Introduction to Vortex Filaments in Equilibrium - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Vortex Filaments in Equilibrium write by Timothy D. Andersen. This book was released on 2014-10-09. Introduction to Vortex Filaments in Equilibrium available in PDF, EPUB and Kindle. This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.
The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations
The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations write by Jacob Bedrossian. This book was released on 2022-09-22. The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations available 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.
Vorticity and Turbulence
Vorticity and Turbulence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vorticity and Turbulence write by Alexandre J. Chorin. This book was released on 2013-12-01. Vorticity and Turbulence available in PDF, EPUB and Kindle. This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.
Theory of Concentrated Vortices
Theory of Concentrated Vortices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Concentrated Vortices write by S. V. Alekseenko. This book was released on 2007-08-29. Theory of Concentrated Vortices available in PDF, EPUB and Kindle. This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.
旋度与湍流(天元基金影印系列丛书)
旋度与湍流(天元基金影印系列丛书) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 旋度与湍流(天元基金影印系列丛书) write by 肖兰. This book was released on 2005. 旋度与湍流(天元基金影印系列丛书) available in PDF, EPUB and Kindle.
