Skip navigation
Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01jq085k04v
 Title: Hölder Continuous Euler Flows with Compact Support in Time Authors: Isett, Philip James Advisors: Klainerman, Sergiu Contributors: Mathematics Department Keywords: convex integrationeuler equationsfluid mechanicsonsager's conjecturepartial differential equationsturbulence Subjects: Mathematics Issue Date: 2013 Publisher: Princeton, NJ : Princeton University Abstract: Building on the recent work of C. De Lellis and L. Szekelyhidi, we construct global weak solutions to the three-dimensional incompressible Euler equations which are zero outside of a finite time interval and have velocity in the Holder class C1/5 - ε. By slightly modifying the proof, we show that every smooth solution to incompressible Euler on (-2, 2)×T3 coincides on (-1, 1)×T3 with some Holder continuous solution that is constant outside (-3/2, 3/2)×T3. We also propose a conjecture related to our main result that would imply Onsager's conjecture that there exist energy dissipating solutions to Euler whose velocity fields have Holder exponent 1/3 - ε. URI: http://arks.princeton.edu/ark:/88435/dsp01jq085k04v Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog Type of Material: Academic dissertations (Ph.D.) Language: en Appears in Collections: Mathematics

Files in This Item:
File Description SizeFormat
Isett_princeton_0181D_10597.pdf982.34 kBAdobe PDF

Items in Dataspace are protected by copyright, with all rights reserved, unless otherwise indicated.