Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case PDF full book. Access full book title Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case by Jacob Bedrossian. Download full books in PDF and EPUB format.
Author: Jacob Bedrossian
Publisher: American Mathematical Society
ISBN: 1470472252
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
View the abstract.
Author: Jacob Bedrossian
Publisher: American Mathematical Society
ISBN: 1470472252
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
View the abstract.
Author: Jacob Bedrossian
Publisher: American Mathematical Soc.
ISBN: 1470442175
Category : Mathematics
Languages : en
Pages : 170
Get Book Here
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: Qi Chen
Publisher: American Mathematical Society
ISBN: 1470468956
Category : Mathematics
Languages : en
Pages : 190
Get Book Here
Book Description
View the abstract.
Author: Jacob Bedrossian
Publisher: American Mathematical Society
ISBN: 1470471787
Category : Mathematics
Languages : en
Pages : 235
Get Book Here
Book Description
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
ISBN: 1470456338
Category : Mathematics
Languages : en
Pages : 114
Get Book Here
Book Description
View the abstract.
Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160
Get Book Here
Book Description
View the abstract.
Author: Matthew Bainbridge
Publisher: American Mathematical Society
ISBN: 1470455390
Category : Mathematics
Languages : en
Pages : 112
Get Book Here
Book Description
View the abstract.
Author: Jenny Fuselier
Publisher: American Mathematical Society
ISBN: 1470454335
Category : Mathematics
Languages : en
Pages : 138
Get Book Here
Book Description
View the abstract.
Author: João C. A. Barata
Publisher: American Mathematical Society
ISBN: 147045548X
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
View the abstract.
Author: Luchezar Stoyanov
Publisher: American Mathematical Society
ISBN: 1470456257
Category : Mathematics
Languages : en
Pages : 134
Get Book Here
Book Description
View the abstract.
