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 WebIn 1949, a Nobelist Lars Onsager considered liquid flows with velocities changing as rα for spatial points at distance r, and conjectured that the threshold value α = 1/3 separates …

[1706.01549] On the Endpoint Regularity in Onsager

Web3 de abr. de 2013 · Onsager's conjecture almost everywhere in time. In recent work by Isett ( arXiv:1211.4065 ), and later by Buckmaster, De Lellis, Isett and Székelyhidi Jr. ( … WebOnsager's conjecture can be appreciated in the context of Kolmogorov's theory of turbulence. This was also the motivation of Onsager. Kolmogorov predicts that in a fully … simple diy patio shade ideas

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WebWe prove that given any β<1/3, a time interval [0,T], and given any smooth energy profile e:[0,T]→(0,∞), there exists a weak solution v of the three-dimensional Euler equations such that v∈Cβ([0,T]×T3), with e(t)=∫T3 v(x,t) 2dx for all t∈[0,T]. Moreover, we show that a suitable h-principle holds in the regularity class Cβt,x, for any β<1/3. The implication of this is that … Web30 de jan. de 2024 · Onsager's conjecture for admissible weak solutions. Tristan Buckmaster, Camillo De Lellis, László Székelyhidi Jr., Vlad Vicol. We prove that given … WebThe Nash{Kuiper Theorem and the Onsager Conjecture. Seismic Imaging and Optimal Transport. Plenary Lectures. Heterogeneously Localized Nonlocal Operators, Boundary Traces and Variational Problems. Deformations and Rigidity of Local Systems. On the Cocenters of p-adic Groups. simple diy landscaping ideas for front yard