Selected Works of Jindřich Nečas
PDEs, Continuum Mechanics and Regularity
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Beschreibung
The book collects the most significant contributions of the outstanding Czech mathematician Jindřich Nečas, who was honoured with the Order of Merit of the Czech Republic by President Václav Havel. Starting with Nečas’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 - Nečas 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. Hlaváček, J. Jarušek, O. John, J. Kristensen, A. Kufner, J. Málek, G. Mingione, Š. Nečasová, M. Pokorný, P. Quittner, T. Roubíček, G. Seregin and J. Stará.
The book collects the most significant contributions of the outstanding Czech mathematician Jindřich Nečas, who was honoured with the Order of Merit of the Czech Republic by President Václav Havel. Starting with Nečas’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 - Nečas 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. Hlaváček, J. Jarušek, O. John, J. Kristensen, A. Kufner, J. Málek, G. Mingione, Š. Nečasová, M. Pokorný, P. Quittner, T. Roubíček, 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
Autor*in
Šárka Nečasová
Themen in »Selected Works of Jindřich Nečas«
Navier-Stokes equations calculus of variations elliptic equations fluid mechanics non-linear functional analysis regularity theory solid mechanics thermoelasticity partial differential equations