Nonlinear partial differential equations in applied science: Proceedings of the U.S.-Japan seminar, Tokyo, 1982 (North-Holland mathematics studies)

✍ Scribed by Fujita H., Lax P.D., Strang G. (eds.)

• Publisher: Elsevier Science [distributor]
• Year: 1983
• Tongue: English
• Leaves: 477
• Category: Library

✦ Table of Contents

Front Cover
Nonlinear Partial Differential Equations in Applied Science; Proceedings of The U.S. -Japan Seminar, Tokyo, 1982
Copyright Page
Contents
Preface
Program
Chapter 1. Conservation Laws and the Weak Topology
Chapter 2. Global Bifurcation Diagram in Nonlinear Diffusion Systems
Chapter 3. The Navier-Stokes Initial Value Problem in LP
Chapter 4. Nash’s Implicit Function Theorem and the Stefan Problem
Chapter 5. Quasi-linear Equations of Evolution in Nonreflexive Banach Spaces
Chapter 6. Asymptotic Behaviors of the Solution of an Elliptic Equation with Penalty Terms
Chapter 7. Partial Regularity and the Navier-Stokes Equations
Chapter 8. Blow-Up of Solutions of Some Nonlinear Diffusion Equations
Chapter 9. Asymptotic Behavior of the Free Boundaries Arising in One Phase Stefan Problems in Multi-Dimensional Spaces
Chapter 10. Initial Boundary Value Problems for the Equations of Compressible Viscous and Heat- Conductive Fluid
Chapter 11. Integral Representation of Solutions for Equations of Mixed Type in a Half Space
Chapter 12. Yielding and Unloading in Semidiscrete Problem of Plasticity
Chapter 13. Two Dimensional Convection Patterns in Large Aspect Ratio Systems
Chapter 14. Stationary Free Boundary Problems for Circular Flows with or without Surface Tension
Chapter 15. Focusing Singurarity for the Nonlinear Schroedinger Equation
Chapter 16. Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold
Chapter 17. L1 and L Approximation of Vector Fields in the Plane
Chapter 18. Deformation Formulas and their Applications to Spectral and Evolutional Inverse Problems
Chapter 19. Stationary Solutions of the Boltzmann Equation
Chapter 20. On the Linear Stability Analysis of Magnetohydrodynamic System
Chapter 21. A Simple System with a Continuum of Stable Inhomogeneous Steady States
Chapter 22. Chaos Arising from the Discretization of O.D.E. and an Age Dependent Population Model
Chapter 23. Stability, Regularity and Numerical Analysis of the Nonstationary Navier-Stokes Problem
Chapter 24.The Existence and the Finite Element Approximation for the System
Chapter 25. A Hyperbolic Model of Combustion
Chapter 26. Boundary Value Problems for Some Nonlinear Evolutional Systems of Partial Differential Equations
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