Handbook of Differential Equations: Evolutionary Equations

The aim of the book is to acquaint the reader with the current status. Evolutionary partial differential equations. 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research on the subject of physical education. Any attempt to produce a comprehensive survey would be futile. Aim The aim The directions The articles The articles The articles The articles The. Aim The aim The articles The articles The. The emphasis will be on nonlinear equations, which pose the most challenging problems today.

. Volume I of this Handbook does focus on the abstract theory of evolutionary equations.
. Volume 2 medicines more concrete problems relating to specific applications.
. Together, provide a panorama of this amazingly complex and rapidly developing branch of mathematics.

Contents
Preface
1. Euler Equations and Related Hyperbolic Conservations Laws, (G.-Q. Chen).
2. Blow-up of Solutions of Supercritical Parabolic Equations, (M. Fila).
3. The Boltzmann Equation and Its Hydrodynamic limits, (F. Golse).
4. Long-Time Behavior of Solutions is Hyperbolic Equations with Hysteresis, (P. Krejci).
5. Mathematical Issues Concerning the Navier-Stokes Equations and some of their Generalizations, (J. Málek, KR Rajagopal).
6. Evolution of Rate-Independent Systems, (A. Mielke).
7. On the Global Weak Solutions is a Variational Wave Equation, (P. Zhang, Y. Zheng).