Nonlinear Problems: Present and Future

Content: 
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Page ii

Copyright page
Page iii

Preface
Pages v-vi
A.R. Bishop, D.K. Campbell, B. Nicolaenko

Dedication
Page vii

Optimal Control of Non Well Posed Distributed Systems and Related Non Linear Partial Differential Equations Original Research Article
Pages 3-16
Jacques-Louis Lions

Compactness and Topological Methods for some Nonlinear Variational Problems of Mathematical Physics Original Research Article
Pages 17-34
Pierre L. Lions

On Yang-Mills Fields Original Research Article
Pages 35-50
I.M. Singer

Gauge Theories for Soliton Problems Original Research Article
Pages 51-64
D.H. Sattinger

The Inverse Monodromy Transform is a Canonical Transformation Original Research Article
Pages 65-89
H. Flaschka, A.C. Newell

Numerical Methods for Nonlinear Differential Equations Original Research Article
Pages 91-107
James M. Hyman

Limit Analysis of Physical Models Original Research Article
Pages 109-115
M. Remond, A. Friaâ, M. Raupp

Viscosity Solutions of Hamilton-Jacobi Equations Original Research Article
Pages 117-125
Michael G. Crandall

Bifurcation of Stationary Vortex Configurations Original Research Article
Pages 127-131
Julian I. Palmore

Exact Invariants for Time-Dependent Nonlinear Hamiltonian Systems Original Research Article
Pages 133-145
H.R. Lewis, P.G.L. Leach

Isolating Integrals in Galactic Dynamics and the Character of Stellar Orbits Original Research Article
Pages 147-155
William I. Newman

Physics in Few Dimensions Original Research Article
Pages 159-167
V.J. Emery

Solution of the Kondo Problem Original Research Article
Pages 169-177
N. Andrei

Kinks of Fractional Charge in Quasi-One-Dimensional Systems Original Research Article
Pages 179-187
J.R. Schrieffer

Theoretically Predicted Drude Absorption by a Conducting Charged Soliton in Doped-Polyacetylene Original Research Article
Pages 189-193
M.J. Rice

Polarons in Polyacetylene Original Research Article
Pages 195-208
Alan R. Bishop, David K. Campbell

Light Scattering and Absorption in Polyacetylene Original Research Article
Pages 209-227
Shahab Etemad, Alan J. Heeger

Quasi Solitons: A Case Study of the Double Sine-Gordon Equations Original Research Article
Pages 229-235
P. Kumar, R.R. Holland

Classical Field Theory with Z(3) Symmetry Original Research Article
Pages 237-244
Herbert M. Ruck

Some Characteristic Nonlinearities of Chemical Reaction Engineering Original Research Article
Pages 247-265
Rutherford Aris

Propagating Fronts in Reactive Media Original Research Article
Pages 267-285
Paul C. Fife

Regularity Results for the Equations of Incompressible Fluids Mechanic at the Brink of Turbulence Original Research Article
Pages 289-315
Claude Bardos

Finite Parameter Approximative Structure of Actual Flows Original Research Article
Pages 317-327
Ciprian Foias, Roger Temam

The Role of Characteristic Boundaries in the Asymptotic Solution of the Navier-Stokes Equations Original Research Article
Pages 329-334
F.A. Howes

Some Approaches to the Turbulence Problem Original Research Article
Pages 335-366
J. Mathieu, D. Jeandel, C.M. Brauner

Instability of Pipe Flow Original Research Article
Pages 367-377
Anthony T. Patera, Steven A. Orszag

Some Formalism and Predictions of the Period-Doubling Onset of Chaos Original Research Article
Pages 379-394
Mitchell J. Feigenbaum

Tricritical Points and Bifurcations in a Quartic Map Original Research Article
Pages 395-402
Shau-Jin Chang, Michael Wortis, Jon A. Wright

Recent Experiments on Convective Turbulence Original Research Article
Pages 403-408
Jerry P. Gollub

Experimental Observations of Complex Dynamics in a Chemical Reaction Original Research Article
Pages 409-422
J.-C. Roux, Jack S. Turner, W.D. McCormick, Harry L. Swinney

Nonlinear Plasma Dynamics Below the Cyclotron Frequency Original Research Article
Pages 423-433
John M. Greene

Turbulence and Self-Consistent Fields in Plasmas Original Research Article
Pages 435-464
D. Pesme, D. DuBois

Self-Focusing Tendencies of the Nonlinear Schrödinger and Zakharov Equations Original Research Article
Pages 465-478
Harvey A. Rose, D.F. Dubois

Chaotic Oscillations in a Simplified model for Langmuir Waves Original Research Article
Pages 479-482
P.K.C. Wang

Index of Contributors
Page 483