Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on October 17-19, 1977.
This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm’s method. The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. These topics are followed by discussions of the practical applications of Trotter’s product formula for some nonlinear semigroups and the finite time blow-up in nonlinear problems. The closing chapters deal with a Hamiltonian approach to the K-dV and other equations, along with a variational method for finding periodic solutions of differential equations.
This book will prove useful to mathematicians and engineers.
List of Contributors
Entropy and the Uniqueness of Solutions to Hyperbolic Conservation Laws
Computational Aspects of Glimm's Method
The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation
On Some Problems Connected with Navier Stokes Equations
Everywhere Defined Wave Operators
Asymptotic Behavior of Solutions of Evolution Equations
Results and Open Questions in the Asymptotic Theory of Reaction-Diffusion Equations
Asymptotic Behavior of Some Evolution Systems
Trotter's Product Formula for Some Nonlinear Semigroups
Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations
Finite Time Blow-Up in Nonlinear Problems
A Hamiltonian Approach to the K-dV and Other Equations
A Variational Method for Finding Periodic Solutions of Differential Equations
- No. of pages:
- © Academic Press 1978
- 28th January 1978
- Academic Press
- eBook ISBN: