Dynamics Near The Subcritical Transition Of The 3d Couette Flow Ii Above Threshold Case

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Dynamics Near The Subcritical Transition Of The 3d Couette Flow Ii Above Threshold Case

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Author : Jacob Bedrossian
language : en
Publisher: American Mathematical Society
Release Date : 2022-08-31

Dynamics Near The Subcritical Transition Of The 3d Couette Flow Ii Above Threshold Case written by Jacob Bedrossian and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-31 with Mathematics categories.

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Dynamics Near The Subcritical Transition Of The 3d Couette Flow I Below Threshold Case

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Author : Jacob Bedrossian
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-28

Dynamics Near The Subcritical Transition Of The 3d Couette Flow I Below Threshold Case written by Jacob Bedrossian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Mathematics categories.

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.

Transition Threshold For The 3d Couette Flow In A Finite Channel

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Author : Qi Chen
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-15

Transition Threshold For The 3d Couette Flow In A Finite Channel written by Qi Chen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.

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The Mathematical Analysis Of The Incompressible Euler And Navier Stokes Equations

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Author : Jacob Bedrossian
language : en
Publisher: American Mathematical Society
Release Date : 2022-09-22

The Mathematical Analysis Of The Incompressible Euler And Navier Stokes Equations written by Jacob Bedrossian and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-22 with Mathematics categories.

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.

Dynamics Of The Box Ball System With Random Initial Conditions Via Pitman S Transformation

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Author : David A. Croydon
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-09

Dynamics Of The Box Ball System With Random Initial Conditions Via Pitman S Transformation written by David A. Croydon and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Mathematics categories.

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The Second Moment Theory Of Families Of L Functions The Case Of Twisted Hecke L Functions

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Author : Valentin Blomer
language : en
Publisher: American Mathematical Society
Release Date : 2023-02-13

The Second Moment Theory Of Families Of L Functions The Case Of Twisted Hecke L Functions written by Valentin Blomer and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Mathematics categories.

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Horocycle Dynamics New Invariants And Eigenform Loci In The Stratum Mathcal H 1 1

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Author : Matthew Bainbridge
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-10

Horocycle Dynamics New Invariants And Eigenform Loci In The Stratum Mathcal H 1 1 written by Matthew Bainbridge and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-10 with Mathematics categories.

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Hypergeometric Functions Over Finite Fields

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Author : Jenny Fuselier
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-10

Hypergeometric Functions Over Finite Fields written by Jenny Fuselier and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-10 with Mathematics categories.

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The Mathscr P Varphi 2 Model On De Sitter Space

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Author : João C. A. Barata
language : en
Publisher: American Mathematical Society
Release Date : 2023-01-18

The Mathscr P Varphi 2 Model On De Sitter Space written by João C. A. Barata and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-18 with Mathematics categories.

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Spectral Properties Of Ruelle Transfer Operators For Regular Gibbs Measures And Decay Of Correlations For Contact Anosov Flows

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Author : Luchezar Stoyanov
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-09

Spectral Properties Of Ruelle Transfer Operators For Regular Gibbs Measures And Decay Of Correlations For Contact Anosov Flows written by Luchezar Stoyanov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Mathematics categories.

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