{"title":"Jacob Bedrossian","description":null,"products":[{"product_id":"mathematical-analysis-of-the-incompressible-euler-and-navier-stokes-equations-book-jacob-bedrossian-9781470471781","title":"The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations","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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49745313595665,"sku":"NGR9781470471781","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470471787.jpg?v=1757414354"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-jacob-bedrossian.oembed","provider":"World of Books ","version":"1.0","type":"link"}