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January-December 1989 Preprints
- 474
Higher Order Nonlinear Degenerate Parabolic
Equations
Francisco Bernis and Avner Friedman
[ PDF ] - 475
Maxwell's Equations in a Periodic Structure
Xinfu Chen and Avner Friedman
[ PDF ] - 477
A Method for Solving the Dispersionless KP
Hierarchy and its Exact Solutions II
Yuji Kodama and John Gibbons
[ PDF ] - 478
Exact Solutions of Hydrodynamic Type Equations
Having Infinitely Many Conserved Densities
Yuji Kodama
[ PDF ] - 479
Some Forced Nonlinear Equations and the Time
Evolution of Spectral Data
Robert Carroll
[ PDF ] - 481
Translation Planes and Derivation Sets
E.F. Assmus, Jr. and J.D. Key
[ PDF ] - 482
Mathematical Modeling and Computer Simulation
of the Aging-Cancer Interface
Matthew Witten
[ PDF ] - 483
Re-Examining The Gompertzian Model of Aging
Matthew Witten and Caleb E. Finch
[ PDF ] - 484
A Free Boundary Problem for a Hamilton-Jacobi
Equation Arising in Ions Etching
Bei Hu
[ PDF ] - 485
Optimization of Globally Convex Functions
T.C. Hu, Victor Klee and David Larman
[ PDF ] - 486
Shellings of Tilings
Pierre Goossens
[ PDF ] - 487
Integrable and Chaotic Polarization Dynamics
in Nonlinear Optical Beams
D. David, D. D. Holm, and M.V. Tratnik
[ PDF ] - 488
Horseshoe Chaos in a Periodically Perturbed
Polarized Optical Beam
D. David, D.D. Holm and M.V. Tratnik
[ PDF ] - 489
Linear Recurrent Sequences and Irrationality
Measures
Laurent Habsieger
[ PDF ] - 490
MacDonald Conjectures and The Selberg Integral
Laurent Habsieger
[ PDF ] - 491
The Relaxation of Functionals with Surface
Energies
David Kinderlehrer and Giorgio Vergara-Caffarelli
[ PDF ] - 492
Theory of Diffusionless Phase Transitions
Richard James and David Kinderlehrer
[ PDF ] - 493
Recent Developments in Liquid Crystal Theory
David Kinderlehrer
[ PDF ] - 494
Equivalence of Higher Order Lagrangians 1.
Formulation and Reduction
Niky Kamran and Peter J. Olver
[ PDF ] - 495
Equivalence of Higher Order Lagrangians II.
The Cartan Form for Particle Lagrangians
Lucas Hsu, Niky Kamran and Peter J. Olver
[ PDF ] - 496
Quantization of BiHamiltonian Systems
D.J. Kaup and Peter J. Olver
[ PDF ] - 498
Detonation Waves and Deflagration Waves in
the One Dimensional ZND Model for High Mach Number Combustion
David H. Wagner
[ PDF ] - 499
Minimum Cutsets for an Element of a Boolean
Lattice
Jerrold R. Griggs and Daniel J. Kleitman
[ PDF ] - 500
On Affine Difference Sets
Dieter Jungnickel
[ PDF ] - 501
Reduced Matrices and q-log Concavity Properties
of q-Stirling Numbers
Pierre Leroux
[ PDF ] - 502
The Flow of Pure Vapor Undergoing Film Condensation
Between Parallel Plates
A. Narain and Y. Kizilyalli
[ PDF ] - 503
On the Convergence of Finite Element Approximations
of a Relaxed Variational Problem
Donald A. French
[ PDF ] - 504
Computation, Dimensionality, and Zero Dissipation
Limit of the Ginzburg-Landau Wave Equation
Yisong Yang
[ PDF ] - 505
One-Dimensional Thermomechanical Phase Transitions
with Non-Convex Potentials of Ginzburg-Landau Type
Jürgen Sprekels
[ PDF ] - 506
A Note On Nonabelian Vortices
Yisong Yang
[ PDF ] - 507
On the Abelian Higgs Models with Sources
Yisong Yang
