Cauchy problem for dissipative H "older solutions to the incompressible\n Euler equations

2013/02/05 by Sara Daneri, Daneri, Sara · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1302.0988

openalex publication_date 2013/02/05 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We consider solutions to the Cauchy problem for the incompressible Euler\nequations on the 3-dimensional torus which are continuous or H "older\ncontinuous for any exponent \θ<\(1)/(16). Using the techniques\nintroduced in citeDS12 and citeDS12H, we prove the existence of\ninfinitely many (H "older) continuous initial vector fields starting from which\nthere exist infinitely many (H "older) continuous solutions with preassigned\ntotal kinetic energy.\n

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