Weak and Measure-Valued Solutions to Evolutionary PDEs

CRC Press

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 > 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. Roky.