Selected Works of JindYich Neas: PDEs, Continuum Mechanics and Regularity [Hardcover]

The book collects the most significant contributions of the outstanding Czech mathematician JindYich Ne1as, who was honoured with the Order of Merit of the Czech Republic by President V?clav Havel. Starting with Ne1ass 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 - Ne1as inequalities, together with their applications to boundary regularity. The second part is concerned with the regularity for nonlinear elliptic systems, which are related to Hilberts 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. Babuaka, P. Ciarlet, P. Dr?bek, M. Feistauer, I. Hlav?1ek, J. Jaruaek, O. John, J. Kristensen, A. Kufner, J. M?lek, G. Mingione, `. Ne1asov?, M. Pokorn?, P. Quittner, T. Roub?1ek, G. Seregin and J. Star?.

This book offers papers of Jindrich Necas, covering the linear theory of partial differential equations, regularity for nonlinear partial differential equations, nonlinear functional analysis and the theory of models describing mechanics of solids and fluids.1 Introduction.- 2 Short Biography of J. Ne1as.- 3 Complete List of Ne1as works.- 4 J. Ne1as in the early 1960s.- 5 J. Ne1as and the Prague School of PDE.- 6 Linear Elliptic Operators.- 7.1 Regularity for Non-linear Equations and Systems.- 7.2 Contribution of Mingione and Kristensen.- 8. Non-linear Functional Analysis, Calculus of Variations.- 9. Solid Mechanics, Elastilã9