Table Of Content

QUARTERLY OF APPLIED MATHEMATICS EDITED BY . T. BANKS . W. EMMONS J. R. RICE . F. CARRIER . FERRARI S. A. SCHELKUNOFF . COHEN . GERMAIN W. R. SEARS . D. COWAN . GRENANDER L. SIROVICH . DAFERMOS . E. HAY J. J. STOKER . J. DAVIS . LE CORBEILLER P. S. SYMONDS . C. DRUCKER . REISSNER J. L. SYNGE W. F. FREIBERGER Managing Editor FOUNDER, AND MANAGING EDITOR 1943-1965 W. PRAGER VOLUME XLIX CONTENTS JULIO ABAD AND JAVIER SESMA: Roots of Jo(z) — iJ,(z) = 0 as saddle points of the reduced logarithmic derivative of Jo(z) CLaupD! ALsSINA: A Characterization of the room index by means of functional equations FRANK E. BAGINSKI: Errata: Upper and lower bounds for eigenvalues of the Laplacian on spherical cap domains S. BANDYOPADHYAY (see MANDAL, B. N.) H. T. BANKS AND B. G. FITZPATRICK: Estimation of growth rate distributions in size structured population models J. BlELAK AND R. C. MacCamy: Symmetric finite element and boundary integral coupling methods for fluid-solid interaction STAVROS BUSENBERG AND WEIFU FANG: Identification of semiconductor con- tact resistivity G. CAGINALP AND Y. NISHIURA: The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit . C. Y. CHAN AND SHANNON S. Coss: Critical lengths for semilinear singular parabolic mixed boundary-value problems R. J. CHARRON: Lyapunov stability via differential moments LE KHANH CHAU (see STUMPF, HELMUT) GIOVANNI CIMATTI: On two problems of electrical heating of conductors SHANNON S. Coss (see CHAN, C. Y.) Penny J. Davies: Buckling and barrelling instabilities of nonlinearly elastic columns A. M. J. Davis: Creeping flow through an annular stenosis in a pipe W. A. Day: Inequalities associated with standing wave solutions of a hyperbolic equation NirA DYN AND ITAI YAD-SHALOM: Optimal distribution of knots for tensor- product spline approximation HAITAO Fan: The structure of solutions of gas dynamic equations and the for- mation of the vacuum state WEIFU FANG (see BUSENBERG, STAVROS) B. G. FITZPATRICK (see BANKS, H. T.) H. I. FREEDMAN AND J. H. Wu: Persistence and global asymptotic stability of single species dispersal models with stage structure J. M. GOLDEN (see GRAHAM, G. A. C.) ARTHUR D. GORMAN: On caustics associated with hyperbolic systems I. G. G6Tz AND B. B. ZALTZMAN: Nonincrease of mushy region in a nonhomo- geneous Stefan problem G. A. C. GRAHAM AND J. M. GOLDEN: Errata: The generalized partial corre- spondence principle in linear viscoelasticity JONG-SHENQ Guo: On the quenching rate estimate Mor TON E. GuRTIN AND WILLIAM J. HRusa: On the thermodynamics of vis- coelastic materials of single-integral type ANTOINE HENROT AND MICHEL PIERRE: About existence of equilibria in electromagnetic casting GASTON E. HERNANDEZ: Anticrowding population models in several space vari- P. HIRSCHBERG AND E. KNOBLOCH: An unfolding of the Takens-Bogdanov sin- gularity CORNELIUS O. HORGAN (see POLIGNONE, DEBRA A.) WILLIAM J. HRUSA (see GURTIN, MoRTON E.) D. Y. KAsTuRE: Heat transfer for the flow through a pipe A. C. Kina: On the large time behaviour of a thermoviscous flow with dissipa- E. KNOBLOCH (see HIRSCHBERG, P.) D. GLENN LASSEIGNE AND W. E. OLMSTEAD: Ignition or nonignition of a com- bustible solid with marginal heating DENING LI: A 3-Dimensional hyperbolic Stefan problem with discontinuous temperature J. DAVID LOGAN: Wave propagation in a qualitative model of combustion under equilibrium conditions R. C. MacCamy (see BIELAK, J.) B. N. MANDAL AND S. BANDYOPADHYAY: A note on the plane vertical wave- maker in the presence of surface tension DouG as B. MEADE: Applications of generalized stress in elastodynamics .... NATASA MILIc: On the Mullins-Sekerka model for phase transitions in mixtures J. NECAS AND M. SILHAVY: Multipolar viscous fluids PABLO V. NEGRON-MARRERO: Shear instabilities for the buckling of nonlinearly elastic plates YEW-KWANG NG: Equivalent changes/differences for percentages and probabil- Y. NISHIURA (see CAGINALP, G.) W. E. OLMSTEAD (see LASSEIGNE, D. GLENN) YUH-ROUNG Ou AND S. S. SRITHARAN: Analysis of regularized Navier-Stokes equations. I YUH-ROUNG Ou AND S. S. SRITHARAN: Analysis of regularized Navier-Stokes equations. II MICHAEL J. PANIK: Dual envelope results under concave programming H. PARK AND L. SirovicH: Hydrodynamic stability of Rayleigh-Bénard con- vection with constant heat flux boundary condition K. A. PERICAK-SPECTOR: On uniqueness for the slow flow of a dilute suspension of solid particles in a fluid MICHEL PIERRE (see HENROT, ANTOINE) DEBRA A. POLIGNONE AND CORNELIUS O. HORGAN: Pure torsion of compress- ible nonlinearly elastic circular cylinders D. W. PRAVICA AND K. B. RANGER: Spatially periodic Stokes flow stirred by a Rotlet interior to a closed corrugated boundary DENNIS W. QUINN: A Banach space solution of an abstract Cauchy problem which has Robin boundary data K. B. RANGER: A complex variable integration technique for the two- dimensional Navier-Stokes equations K. B. RANGER (see PRAVICA, D. W.) JACOB RUBINSTEIN: Self-induced motion of line defects Davip L. RussELL: A comparison of certain elastic dissipation mechanisms via decoupling and projection techniques ................ SANDRA LEE SAMELSON: Tchebychev nets on spheres CHRISTIAN SCHMEISER: Voltage-current characteristics of multi-dimensional semiconductor devices JAVIER SESMA (see ABAD, JULIO) M. SitHavy (see NE¢as, J.) L. SIROVICH (see PARK, H.) J. SIVALOGANATHAN: Cavitation, the incompressible limit, and material inho- mogeneity S. H. SMITH: The time-dependent Stokes paradox S. S. SRITHARAN (see OU, YUH-ROUNG) HELMUT STUMPF AND LE KHANH CHau: On shakedown of elastoplastic shells Jitsuro SuGie: Nonexistence of periodic solutions for the FitzHugh nerve sys- Bruce W. SuTER: Foundations of Hankel transform algorithms PETER J. TONELLATO: Critical behavior of an ignition model in chemical combustion WAN-XIAN WANG: The potential for a homogeneous cylinder in a cylindrical coordinate system J. W. WILDER: Traveling wave solutions for interfaces arising from phase bound- aries based on a phase field model PETER WOLFE: Asymptotic analysis of a rod with small bending stiffness L. V. WOLFERSDORF: On an electromagnetic inverse problem for dispersive me- J. H. Wu (see FREEDMAN, H. I.) ITAl YAD-SHALOM (see Dyn, NIRA) B. B. ZALTZMAN (see GOTzZ, I. G.)