1st Edition

Weak and Measure-Valued Solutions to Evolutionary PDEs

By J. Malek, J. Necas, M. Rokyta, M. Ruzicka Copyright 1996
    336 Pages
    by Chapman & Hall

    This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering.

    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.