[ PDF ] - 508
Existence of Kam Tori in the Phase Space of
Vortex Systems
Chjan. C. Lim
[ PDF ] - 509
Bäcklund Transformations and the Painlevé
Property
John Weiss
[ PDF ] - 510
The Yang-Baxter Equation for Integrable Systems
Pu Fu-cho and D.H. Sattinger
[ PDF ] - 511
Instability and Ill-Posedness in Granular
Flow
E. Bruce Pitman and David G. Schaeffer
[ PDF ] - 512
Polynomial Flows on
Brian A. Coomes
[ PDF ] - 513
The Runge-Kutta Local Projection Discontinuous
Galerkin Finite Element Method for Conservation Laws IV: The
Multidimensional Case
Bernardo Cockburn, Suchung Hou and Chi-Wang Shu
[ PDF ] - 514
Invariant Theory, Equivalence Problems, and
the Calculus of Variations
Peter J. Olver
[ PDF ] - 516
Stability of Periodic Arrays of Cylinders
Across the Stream by Direct Simulation
P. Singh, Ph. Caussignac, A. Fortes, D.D. Joseph and T. Lundgren
[ PDF ] - 517
Generalization of the Foscolo-Gibilaro Analysis
of Dynamic Waves
Daniel D. Joseph
[ PDF ] - 518
Note on the Balance of Energy at a Phase Change
Interface
A. Narain and D.D. Joseph
[ PDF ] - 519
Remarks on inertial radii, persistent normal
stresses, secondary motions , and non-elastic extensional
viscosities
Daniel D. Joseph
[ PDF ] - 520
Mathematical Problems Associated with the
Elasticity of Liquids
D. D. Joseph
[ PDF ] - 521
Some Necessary Conditions at an Internal Boundary
for Minimizers in Finite Elasticity
Henry C. Simpson and Scott J. Spector
[ PDF ] - 522
On the 0-1 Maximization of Positive Definite
Quadratic Forms
Peter Gritzmann and Victor Klee
[ PDF ] - 523
The Yang-Baxter Equations and Differential
Identities
Fu-Cho Pu and D.H. Sattinger
[ PDF ] - 524
A Hyperbolic Inverse Problem Arising in the
Evolution of Combustion Aerosol
Avner Friedman and Fernando Reitich
[ PDF ] - 525
Conformal Symmetries and Generalized Recurrences
for Heat and Schrödinger Equations in One Spatial Dimension
E.G. Kalnins, Raphael D. Levine and Willard Miller, Jr.
[ PDF ] - 526
On Entropy Consistency of Large Time Step
Godunov and Glimm Schemes
Wang Jinghua and Gerald Warnecke
[ PDF ] - 527
Existence Results for the Flow of Viscoelastic
Fluids with a Differential Constitutive Law
C. Guillopé and J.C. Saut
[ PDF ] - 529
Life-Span of Classical Solutions to Fully
Nonlinear Wave Equations
Li Ta-tsien (Li Da-qian) and Yu Xin
[ PDF ] - 530
A Variational Inequality Associated with a
Lubrication Problem
Jong-Shenq Guo
[ PDF ] - 531
On the Semilinear Elliptic Equation
in
Jong-Shenq Guo
[ PDF ] - 532
Inversion of the Bloch transform in magnetic
resonance imaging using asymmetric two-component inverse scattering
Andrew E. Yagle
[ PDF ] - 533
A Fiber Tapering Problem
Bei Hu
[ PDF ] - 535
A Well-Posed Boundary Value Problem for Supercritical
Flow of Viscoelastic Fluids of Maxwell Type
Michael Renardy
[ PDF ] - 536
Ill-Posedness Resulting from Slip As a Possible
Explanation of Melt Fracture
Michael Renardy
[ PDF ] - 537
Compatibility Conditions at Corners Between
Walls and Inflow Boundaries for Fluids of Maxwell Type
Michael Renardy
[ PDF ] - 538
The Spectrum of Restricted Resolvable Designs
with
Rolf Rees
[ PDF ] - 539
Nonlinear stability of rotating pseudo-rigid
bodies
D. Lewis and J.C. Simo
[ PDF ] - 540
