Handbook Of Differential Equations Evolutionary Equations Volume 2 1st Edition Constantin M Dafermos by Constantin M. Dafermos, Eduard Feireisl (editors) 9780080461380, 9780444520487, 0080461387, 0444520481, B005H84O3Y instant download after payment.

Main subject categories: • Stationary partial differential equations • Differential equations • Partial differential equations • Evolutionary Partial differential equations • Euler Equations and Related Hyperbolic Conservation Laws • Blow-up of Solutions of Supercritical Parabolic Equations • The Boltzmann Equation and Its Hydrodynamic Limits • Long-Time Behavior of Solutions to Hyperbolic Equations with Hysteresis • Mathematical Issues Concerning the Navier–Stokes Equations and Some of Its Generalizations • Evolution of Rate-Independent Systems • On the Global Weak Solutions to a Variational Wave Equation

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.