Transition Threshold for the 3D Couette Flow in a Finite Channel
Author | : Qi Chen |
Publisher | : American Mathematical Society |
Total Pages | : 190 |
Release | : 2024-05-15 |
Genre | : Mathematics |
ISBN | : 1470468956 |
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Author | : Qi Chen |
Publisher | : American Mathematical Society |
Total Pages | : 190 |
Release | : 2024-05-15 |
Genre | : Mathematics |
ISBN | : 1470468956 |
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Author | : Jacob Bedrossian |
Publisher | : American Mathematical Soc. |
Total Pages | : 154 |
Release | : 2020-09-28 |
Genre | : Mathematics |
ISBN | : 1470442175 |
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 | : Jacob Bedrossian |
Publisher | : American Mathematical Society |
Total Pages | : 148 |
Release | : 2022-08-31 |
Genre | : Mathematics |
ISBN | : 1470472252 |
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Author | : Brandon Doherty |
Publisher | : American Mathematical Society |
Total Pages | : 122 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470468948 |
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Author | : David Burns |
Publisher | : American Mathematical Society |
Total Pages | : 168 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469669 |
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Author | : M. Gekhtman |
Publisher | : American Mathematical Society |
Total Pages | : 116 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469707 |
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Author | : Masao Oi |
Publisher | : American Mathematical Society |
Total Pages | : 174 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469561 |
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Author | : David Ayala |
Publisher | : American Mathematical Society |
Total Pages | : 272 |
Release | : 2024-06-07 |
Genre | : Mathematics |
ISBN | : 1470469626 |
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Author | : John Bergdall |
Publisher | : American Mathematical Society |
Total Pages | : 138 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470314 |
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Author | : Javier Fernández de Bobadilla |
Publisher | : American Mathematical Society |
Total Pages | : 110 |
Release | : 2024-07-25 |
Genre | : Mathematics |
ISBN | : 1470470535 |
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