MATHEMATICAL METHODS IN THE APPLIED SCIENCES
VOLUME 22, NOUMBER 1, JANUARY 1999
Analyticity of the Semigroup Generated by the Operate of a Viscous
Compressible Fluid : A. Kozhevnikov...............................................................................................................1
Non-local Approach in Mathematical Problems of Fluid-Structure Inter-
national : L. Jentsch and D. Natroshvili..............................................................................................................13
Global Boundednessof Solutions to a Reaction-Diffusion Systems: S. Zheng 43
The Scattering of Plane Elastic Waves by a One- dimensional Periodic
Surface: T. Arens................................................................................................................................................55
The Resistive Coated Sphere in the Presence of a Point Generated Wave
Field : Y. Arnaoudov,G. Dassios and M. Hadjinicolaou.........................................................................................73
Existence and Approximation of Souution of Non-Linear Discrete Systems
on Infinite Intervals: R. P. Agarwal and D. O, Regan...............................................................................................91
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER. 2, JANUARY 1999
CONTENTS
Explicit Decay Bounds in Some Quasilinear One-dimensional Parabolic
Problems: G. A. Philippin and S. Vernier-Piro. .................................................................. 101
Singularity Analysis in 2+1-Dimensional Generalization of the Perturbation
Equations of the KdV Hierarchy: J. Yu and Z.-K. Xie .. ....... .............................................111
Finite-dimensional Asymptotic Behavior in a Thermosyphon Including the
Soret Effect: A. Jimenez-Casas and A. Rodriguez-Bernal. ................................................. 117
Spectra of Schrodinger Operators on Planar Domains with Ends with
Unbounded Cross-section: J. Edward ............................................................................ ....139
A Convolution Formula for Time-invariant Linear Communication
Systems: W. Krabs ........................................................................................................... 171
The NystrOm Method for Solving a Class of Singular Integral Equations
and Applications in 3D-Plate Elasticity: A. Kirsch and S. Ritter ........................................... 177
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 3, FEBRUARY 1999
Erratum ......................................................... ..........................................................199
The Helmholtz Equation in a Quadrant with Robin's Conditions: F. Penzel
and F. S. Teixeira ..................................................................................................... 201
Edge Asymptotics for the Radiosity Equation over Polyhedral Boundaries:
A. Rathsfeld.............................................................................................................. 217
Maxwell and Lame Eigenvalues on Polyhedra: M. Costabel and M. Dauge............... 243
Solvability of Non-linear Parabolic Boundary Value Problem with
Equivalued Surface: X. Zhang ................................................................................ 259
A Quasistatic Contact Problem with Slip-dependent Coefficient of Friction:
A. Amassad, M. Shillor and M. Sofonea ................................................................ 267
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 4, MARCH 1999
Existence and Uniqueness Theorem for the Chan-Bodner-LindhoIrn
Model: P. Gwiazda .................................................................................................. 285
On a Generalization of Blaschke's Rolling Theorem and the Smoothing of
Surfaces: G. Walther. ............................................................................................... 301
Variational Methods for Fluids of PrandtI-Eyring Type and Plastic
Materials with Logarithmic Hardening: M. Fuchs and G. Seregin ................................ 317
Monogenic Functions and Representations of Nilpotent Lie Groups in
Quantum Mechanics: J. Cnops and V. V. Kisil .......................................................... 353
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 5, MARCH 1999
Quasilinear Degenerate Parabolic Equations of Kirchhoff Type: M. Gobbino............................... 375
