Bedrossian, Jacob,

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.