Dynamics Near The Subcritical Transition Of The 3d Couette Flow Ii Above Threshold Case PDF Download
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Author | : Jacob Bedrossian |
Publisher | : American Mathematical Society |
Total Pages | : 148 |
Release | : 2022-08-31 |
Genre | : Mathematics |
ISBN | : 1470472252 |
Download Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case Book in PDF, ePub and Kindle
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Author | : Jacob Bedrossian |
Publisher | : American Mathematical Soc. |
Total Pages | : 154 |
Release | : 2020-09-28 |
Genre | : Mathematics |
ISBN | : 1470442175 |
Download Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case Book in PDF, ePub and Kindle
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 | : Qi Chen |
Publisher | : American Mathematical Society |
Total Pages | : 190 |
Release | : 2024-05-15 |
Genre | : Mathematics |
ISBN | : 1470468956 |
Download Transition Threshold for the 3D Couette Flow in a Finite Channel Book in PDF, ePub and Kindle
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Author | : Jacob Bedrossian |
Publisher | : American Mathematical Society |
Total Pages | : 235 |
Release | : 2022-09-22 |
Genre | : Mathematics |
ISBN | : 1470471787 |
Download The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations Book in PDF, ePub and Kindle
The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces. Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover the fundamentals of the Navier-Stokes theory: derivation, special solutions, existence theory for strong solutions, Leray theory of weak solutions, weak-strong uniqueness, existence theory of mild solutions, and Prodi-Serrin regularity criteria. Chapter 6 provides a short guide to the must-read topics, including active research directions, for an advanced graduate student working in incompressible fluids. It may be used as a roadmap for a topics course in a subsequent semester. The appendix recalls basic results from real, harmonic, and functional analysis. Each chapter concludes with exercises, making the text suitable for a one-semester graduate course. Prerequisites to this book are the first two semesters of graduate-level analysis and PDE courses.
Author | : David A. Croydon |
Publisher | : American Mathematical Society |
Total Pages | : 114 |
Release | : 2023-03-09 |
Genre | : Mathematics |
ISBN | : 1470456338 |
Download Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation Book in PDF, ePub and Kindle
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Author | : Valentin Blomer |
Publisher | : American Mathematical Society |
Total Pages | : 160 |
Release | : 2023-02-13 |
Genre | : Mathematics |
ISBN | : 1470456788 |
Download The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions Book in PDF, ePub and Kindle
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Author | : Matthew Bainbridge |
Publisher | : American Mathematical Society |
Total Pages | : 112 |
Release | : 2022-11-10 |
Genre | : Mathematics |
ISBN | : 1470455390 |
Download Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ Book in PDF, ePub and Kindle
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Author | : Jenny Fuselier |
Publisher | : American Mathematical Society |
Total Pages | : 138 |
Release | : 2022-11-10 |
Genre | : Mathematics |
ISBN | : 1470454335 |
Download Hypergeometric Functions Over Finite Fields Book in PDF, ePub and Kindle
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Author | : João C. A. Barata |
Publisher | : American Mathematical Society |
Total Pages | : 282 |
Release | : 2023-01-18 |
Genre | : Mathematics |
ISBN | : 147045548X |
Download The $mathscr {P}(varphi )_2$ Model on de Sitter Space Book in PDF, ePub and Kindle
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Author | : Luchezar Stoyanov |
Publisher | : American Mathematical Society |
Total Pages | : 134 |
Release | : 2023-03-09 |
Genre | : Mathematics |
ISBN | : 1470456257 |
Download Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows Book in PDF, ePub and Kindle
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