friedlander 2 and R Shvydkoy 2. Published 24 April 2008 • 2008 IOP Publishing Ltd and London Mathematical Society Nonlinearity, Volume 21, Number 6 Citation A Cheskidov et al 2008 Nonlinearity 21 1233 DOI … WebA folklore conjecture is that uniqueness should fail when v∈ C1 is replaced by v∈ CtCα x for some α<1. Regarding the conservation of energy, one has the following conjecture, …

Energy conservation and Onsager

WebOnsager's Conjecture for Subgrid Scale $α$-Models of Turbulence. DW Boutros, ES Titi – Physica D Nonlinear Phenomena (2024) 443, 133553 (DOI: 10.1016/j.physd.2024.133553) On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture. DW Boutros, S Markfelder, ES Titi WebThese notes are based on a series of lectures given at the meeting Journées EDP in Roscoff in June 2015 on recent developments concerning weak solutions of the Euler equations and in particular recent progress concerning the construction of Hölder continuous weak solutions and Onsager’s conjecture. the boss baby 4

The energy measure for the Euler equations: The endpoint case

Weband [Kui55]) they proposed to approach the remaining statement of the Onsager’s conjecture in a. similar way (cf. [DLS12]). Indeed in [DLS13] and [DLS14] they were able to giv e the first examples. WebOnsager's Conjecture for Subgrid Scale $α$-Models of Turbulence. DW Boutros, ES Titi – Physica D Nonlinear Phenomena (2024) 443, 133553 (DOI: … Webpart (b) of Onsager’s conjecture is that in a dissipative solution the active modes, among which the energy transfer takes place, should be (at most) exponentially distributed. In-deed, Onsager explicitly states in [26] (cp. also [18]) that this should be the case. For the scheme (1.6) in this paper the interpretation is that the boss baby 3/10