Communications on Pure and Applied Mathematics 1991: Vol 44 Table of Contents

5 Pages·1991·0.56 MB·English

Communications on
PURE AND APPLIED MATHEMATICS
Contents of Volume XLIV, Nos. 1-9, 1991
NUMBER |, JANUARY
Dispersive Approximations in Fluid Dynamics
T. Y. Hou and P. D. Lax
A Higher-Order Godunov Method for Modeling Finite Deformation in
Elastic-Plastic Solids
J. A. Trangenstein and P. Colella
A Vortex Method for Fluid-Particle Systems
G. Papanicolaou and J. Zhu
Propagation and Cancellation of Oscillations for Hyperbolic Systems of
Conservation Laws
NUMBER 2, MARCH
Fast Wavelet Transforms and Numerical Algorithms I
G. Beylkin, R. Coifman, and V. Rokhlin
Inverse Parabolic Problems with the Final Overdetermination
Exact Solitary Water Waves with Capillary Ripples at Infinity
J. T. Beale
Nonsymmetric Ground States of Symmetric Variational Problems
M. J. Esteban
NUMBER 3, APRIL
The Ricci Flow on Compact 2-Orbifolds with Curvature Negative
Somewhere
B. Chow and L.-F. Wu
Nodal Sets of Solutions of Elliptic and Parabolic Equations
Smooth Tame Fréchet Algebras and Lie Groups of Pseudodifferential
Operators
K. R. Payne
The Formation of Black Holes and Singularities in Spherically Symmetric
Gravitational Collapse
D. Christodoulou
NUMBER 4, JUNE
Polar Factorization and Monotone Rearrangement of Vector-Valued
Functions
Y. Brenier .
On the Numerical Solution of Two-Point Boundary Value Problems
L. Greengard and V. Rokhlin
On Nematic Liquid Crystals with Variable Degree of Orientation
On Harnack’s Inequality and Entropy for the Gaussian Curvature Flow
NUMBER * “ULY
Direct and Inverse Scattering on the Line with Arbitrary Singularities
P. Deift and X. Zhou
Inverse Problem for N X N Hyperbolic Systems on the Plane and the
N-Wave Interactions
L. Y. Sung and A. S. Fokas
Decay Estimates for Schrédinger Operators
J.-L. Journé, A. Soffer, and C. D. Sogge
NUMBER 6, AUGUST
Homogenization of the Navier-Stokes Equations with a Slip Boundary
Condition
G. Allaire
Optimal Use of the Translation Method and Relaxations of Variational
Problems
N. B. Firoozye
The Fluid-Dynamic Limit of the Broadwell Model of the Nonlinear
Boltzmann Equation in the Presence of Shocks
Boundary C' Regularity for Variational Inequalities
F. H. Lin and Y. Li
NUMBER 7, SEPTEMBER
A Class of Homogenization Problems in the Calculus of Variations
Weinan E
On the Classification of G-Manifolds up to Finite Ambiguity
M. Rothenberg and G. Triantafillou
Breather Solutions of the Nonlinear Wave Equation
S. Kichenassamy
On the Shape of Least-Energy Solutions to a Semilinear Neumann
Problem
W.-M. Ni and I. Takagi
A Diophantine Definition of Integers in the Rings of Rational Numbers
A. Shlapentokh
Addendum to: On the Non-Convexity of Solutions in Free-Boundary
Problems Arising in Plasma Physics and Fluid Dynamics
A. Acker
NUMBERS 8/9, OCTOBER/DECEMBER
A SPECIAL DOUBLE ISSUE DEDICATED
TO NATASCHA A. BRUNSWICK
Natascha
To Natascha
H. McKean
From One Editor to Another
Quantum Deformations of GL,,
M. Artin, W. Schelter, and J. Tate
L? Bounds on Singular Integrals in Homogenization
M. Avellaneda and F. H. Lin
Some Familiar Examples for Which the Large Deviation Principle Does
Not Hold
J. R. Baxter, N. C. Jain, and S. R. S. Varadhan
Central Limit Theorems for Extreme Sojourns of Stationary Gaussian
Processes
S. M. Berman
Remarks on Finding Critical Points
H. Brezis and L. Nirenberg
Some Regularity Properties of Solutions of Monge Ampére Equation
L. A. Caffarelli
Microscopic Shock Structure in Model Particle Systems: The Boghosian-
Levermore Cellular Automation Revisited
Z. Cheng, J. L. Lebowitz, and E. R. Speer
The Initial-Value Problem for Measure-Valued Solutions of a Canonical
2 X 2 System with Linearly Degenerate Fields
Weinan E and R. V. Kohn
Electron Transport in Bifurcated Tokamak Equilibria
P. Garabedian and M. Taylor
New Stability Estimates for the 2-D Vortex Method
J. Goodman and T. Y. Hou
Asymptotic Behavior of High-Order Differences of the Partition Function
C. Knessl and J. B. Keller
The Zero Dispersion Limit, a Deterministic Analogue of Turbulence
Curvatura Integra, Handle-Number, and Genus of Transcendental
Curves
H. P. McKean
The Nonlinear Schrédinger Equation and the Nonlinear Heat Equation
Reduction to Linear Form
H. P. McKean and J. Shatah
An Alternative Proof of Di Perna’s Theorem
C. S. Morawetz
A Numerical Experiment on a Second-Order Partial Differential
Equation of Mixed Type
C. S. Morawetz, D. C. Stevens, and H. Weitzner
Time Series Transformations in Clocked Queueing Networks
O. E. Percus and J. K. Percus
Minimal Bases for Cubic Fields
H. N. Shapiro and G. H. Sparer
On the Confinement Property of Two-Dimensional Brownian Motion
Among Poissonian Obstacles
A.-S. Sznitman
The Toda Shock Problem
S. Venakides, P. Deifi, and R. Oba
Author Index
Volume Contents