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Mathematical Analysis of Euler and Navier-Stokes Equations

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Description

This textbook provides a focused introduction to the mathematical analysis of incompressible Euler and Navier-Stokes equations. Designed for beginning graduate students who have completed two semesters of graduate-level analysis and PDE courses, it offers a clear entry point into the subject. The book presents fundamental results in well-posedness theory while omitting certain technical challenges related to bounded domains or complex functional spaces to maintain a concise approach. Readers will explore the Euler theory through its derivation, Eulerian and Lagrangian perspectives, and the study of vorticity. This volume is an essential resource for those seeking a foundational understanding of these specific partial differential equations within the Graduate Studies in Mathematics series.

Key Features

Provides a first exposure to the mathematical analysis of incompressible Euler and Navier-Stokes equations for graduate students.

Focuses on fundamental results in the well-posedness theory of these partial differential equations.

Covers the derivation and Eulerian and Lagrangian perspectives of Euler theory in the early chapters.

Includes study of vorticity and the foundations of Euler theory within the first two chapters.

Part of the Graduate Studies in Mathematics series published by the American Mathematical Society.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 December 2022
Listed Since
09 September 2022

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