Daneri S (2014)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2014
Book Volume: 329
Pages Range: 745-786
Journal Issue: 2
DOI: 10.1007/s00220-014-1973-5
We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are continuous or Hölder continuous for any exponent θ 1/16. Using the techniques introduced in De Lellis and Székelyhidi (Inventiones Mathematicae 9:377-407, 2013; Dissipative Euler flows and Onsager's conjecture, 2012), we prove the existence of infinitely many (Hölder) continuous initial vector fields starting from which there exist infinitely many (Hölder) continuous solutions with preassigned total kinetic energy. © 2014 Springer-Verlag Berlin Heidelberg.
APA:
Daneri, S. (2014). Cauchy Problem for Dissipative Hölder Solutions to the Incompressible Euler Equations. Communications in Mathematical Physics, 329(2), 745-786. https://dx.doi.org/10.1007/s00220-014-1973-5
MLA:
Daneri, Sara. "Cauchy Problem for Dissipative Hölder Solutions to the Incompressible Euler Equations." Communications in Mathematical Physics 329.2 (2014): 745-786.
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