Transition Threshold for the 3D Couette Flow in a Finite Channel PDF Download
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Author: Qi Chen
Publisher: American Mathematical Society
ISBN: 1470468956
Category : Mathematics
Languages : en
Pages : 190
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Author: Qi Chen
Publisher: American Mathematical Society
ISBN: 1470468956
Category : Mathematics
Languages : en
Pages : 190
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Author: Jacob Bedrossian
Publisher: American Mathematical Soc.
ISBN: 1470442175
Category : Mathematics
Languages : en
Pages : 154
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Book Description
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
ISBN: 1470468948
Category : Mathematics
Languages : en
Pages : 122
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Author: David Burns
Publisher: American Mathematical Society
ISBN: 1470469669
Category : Mathematics
Languages : en
Pages : 168
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Author: M. Gekhtman
Publisher: American Mathematical Society
ISBN: 1470469707
Category : Mathematics
Languages : en
Pages : 116
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Author: Masao Oi
Publisher: American Mathematical Society
ISBN: 1470469561
Category : Mathematics
Languages : en
Pages : 174
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Author: David Ayala
Publisher: American Mathematical Society
ISBN: 1470469626
Category : Mathematics
Languages : en
Pages : 272
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Author: John Bergdall
Publisher: American Mathematical Society
ISBN: 1470470314
Category : Mathematics
Languages : en
Pages : 138
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Author: Javier Fernández de Bobadilla
Publisher: American Mathematical Society
ISBN: 1470470535
Category : Mathematics
Languages : en
Pages : 110
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Author: Jack Kelly
Publisher: American Mathematical Society
ISBN: 1470470411
Category : Mathematics
Languages : en
Pages : 172
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