A Numerical Method for the Computation of Electromagnetic Modes in
Optical Fibres: P. Joly and C. Poirier ........................................................................................ 389
Existence of Classical Solutions for Compressible Viscoelastic Fluids of
Oldroyd Type past an Obstacle: S. Matusu-Necasova, A. Sequeira and
J. Videman................................................................................................................................. 449
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 6, APRIL 1999
Wiener-Hopf Factorization of a Generalized Daniele-Khrapkov Class 2 x 2
Matrix Symbols: M. C. Camara and A. F. dos Santos........................................................ 461
Characterization of the Singular Part of the Solution of Maxwell's
Equations in a Polyhedral Domain: F. Assous, P. Ciarlet, P. A. Raviart and
E. Sonnendriicker............................................................................................................. 485
Numerical Solution of Non-stationary Aero-autoelasticity Tntegro-
differential Operator Equations: G. N. Einagar and A. Khamayseh. .................................... 501
Periodic Solutions of Non-linear Kinematic Hardening Models: M. Kunze........................... 515
Vorticity-Velocity Formulations of the Stokes Problem in 3D: A. Ern,
J.-L. Guermond and L. Quartapelle. ................................................................................. 531
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MATEMATICAL METHODS IN THE APPLIED SCIENCE
VOL. 22, NO. 7, MAY 1999
On Monotone Plastic Constutive Equations with Polynomial Growth
Condition: K. Chehninski ........................................................................................... 547
The Stationary Stefan Problem with Convection Governed by a Non-linear
Darcy's Law: M. Boukrouche and G. Lukaszewicz. .................................................. 563
Boundary Element Solution oF a Scattering Problem Involving a
Generalized Impedance Boundary Condition: L. Vernhet .......................................... 587
A One-dimensional Flow Problem in Porous Media with Hydrophile
Grains: A. Fasano..................................................................................................... 605
The Well-posedness of the Electric Field Integral Equation for Transient
Scattering from a Perfectly Conducting Body: B. P. Rynne. ....................................... 619
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 8, MAY 1999
Uniqueness Results, Control and Asymptotic Analysis for Slightly
Compressible Fluids: C. Fabre .............................................................................. 633
Stationary Problem of Second Grade Fluids in Three Dimensions:
Existence, Uniqueness and Regularity: J. M. Bernard. ............................................ 655
Spectral Analysis of a Perturbed Multistratified Isotropic Elastic Strip:
New Method: T. Bouhennache ............................................................................. 689
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Mathematical Methods in the Applied Sciences
VOLUME 22, NUMBER 9, JUNE 1999
Analysis of a Two-stage Least Squares Finite Element Method for the
Planar Elasticity Problem: S.-Y. Yang and C. L. Chang ....................................... 713
Periodic and Solitary Travelling Wave Solutions for the Generalized
Kadomtsev-Petviashivili Equations: A. A. Pankov and K. Pfluger. ...................... 733
Uniqueness in the Inverse Transmission Scattering Problem for Periodic
Media: B. Strycharz ............................................... .........................................753
Bound on the Counting Function for the Eigenvalues of an Infinite
Multistratified Acoustic Strip: 0. Poisson ........................................................... 773
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 10 July 1999
Some Overdetermined Parabolic Problems: G. A. Philippin and A. Safoui...................... 791
The Problem on Interaction of von Karman Plate with Subsonic Flow of
Gas: A. Boutet de Monvel and 1. Chueshov. .................................................................. 801
Asymptotic Analysis of a Thin-layer Device with Tresca's Contact "Law in
Elasticity: G. Bayada, M. Chambat and K. Lhalouani........................................................ 811
Resonance Phenomena for Water Waves in Channels of Arbitrary Cross_