Variational Principles with Linear Growth
Robert Hardt and David Kinderlehrer
[ PDF ] - 541
Computation of Superconductivity in Thin Films
San Yih Lin and Yisong Yang
[ PDF ] - 542
Pressure Driven Flow of Pure Vapor Undergoing
Laminar Film Condensation Between Parallel Plates
A. Narain
[ PDF ] - 543
On Local Equivalence for Vector Field Systems
P.J. Vassiliou
[ PDF ] - 544
On Conditions Sufficient for Injectivity of
Maps
Brian A. Coomes
[ PDF ] - 545
A Class of Global Smooth Solutions of the
One Dimensional Gas Dynamics System
Yanchun Zhao
[ PDF ] - 546
Some Qualitative Properties of
Systems of Conservation Laws of Mixed Type
H. Holden, L. Holden and N.H. Risebro
[ PDF ] - 547
Dynamics of Measured Valued Solutions to a
Backward-Forward Heat Equation
M. Slemrod
[ PDF ] - 548
Steady States of Austenitic-Martensitic-Domains
in the Ginzburg-Landau Theory of Shape Memory Alloys
Avner Friedman and Jürgen Sprekels
[ PDF ] - 549
Degenerate Hamilton-Jacobi-Bellman Equations
in a Bounded Domain
Avner Friedman and Bei Hu
[ PDF ] - 550
Families of Orthogonal and Biorthogonal Polynomials
on the N-Sphere
E.G. Kalnins, Willard Miller, Jr., and M.V. Tratnik
[ PDF ] - 551
On Compact Linear Degeneracy
Heinrich Freistühler
[ PDF ] - 552
Quantifying the Concepts of Rate and Acceleration/Deceleration
of Aging
Matthew Witten
[ PDF ] - 553
Total Positivity and the Stability of Internal
Waves in Stratified Fluids of Finite Depth
J.P. Albert and J.L. Bona
[ PDF ] - 554
Linearization of Polynomial Flows and Spectra
of Derivations
Brian Coomes and Victor Zurkowski
[ PDF ] - 555
A Couette-Poiseuille Flow of Two Fluids in
a Channel
Yuriko Renardy
[ PDF ] - 556
Short wave instabilities resulting from memory
slip
Michael Renardy
[ PDF ] - 557
Stokes' first problem for linear viscoelastic
fluids with finite memory
Daniel D. Joseph and Michael Renardy
[ PDF ] - 558
Superlinear Conservation Law with Viscosity
Xiaxi Ding
[ PDF ] - 559
Liquid Crystals with Variable Degree of Orientation
J.L. Ericksen
[ PDF ] - 560
Electro-Optic Modulation in an Arbitrary Cross-Section
Waveguide
F. Robert Ore, Jr. and Xinfu Chen
[ PDF ] - 561
Multivariable biorthogonal continuous-discrete
Wilson and Racah polynomials
M.V. Tratnik
[ PDF ] - 562
Existence of Solutions for a Generalized Yang-Mills
Theory
Yisong Yang
[ PDF ] - 563
Good and Bad Radii of Convex Polygons
Peter Gritzmann, Laurent Habsieger and Victor Klee
[ PDF ] - 564
Time-Reversibility and Particle Sedimentation
Martin Golubitsky, Martin Krupa and Chjan. C. Lim
[ PDF ] - 565
Recent Progress in Parallel Stochastic Approximations
G. Yin
[ PDF ] - 566
On H-Valued SA: Finite Dimensional Approximations
G. Yin
[ PDF ] - 567
Accurate Evaluation of the Effect of Diffusion
and Conductivity in Certain Equations
Chien-Cheng Chang
[ PDF ] - 568
The Effect of Viscous Diffusion in Discrete
Vortex Dynamics for Slightly Viscous Flows
Chien-Cheng Chang and Ruey-Ling Chern
[ PDF ] - 569
Global Existence of Classical Solutions to
the Typical Free Boundary Problem for General Quasilinear
Hyperbolic Systems and its Applications
Li Ta-tsien (Li Da-qian) and Zhao Yan-Chun
[ PDF ] - 570
The Structure of Solutions to the Pseudo-Conformally
