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Selected Works of Jindrich Necas

Selected Works of Jindrich Necas : PDEs, Continuum Mechanics and Regularity. 2012.

・ISBN 978-3-0348-0230-7 hard EUR 99.99

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お気に入り
著者・編者Necasova, Sarka / Pokorny, Milan / Sverak, Vladimir (eds.),
シリーズAdvances in Mathematical Fluid Mechanics
出版社(Springer Basel, SZ)
出版年月2015
ページ数785 pp.
言語ENG
ニュース番号<M25-21696>

解説

The book collects the most significant contributions of the outstanding Czech mathematician Jindrich Necas, who was honoured with the Order of Merit of the Czech Republic by President Vaclav Havel. Starting with Necas'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 - Necas 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. Babuska, P. Ciarlet, P. Drabek, M. Feistauer, I. Hlavacek, J. Jarusek, O. John, J. Kristensen, A. Kufner, J. Malek, G. Mingione, S. Necasova, M. Pokorny, P. Quittner, T. Roubicek, G. Seregin and J. Stara.