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

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

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

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