Invariant Nonlinear Schrödinger Equation
Thierry Cazenave and Fred B. Weissler
[ PDF ] - 571
A Limiting Viscosity Approach for the Riemann
Problem in Isentropic Gas Dynamics
Marshall Slemrod and Athanasios E. Tzavaras
[ PDF ] - 572
The Formation of Filamentary Voids in Solids
Richard D. James and Scott J. Spector
[ PDF ] - 573
On the Geometry of Semi-Linear Hyperbolic
Partial Differential Equations in the Plane Integrable by
the Method of Darboux
P.J. Vassiliou
[ PDF ] - 574
Nonlinear Optics
Jerome V. Moloney and Alan C. Newell
[ PDF ] - 575
A Note on Solutions for the Intrinsic Generalized
Wave and Sine-Gordon Equations
Keti Tenenblat
[ PDF ] - 576
Heteroclinic Orbits in Singularly Perturbed
Differential Equations
P. Szmolyan
[ PDF ] - 577
A Parabolic System Arising In Film Development
Wenxiong Liu
[ PDF ] - 578
Temporal Asymptotic Behavior of Solutions
of the Benjamin-Ono-Burgers Equation
Daniel B. Dix
[ PDF ] - 579
On the nature of boundary conditions for flows
with moving free surfaces
Michael Renardy and Yuriko Renardy
[ PDF ] - 580
Robust Statistics: From an Intellectual Game
to a Consumer Product
Werner A. Stahel
[ PDF ] - 581
The Stefan Problem with Small Surface Tension
Avner Friedman and Fernando Reitich
[ PDF ] - 582
Separation of Variables Methods for Systems
of Differential Equations in Mathematical Physics
E.G. Kalnins and W. Miller, Jr.
[ PDF ] - 583
The Construction of Inertial Manifolds for
Reaction-Diffusion Equations by Elliptic Regularization
Mitchell Luskin and George R. Sell
[ PDF ] - 584
Dynamic Phase Transitions: A Connection Matrix
Approach
Konstantin Mischaikow
[ PDF ] - 585
A Global Asymptotic Expansion for the Solution
to the Generalized Riemann Problem
Philippe Le Floch and Li Ta-tsien
[ PDF ] - 586
Computational Biology: An Overview
Matthew Witten
[ PDF ] - 587
Peering Inside Living Systems: Physiology
in a Supercomputer
Matthew Witten
[ PDF ] - 588
An existence theorem for model equations resulting
from kinetic theories of polymer solutions
Michael Renardy
[ PDF ] - 589
Reviews of Modern Physics: Addendum to the
Paper ``Heat Waves''
Daniel D. Joseph and Luigi Preziosi
[ PDF ] - 590
An Invariance Property for the Propagation
of Heat and Shear Waves
Luigi Preziosi
[ PDF ] - 591
Sequencing of Experiments for Linear and Quadratic
Time Effects
Gregory M. Constantine and John Bryant
[ PDF ] - 592
On the Computation of the Beltrami Equation
in the Complex Plane
Prabir Daripa
[ PDF ] - 593
Shock Waves for Nonlinear Hyperbolic Systems
in Nonconservative Form
Philippe Le Floch
[ PDF ] - 594
On the Complexity of Pattern Recognition Algorithms
On a Tree-Structured Parallel Computer
A.L. Gorin, D.B. Roe and A.G. Greenberg
[ PDF ] - 595
Numerical computation and continuation of
invariant manifolds connecting fixed points
Mark J. Friedman and Eusebius J. Doedel
[ PDF ] - 596
Linear Deformations as Global Minimizers in
Nonlinear Elasticity
Scott J. Spector
[ PDF ] - 597
Richness and the classification of quasilinear
hyperbolic systems
Denis Serre
[ PDF ] - 598
On the stability of the shearing flow between
pipes
L. Preziosi and F. Rosso
[ PDF ]
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