Directions in Partial Differential Equations
eBook - PDF

Directions in Partial Differential Equations

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 28—30, 1985

  1. 258 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Directions in Partial Differential Equations

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 28—30, 1985

About this book

Directions in Partial Differential Equations covers the proceedings of the 1985 Symposium by the same title, conducted by the Mathematics Research Center, held at the University of Wisconsin, Madison. This book is composed of 13 chapters and begins with reviews of the calculus of variations and differential geometry. The subsequent chapters deal with the study of development of singularities, regularity theory, hydrodynamics, mathematical physics, asymptotic behavior, and critical point theory. Other chapters discuss the use of probabilistic methods, the modern theory of Hamilton-Jacobi equations, the interaction between theory and numerical methods for partial differential equations. The remaining chapters explore attempts to understand oscillatory phenomena in solutions of nonlinear equations. This book will be of great value to mathematicians and engineers.

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Yes, you can access Directions in Partial Differential Equations by Michael G. Crandall,Paul H. Rabinowitz,E. L. Turner in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780121952556
eBook ISBN
9781483269245
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Directions in Partial Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. Symposium Speakers
  8. Contributors
  9. Chapter 1. Singular Minimizers and their Significance in Elasticity
  10. Chapter 2. Nonlinear Elliptic Equations Involving the Critical Sobolev Exponent—Survey and Perspectives
  11. Chapter 3. The Differentiability of the Free Boundary for the n-Dimensional Porous Media Equation
  12. Chapter 4. Oscillations and Concentrations in Solutions to the Equations of Mechanics
  13. Chapter 5. The Connection Between the Navier-Stokes Equations, Dynamical Systems, and Turbulence Theory
  14. Chapter 6. Blow-Up of Solutions of Nonlinear Evolution Equations
  15. Chapter 7. Coherence and Chaos in the Kuramoto-Velarde Equation
  16. Chapter 8. Einstein Geometry and Hyperbolic Equations
  17. Chapter 9. Recent Progress on First Order Hamilton-Jacobi Equations
  18. Chapter 10. The Focusing Singularity of the Nonlinear Schrödinger Equation
  19. Chapter 11. A Probabilistic Approach to Finding Estimates for the Heat Kernel Associated with a Hörmander Form Operator
  20. Chapter 12. Discontinuities and Oscillations
  21. Chapter 13. The Structure of Manifolds with Positive Scalar Curvature
  22. Index