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Dynamics Near The Subcritical Transition Of The 3d Couette Flow Ii Above Threshold Case
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Book Synopsis Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case by : Jacob Bedrossian
Download or read book Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case written by Jacob Bedrossian and published by American Mathematical Society. This book was released on 2022-08-31 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case by : Jacob Bedrossian
Download or read book Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case written by Jacob Bedrossian and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transition Threshold for the 3D Couette Flow in a Finite Channel by : Qi Chen
Download or read book Transition Threshold for the 3D Couette Flow in a Finite Channel written by Qi Chen and published by American Mathematical Society. This book was released on 2024-05-15 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations by : Jacob Bedrossian
Download or read book The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations written by Jacob Bedrossian and published by American Mathematical Society. This book was released on 2022-09-22 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation by : David A. Croydon
Download or read book Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation written by David A. Croydon and published by American Mathematical Society. This book was released on 2023-03-09 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions by : Valentin Blomer
Download or read book The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions written by Valentin Blomer and published by American Mathematical Society. This book was released on 2023-02-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ by : Matthew Bainbridge
Download or read book Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ written by Matthew Bainbridge and published by American Mathematical Society. This book was released on 2022-11-10 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Hypergeometric Functions Over Finite Fields by : Jenny Fuselier
Download or read book Hypergeometric Functions Over Finite Fields written by Jenny Fuselier and published by American Mathematical Society. This book was released on 2022-11-10 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The $mathscr {P}(varphi )_2$ Model on de Sitter Space by : João C. A. Barata
Download or read book The $mathscr {P}(varphi )_2$ Model on de Sitter Space written by João C. A. Barata and published by American Mathematical Society. This book was released on 2023-01-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows by : Luchezar Stoyanov
Download or read book Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows written by Luchezar Stoyanov and published by American Mathematical Society. This book was released on 2023-03-09 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Categories and Representation Theory by : Hideto Asashiba
Download or read book Categories and Representation Theory written by Hideto Asashiba and published by American Mathematical Society. This book was released on 2022-09-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.
Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques
Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The Regularity of the Linear Drift in Negatively Curved Spaces by : François Ledrappier
Download or read book The Regularity of the Linear Drift in Negatively Curved Spaces written by François Ledrappier and published by American Mathematical Society. This book was released on 2023-01-18 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations by : Henri Berestycki
Download or read book Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations written by Henri Berestycki and published by American Mathematical Society. This book was released on 2022-11-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author :Sebastian Casalaina-Martin Publisher :American Mathematical Society ISBN 13 :1470460203 Total Pages :112 pages Book Rating :4.4/5 (74 download)
Book Synopsis Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models by : Sebastian Casalaina-Martin
Download or read book Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models written by Sebastian Casalaina-Martin and published by American Mathematical Society. This book was released on 2023-02-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals by : Guozhen Lu
Download or read book Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals written by Guozhen Lu and published by American Mathematical Society. This book was released on 2023-01-18 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Twenty-Four Hours of Local Cohomology by : Srikanth B. Iyengar
Download or read book Twenty-Four Hours of Local Cohomology written by Srikanth B. Iyengar and published by American Mathematical Society. This book was released on 2022-07-19 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
