Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
| Title | Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case PDF eBook |
| Author | Jacob Bedrossian |
| Publisher | American Mathematical Society |
| Pages | 148 |
| Release | 2022-08-31 |
| Genre | Mathematics |
| ISBN | 1470472252 |
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Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
| Title | Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case PDF eBook |
| Author | Jacob Bedrossian |
| Publisher | American Mathematical Soc. |
| 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.
Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
| Title | Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation PDF eBook |
| Author | David A. Croydon |
| Publisher | American Mathematical Society |
| Pages | 114 |
| Release | 2023-03-09 |
| Genre | Mathematics |
| ISBN | 1470456338 |
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The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions
| Title | The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions PDF eBook |
| Author | Valentin Blomer |
| Publisher | American Mathematical Society |
| Pages | 160 |
| Release | 2023-02-13 |
| Genre | Mathematics |
| ISBN | 1470456788 |
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Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$
| Title | Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ PDF eBook |
| Author | Matthew Bainbridge |
| Publisher | American Mathematical Society |
| Pages | 112 |
| Release | 2022-11-10 |
| Genre | Mathematics |
| ISBN | 1470455390 |
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Hypergeometric Functions Over Finite Fields
| Title | Hypergeometric Functions Over Finite Fields PDF eBook |
| Author | Jenny Fuselier |
| Publisher | American Mathematical Society |
| Pages | 138 |
| Release | 2022-11-10 |
| Genre | Mathematics |
| ISBN | 1470454335 |
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The $mathscr {P}(varphi )_2$ Model on de Sitter Space
| Title | The $mathscr {P}(varphi )_2$ Model on de Sitter Space PDF eBook |
| Author | João C. A. Barata |
| Publisher | American Mathematical Society |
| Pages | 282 |
| Release | 2023-01-18 |
| Genre | Mathematics |
| ISBN | 147045548X |
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