Nonlinear Evolution Equations
eBook - PDF

Nonlinear Evolution Equations

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977

  1. 266 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Nonlinear Evolution Equations

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977

Book details
Table of contents
Citations

About This Book

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.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483269283
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonlinear Evolution Equation
  3. Copyright Page
  4. Table of Contents
  5. List of Contributors
  6. Preface
  7. Chapter 1. Entropy and the Uniqueness of Solutions to Hyperbolic Conservation Laws
  8. Chapter 2. Computational Aspects of Glimm's Method
  9. Chapter 3. The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation
  10. Chapter 4. On Some Problems Connected with Navier Stokes Equations
  11. Chapter 5. Everywhere Defined Wave Operators
  12. Chapter 6. Asymptotic Behavior of Solutions of Evolution Equations
  13. Chapter 7. Results and Open Questions in the Asymptotic Theory of Reaction–Diffusion Equations
  14. Chapter 8. Asymptotic Behavior of Some Evolution Systems
  15. Chapter 9. Trotter's Product Formula for Some Nonlinear Semigroups
  16. Chapter 10. Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations
  17. Chapter 11. Finite Time Blow-Up in Nonlinear Problems
  18. Chapter 12. A Hamiltonian Approach to the K dV and Other Equations
  19. Chapter 13. A Variational Method for Finding Periodic Solutions of Differential Equations
  20. Index