section: M. D. Groves and P. Lesky ................................................................................ 837
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Mathematical Methods in the Applied Sciences
vol. 22, no. 11, july 1999
Sub-Riemannian Geometry and Clinical Magnetic Resonance Tomography:
W. Schempp...................................................................................................... 867
Implicit Residual Error Estimators for the Coupling of Finite Elements and
Boundary Elements: U. Brink and E. P. Stephan .................................................. 923
On the Application of Floquet's Theory to Lp-Lq Estimates for Hyperbolic
Equations with Very Fast Oscillations: M. Reissig and K. Yagdjian ...................... 937
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 12 , August 1999
On Uniqueness in the Inverse Conductivity Problem: A. Sever 953
Mathematical and Numerical Modellization of Large-scale Oceanic Waves:
A, Belmiloudi, R Brossier and L. Monier. 967
An Inverse Contact Problem in the Theory of Elasticity: M. Yamamoto,
D. Xu and J. Cheng 1001
Paretial Fourier Approximation of the Lame Equations in Axisymmetric
Domains: B. Nkemzi and B. Heinrich 1017
Regularity of the Solutions of the Steady-state Boussinesq Equations with
ThermocapillarityEffects on the Surface of the Liquid: L, Paquet 1043
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 13 , September 1999
Optimal Control of Boundary Habitat Hostility for Interacting Species:
S. Lenhart, M. Liang and V, Protopopescu 1061
Sufficient Conditions for the Regularity of the Solutions of the Navier-
Stokes Equations: L. C. Berselli 1079
Blow-up for a Class of Semilinear Integro-difYerential Equations of Para-
bolic Type: D. Hirata 1087
Existence for a Time-dependent Heat Equation with Non-local Radiaton
Terms: M, Metzger. 1101
Resonant Frequencies for a Narrow Strip Grating: H. Ammari, N. Bereux
and J. Nedelec . 1121
Polynomial Motion of Nonholonomic Mechanical Systems of Chained
Form: W. L. Xu and B.L.Ma 1153
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 14 , September 1999
Electromagnetic Scattering by a Homogeneous Chiral Obstacle: Scattering
Relations and the Far-field Operator: C Athanasiadis, P. A. Martin and
I. G. Stratis 1175
Asymptotic Stability for a Non-local Problem in Electromagnetism: C A.
Bosello 1189
Two Arbitrarily Located Normal Forces and a Penny-shaped Crack: A
Complete Solution: V. I. Fabrikant 1201
The Solvability of a Coupled Thermoviscoelastic Contact Problem with
Small Coulomb Friction and Linearized Growth ofFrictional Heat: C. Eck
and J. Jarusek . 1221
Weak Solution to a Phase-field Transmission Problem in a Concentrated
Capacity: G. Schimpema 1235
Regularity of Weak Solutions of Maxwell's Equations with Mixed
Boundary-conditions: F, Jochmann 1255
Mathematical Methods in the Applied Sciences
VOLUME 22, No. 15 , October 1999
Existence of Global Weak Solutions for a Class of Quasillinear Equations
Describing Joule's Heating: M, Bien 1275
Computations on Thin Non-inhibited Hyperbolic Elastic Shells, Bench-
marks for Membrane Locking: D. Choi 1293
A Model of Thermal Dissipation for a One-dimensional Viscous Reactive
and Radiative Gas: B. Ducomet 1323
Diagnosis in Track and Field Performances past the 1988 Ben Johnson
Doping Scandal: P. M. Fuchs . 1351
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 16 , November 1999
Asymptotic Stability in Thermoelectromagnetism with Memory: B. Lazzari
and R. Nibbi . 1375
Analysis of Singular Perturbations on the Brinkman Problem for Fictitious
pomain Models of Viscous Flows: P. Angot 1395
Interface Cracks in Anisotropic Composites: R, Duduchava, A.-M, Sandig
and W. L. Wendland 1413
Automatic Control of the Temperature in Thermoviscoelasticity:
M. Grasselli . 1447
Local and Non-local Boundary Quenching: C, A. Roberts and W. E.
Olmstead 1465
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Mathematical Methods in the Applied Sciences
VOLUME 22, No. 17 , November 1999
The Mean Curvature of the Influence Surface of Wave Equation with
Sources on a Moving Surface: R Farassat and M. Farris 1485
A Comparison of the Plate Theories in the Sense of Kirchhoff-Love and
Reissner-Mindlin: S. Ebenfeld 1505
Regularity of the Global Attractor for the Klein-Gordon-SchrOdinger
Equation: HL Lange and B, Wang 1535
On the Pollution Effect of Quasi-compressibility Methods in Magneto-
hydrodynamics and Reactive Flows: A. Prohl 1555
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