Table Of Content

STUDIES IN APPLIED MATHEMATICS Volume LXXXIV 1991 CONTENTS MOBIUS INVERSION OF RANDOM ACYCLIC DIRECTED GRAPHS Joel E. Cohen SINGULAR PERTURBATIONS OF LIMIT POINTS WITH APPLICATION TO TUBULAR CHEMICAL REACTORS Charles G. Lange and Hubertus J. Weinitschke STIRLING NUMBER ASYMPTOTICS FROM RECURSION EQUATIONS USING THE RAY METHOD Charles Kness! and Joseph B. Keller PHASE SHIFT MODULATIONS FOR STABLE, OSCILLATORY, TRAVELING, STRONGLY NONLINEAR WAVES Richard Haberman ON STIRLING FUNCTIONS OF THE SECOND KIND P. L. Butzer and M. Hauss ON THE NONLINEAR DEVELOPMENT OF SMALL THREE-DIMENSIONAL PERTURBATIONS IN PLANE POISEVILLE FLOW: SINGLE-MODE APPROACH Rajaratnam Shanthini ON COMBINATORIAL STRUCTURES KEPT FIXED BY THE ACTION OF A GIVEN PERMUTATION lvan Constantineau and Jacques Labelle A FREQUENCY SELECTION CRITERION iN SPATIALLY DEVELOPING FLOWS Jean-Marc Chomaz, Patrick Huerre, and Larry G. Redekopp ASYMPTOTIC SOLUTION OF THE WEAKLY NONLINEAR SCHRODINGER EQUATION WITH VARIABLE COEFFICIENTS Radhakrishnan Srinivasan THE B-EXTENSION OF THE MULTIVARIABLE LAGRANGE INVERSION FORMULA Jiang Zeng EFFECTS OF RADIATIVE DAMPING ON RESONANTLY GENERATED INTERNAL GRAVITY WAVES H. Mitsudera and R. Grimshaw THE DBAR PROBLEM AND THE TH!IRRING MODEL Javier Villarroel GREEDY FAMILIES FOR LINEAR OBJECTIVE FUNCTIONS Thomas Brylawski SINGULAR PERTURBATION ANALYSIS OF BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS. IV. A NONLINEAR EXAMPLE WITH LAYER BEHAVIOR Charles G. Lange and Robert M. Miura ASYMPTOTIC ANALYSIS OF REACTING MATERIALS WITH SATURATED EXPLOSION. |. LOW-FREQUENCY WAVES Robert F. Almgren, Andrew Majda, and Rodolfo R. Rosales ASYMPTOTIC ANALYSIS OF REACTING MATERIALS WITH SATURATED EXPLOSION. ll. HIGH-FREQUENCY WAVES Robert F. Almgren, Andrew Majda, and Rodolfo R. Rosales STUDIES IN APPLIED MATHEMATICS Volume LXXXV 1991 CONTENTS NONLINEAR EIGENVALUE PROBLEMS UNDER STRONG LOCALIZED PERTURBATIONS WITH APPLICATIONS TO CHEMICAL REACTORS Michael J. Ward and Joseph B. Keller NUMERICAL STUDY OF OSCILLATORY SOLUTIONS OF THE GAS-DYNAMIC EQUATIONS Weinan E and Huanan Yang THE MOTION OF SMALL PARTICLES AND DROPLETS IN QUADRATIC FLOWS Ali Nadim and Howard A. Stone BRANCHING NEAR PLANE WAVES IN PERTURBED DISPERSIVE SYSTEMS Paul K. Newton A COMPUTATIONAL METHOD FOR SOLITARY INTERNAL WAVES IN A CONTINUOUSLY STRATIFIED FLUID Bruce Turkington, Alexander Eydeland, and Sheng Wang ASYMPTOTICS BEYOND ALL ORDERS IN A MODEL OF CRYSTAL GROWTH Martin D. Kruskal and Harvey Segur FRACTIONAL CALCULUS AND THE SUM OF POWERS OF NATURAL NUMBERS H. M. Srivastava, J. M. C. Joshi, and C. S. Bisht ON THE KADOMSTEV-PETVIASHVILI EQUATION AND ASSOCIATED CONSTRAINTS Mark J. Ablowitz and Javier Villarroel DIVIDED DIFFERENCES AND COMBINATORIAL IDENTITIES Luis Verde-Star A GENERALIZATION OF THE PFAFF-SAALSCHUTZ THEOREM ivan Constantineau GENERAL THREE-DIMENSIONAL DISTURBANCES TO INVISCID COUETTE FLOW W. O. Criminale, Bruce Long, and Mei Zhu OBSERVATIONS ON THE ROLE OF VORTICITY IN THE STABILITY THEORY OF WALL BOUNDED FLOWS Isom H. Herron ERRATUM: “TILING BRICKS WITH BRICKS” E. Damiani, O. D’Antona, G. Naldi, and L. Pavarino ON THE CONNECTION CONSTANTS E. Damiani, O. D'Antona, and G. Naldi ON THE LAPLACE TRANSFORM OF RADIAL FUNCTIONS Susana Elena Trione ON THE NONLINEAR DEVELOPMENT OF GORTLER VORTICES IN A COMPRESSIBLE BOUNDARY LAYER P. D. Wadey THE SIGNALING PROBLEM IN NONLINEAR HYPERBOLIC WAVE THEORY Yuanping He and T. B. Moodie AUTHOR INDEX TO VOLUMES 84 AND 85 TITLE INDEX TO VOLUMES 84 AND 85