Stochastic Partial Differential Equations in Fluid Mechanics

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【簡介】 This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid. 【目錄】

Young, Munson and Okiishi`s A Brief Introduction to Fluid Mechanics 6/e IA (6版)

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●Offers a strong visual approach with photos, illustrations, and videos included in the text, and examples to emphasize the practical application of fluid mechanics principles. ●Contains numerous video segments that illustrate many interesting and practical applications of real-world fluid phenomena. ●Contains approximately 60 short "The Wide World of Fluids" stories that reflect some important and novel ways that fluid mechanics affects our lives 目錄 1 Introduction 2 Fluid Statics 3 Fluid Kinematics 4 Elementary Fluid Dynamics—The Bernoulli Equation 5 Finite Control Volume Analysis 6 Differential Analysis of Fluid Flow 7 Dimensional Analysis, Similitude, and Modeling 8 Viscous Flow in Pipes 9 Flow over Immersed Bodies 10 Open-Channel Flow 11 Turbomachines APPENDIX A Computational Fluid Dynamics APPENDIX B Physical Properties of Fluids APPENDIX C Properties of the U.S. Standard Atmosphere APPENDIX D Compressible Flow Functions for an Ideal Gas with k=1.4 APPENDIX E Comprehensive Table of Conversion Factors