Navier Stokes

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.

Authors: Łukaszewicz, Grzegorz, Kalita, Piotr
Aimed at a broad audience of readers interested in the Navier–Stokes equations, from students to engineers and professional mathematicians
Each self-contained chapter includes an array of exercises and a collection of lively figures to elucidate the text
Based on 15 years of lectures on infinite dimensional dynamical systems at the University of Warsaw, UNICAMP, and the Université Jean Monnet