Mathematical analysis of the incompressible Euler and Navier-Stokes equations : an introduction
- xiii, 218 p, : ill. ; 27 cm.
- Graduate studies in mathematics ; 225 .
Includes bibliographical references (pages 199-216) and index.
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.
9781470471781
Fluid dynamics. Navier-Stokes equations. Partial differential equations Equations of mathematical physics and other areas of application -- Euler equations. Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics. Fluid mechanics -- Incompressible inviscid fluids. Hydrodynamic stability -- Parallel shear flows.