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| Author | : Qi Chen |
| Publisher | : American Mathematical Society |
| Total Pages | : 190 |
| Release | : 2024-05-15 |
| ISBN-10 | : 9781470468958 |
| ISBN-13 | : 1470468956 |
| Rating | : 4/5 (58 Downloads) |
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| Author | : Jacob Bedrossian |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 154 |
| Release | : 2020-09-28 |
| ISBN-10 | : 9781470442170 |
| ISBN-13 | : 1470442175 |
| Rating | : 4/5 (70 Downloads) |
The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $epsilon leq c_0mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t rightarrow infty $. For times $t gtrsim mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of ``2.5 dimensional'' streamwise-independent solutions referred to as streaks.
| Author | : Brandon Doherty |
| Publisher | : American Mathematical Society |
| Total Pages | : 122 |
| Release | : 2024-06-07 |
| ISBN-10 | : 9781470468941 |
| ISBN-13 | : 1470468948 |
| Rating | : 4/5 (41 Downloads) |
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| Author | : David Burns |
| Publisher | : American Mathematical Society |
| Total Pages | : 168 |
| Release | : 2024-06-07 |
| ISBN-10 | : 9781470469665 |
| ISBN-13 | : 1470469669 |
| Rating | : 4/5 (65 Downloads) |
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| Author | : M. Gekhtman |
| Publisher | : American Mathematical Society |
| Total Pages | : 116 |
| Release | : 2024-06-07 |
| ISBN-10 | : 9781470469702 |
| ISBN-13 | : 1470469707 |
| Rating | : 4/5 (02 Downloads) |
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| Author | : Masao Oi |
| Publisher | : American Mathematical Society |
| Total Pages | : 174 |
| Release | : 2024-06-07 |
| ISBN-10 | : 9781470469566 |
| ISBN-13 | : 1470469561 |
| Rating | : 4/5 (66 Downloads) |
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| Author | : David Ayala |
| Publisher | : American Mathematical Society |
| Total Pages | : 272 |
| Release | : 2024-06-07 |
| ISBN-10 | : 9781470469627 |
| ISBN-13 | : 1470469626 |
| Rating | : 4/5 (27 Downloads) |
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| Author | : John Bergdall |
| Publisher | : American Mathematical Society |
| Total Pages | : 138 |
| Release | : 2024-07-25 |
| ISBN-10 | : 9781470470319 |
| ISBN-13 | : 1470470314 |
| Rating | : 4/5 (19 Downloads) |
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| Author | : Javier Fernández de Bobadilla |
| Publisher | : American Mathematical Society |
| Total Pages | : 110 |
| Release | : 2024-07-25 |
| ISBN-10 | : 9781470470531 |
| ISBN-13 | : 1470470535 |
| Rating | : 4/5 (31 Downloads) |
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| Author | : Jack Kelly |
| Publisher | : American Mathematical Society |
| Total Pages | : 172 |
| Release | : 2024-07-25 |
| ISBN-10 | : 9781470470418 |
| ISBN-13 | : 1470470411 |
| Rating | : 4/5 (18 Downloads) |
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