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

ISBN

9781483269245

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

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