Handbook of Differential Equations: Evolutionary Equations Volume 2
Constantin M. Dafermos, Eduard Feireisl (Editors)This is the second volume in the series Evolutionary Equations, part of the Handbook of Differential Equations project. Whereas Volume I was intended to provide an overview of diverse abstract approaches, the guiding philosophy of the present volume is to offer a representative sample of the most challenging specific equations and systems arising in scientific applications.
Three chapters are devoted to the modern mathematical theory of fluid dynamics: Chapter 1 deals with the Euler equations, Chapter 5 provides a general introduction to the theory of incompressible viscous fluids, and Chapter 3 discusses the asymptotic limits of discrete mechanical systems described by the Boltzmann equation.
In a different direction, Chapter 2 introduces the blow-up phenomena of solutions of general parabolic equations and systems.
Chapters 4 and 6 are closely related and deal with mathematical problems arising in materials science.
Finally, Chapter 7 explores the topic of nonlinear wave equations.