Klienditugi: 7440010 (E-R 10-18)

E-raamat: Weak and Measure-Valued Solutions to Evolutionary PDEs

J. Malek (Charles University, Prague, Czechoslovakia.), M. Ruzicka (University of Bonn, Bonn, Germany), J. Necas (Charles University, Prague, Czechoslovakia), M. Rokyta (Charles University, Prague Czechoslovakia.)

Formaat: 336 pages
Sari: Applied Mathematics
Ilmumisaeg: 16-Aug-2019
Kirjastus: CRC Press
ISBN-13: 9781000715309

Teised raamatud teemal:

Differential calculus & equations

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Formaat: 336 pages
Sari: Applied Mathematics
Ilmumisaeg: 16-Aug-2019
Kirjastus: CRC Press
ISBN-13: 9781000715309

Teised raamatud teemal:

Differential calculus & equations

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This monograph provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. For scalar hyperbolic conservation laws, the well posedness of the initial problem in the whole space as well as the initial boundary value problem in bounded domains is treated. Further, one of the first rigorous mathematical treatments of a class of non-Newtonian fluids is given. The new results, obtained here for both problems, have applications to many rapidly developing areas of physics, biology and mechanical engineering.
Weak and Measure-valued Solutions to Evolutionary PDEs will be of interest to researchers and graduate students in mathematics, theoretical physics and engineering. In particular, engineers and physicists involved in fluid mechanics research, and mathematicians interested in PDEs will value this monograph.

Introduction. Scalar Conservation Laws. Young measures and Scalar Conservation Laws. Measure-Valued Solutions and Nonlinear Hyperbolic Equations. Mathematical Theory for a Class of Non-Newtonian Fluids.

J. Malek is Assistant Professor at the Mathematical Institute of Charles University, Czech Republic. J. Necas is Professor of Mathematics at the Mathematical Institute of Charles University, Czech Republic and at Northern Illinois University, DeKalb, USA. M. Rokyta is Assistant Professor in the Department of Mathematical Analysis at the Faculty of Mathematics and Physics, Charles University, Czech Republic and M. Ruzicka is Scientific Assistant at the Institute of Applied Mathematics of the University of Bonn, Germany.

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