Selected Works of Jindřich Nečas, 2015 PDEs, Continuum Mechanics and Regularity Advances in Mathematical Fluid Mechanics Series

The book collects the most significant contributions of the outstanding Czech mathematician Jind?ich Ne?as, who was honoured with the Order of Merit of the Czech Republic by President Václav Havel. Starting with Ne?as?s brief biography and short comments on his role in the beginnings of modern PDE research in Prague, the book then follows the periods of his research career. The first part is devoted to the linear theory of partial differential equations. Its topics include the variational approach to linear boundary value problems and the Rellich - Ne?as inequalities, together with their applications to boundary regularity. The second part is concerned with the regularity for nonlinear elliptic systems, which are related to Hilbert?s 19th and 20th problems. The third part focuses on Nonlinear Functional Analysis and its applications to non-linear PDEs, while the last part deals with topics in the mathematical theory of various models in Continuum Mechanics, including elasticity and plasticity, the Navier-Stokes equations, transonic flows, and multipolar fluids.

The editorial contributions were written by: I. Babuška, P. Ciarlet, P. Drábek, M. Feistauer, I. Hlavá?ek, J. Jarušek, O. John, J. Kristensen, A. Kufner, J. Málek, G. Mingione, Š. Ne?asová, M. Pokorný, P. Quittner, T. Roubí?ek, G. Seregin and J. Stará.

First time that J. Necas’ important results have been collected in one publication

Some of the articles are not anymore available elsewhere

The theory of the PDEs of continuum mechanics is perhaps even more popular today than it was when Necas’s seminal contributions to this area were written