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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 integration euler equations fluid mechanics onsager's conjecture partial differential equations turbulence |
| 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 C<super>1/5 - ε</super>. By slightly modifying the proof, we show that every smooth solution to incompressible Euler on (-2, 2)×T<super>3</super> coincides on (-1, 1)×T<super>3</super> with some Holder continuous solution that is constant outside (-3/2, 3/2)×T<super>3</super>. 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 | Size | Format | |
|---|---|---|---|---|
| Isett_princeton_0181D_10597.pdf | 982.34 kB | Adobe PDF | View/Download |
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