TY - BOOK AU - Bedrossian,Jacob AU - Vicol,Vlad TI - Mathematical analysis of the incompressible Euler and Navier-Stokes equations: an introduction T2 - Graduate studies in mathematics SN - 9781470471781 PY - 2022/// CY - Providence PB - American Mathematical Society KW - Fluid dynamics KW - Navier-Stokes equations KW - Partial differential equations KW - Equations of mathematical physics and other areas of application -- Euler equations KW - msc KW - Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics KW - Fluid mechanics -- Incompressible inviscid fluids KW - Hydrodynamic stability -- Parallel shear flows N1 - Includes bibliographical references (pages 199-216) and index N2 - 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 ER -