Nonlinear Partial Differential Equations in Applied Science: Seminar Proceedings (Mathematics Studies)

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Page iii

Copyright page
Page iv

Preface
Page v
H. Fujita, P.D. Lax, G. Strang

Program
Pages ix-xi

Directory of Participants of US-Japan Seminar \'82 in Applied Analysis
Pages xiii-xv

Institutional Participants
Pages xvi-xvii

Committees and Staffs
Page xviii

Conservation Laws and the Weak Topology Original Research Article
Pages 1-15
Ronald J. DiPerna

Global Bifurcation Diagram in Nonlinear Diffusion Systems Original Research Article
Pages 17-35
Hiroshi Fujii, Yasumasa Nishiura

The Navier-Stokes Initial Value Problem in Lp and Related Problems Original Research Article
Pages 37-54
Yoshikazu Giga

Nash\'s Implicit Function Theorem and The Stefan Problem Original Research Article
Pages 55-60
Ei-Ichi Hanzawa

Quasi-linear equations of evolution in nonreflexive Banach spaces Original Research Article
Pages 61-76
Tosio Kato

Asymptotic Behaviors of the Solution of an Elliptic Equation with Penalty Terms Original Research Article
Pages 77-100
Hideo Kawarada, Takao Hanada

Partial Regularity and the Navier-Stokes Equations Original Research Article
Pages 101-118
Robert V. Kohn

Blow-Up of Solutions of Some Nonlinear Diffusion Equations Original Research Article
Pages 119-131
Kyûya Masuda

Asymptotic Behavior of the Free Boundaries Arising in One Phase Stefan Problems in Multi-Dimensional Spaces Original Research Article
Pages 133-151
Hiroshi Matano

Initial Boundary Value Problems for the Equations of Compressible Viscous and Heat-Conductive Fluid Original Research Article
Pages 153-170
Akitaka Matsuraura, Takaaki Nishida

Integral Representation of Solutions for Equations of Mixed Type in a Half Space Original Research Article
Pages 171-188
Sadao Miyatake

Yielding and Unloading in Semidiscrete Problem of Plasticity Original Research Article
Pages 189-204
Tetsuhiko Miyoshi

Two Dimensional Convection Patterns in Large Aspect Ratio Systems Original Research Article
Pages 205-231
Alan C. Newell

Stationary free boundary problems for circular flows with or without surface tension Original Research Article
Pages 233-251
Hisashi Okamoto

Focusing Singularity for the Nonlinear Schroedinger Equation Original Research Article
Pages 253-257
G. Papanicolaou, D. McLaughlin, M. Weinstein

Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold Original Research Article
Pages 259-271
Mikio Sato

L1 and L∞ Approximation of Vector Fields in the Plane Original Research Article
Pages 273-288
Gilbert Strang

Deformation formulas and their applications to spectral and evolutional inverse problems Original Research Article
Pages 289-311
Takashi Suzuki

Stationary Solutions of the Boltzmann Equation Original Research Article
Pages 313-331
Seiji Ukai, Kiyoshi Asano

On the Linear Stability Analysis of Magnetohydrodynamic System Original Research Article
Pages 333-344
Teruo Ushijima

A simple system with a continuum of stable inhomoqeneous steady states Original Research Article
Pages 345-359
H.F. Weinberqer

Chaos arising from the discretization of O.D.E. and an age dependent population model. Original Research Article
Pages 361-375
Masaya Yamaguti, Masayoshi Hata

Stability, Regularity and Numerical Analysis of the Nonstationary Navier-Stokes Problem Original Research Article
Pages 377-397
John G. Heywood

The Existence and the Finite Element Approximation for the System 4u ε ujρ∂u/∂xj+f Original Research Article
Pages 399-407
Lin Qun, Jiang Lishang

A hyperbolic model of combustion Original Research Article
Pages 409-434
Ying Lung-an, Teng Zhen-huan

Boundary Value Problems for Some Nonlinear Evolutional Systems of Partial Differential Equations Original Research Article
Pages 435-457
Zhou Yu-lin