Applied and Industrial Mathematics: Venice - 1, 1989

ISBN-13: 9780792305217 / Angielski / Twarda / 1990 / 374 str.

Renato Spigler

Opis

'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point all."' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Hea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Spis treści

I: Invited Papers.- - C. Cercignani, “Physical Problems and Rigorous Results in Kinetic Theory.- - A. Chorin, “Statistical Mechanics of Vortex Filaments” (abstract).- - Feng Kang, “The Hamiltonian Way for Computing Hamiltonian Dynamics”.- - C. W. Gear (with Fen-Lien Juang), “The Speed of Waveform Methods for ODEs”.- - J. B. Keller, “Diffusively Coupled Dynamical Systems”.- - P. D. Lax, “Deterministic Turbulence” (extended abstract).- - J. L. Lions, “Exact Controllability for Distributed Systems. Some Trends and Some Problems”.- - V. P. Maslov, “Beginning of Weakly Anisotropic Turbulence”.- - S. K. Mitter, “Markov Random Fields, Stochastic Quantization and Image Analysis”.- - H. Neunzert (with F. Gropengießer and J. Struckmeier),. “Computational Methods for the Boltzmann equation”.- - J. R. Ockendon, “A Class of Moving Boundary Problems Arising in Industry”.- - M. Primicerio, “Systems with Non-Fading Memory Encountered in the Modellization of Industrial Problems”.- - M. Pulvirenti, “A Stochastic Particle System Modelling the Broadwell Equation”.- -A. Quarteroni “(with A. Valli), “Theory and Application of Steklov-Poincare Operators for Boundary-Value Problems”.- - S. Rionero (with B. Straughan), “On the Problem of Natural Convection”.- II: Selected Contributed Papers.- 1. Mathematical Modelling in Fluid Mechanics.- - J. A. Nohel, “Non-Newtonian Phenomena in Shear Flow”.- - O. Pironneau (with C. Bernardi, M. O. Bristeau and M. G. Vallet), “Numerical Analysis for Compressible Viscous Isothermal Stationary Flows”.- - E. G. Virga (with D. Roccato), “Drops of Nematic Liquid Crystal Floating on a Fluid”.- 2. Nonlinear waves.- - S. Venakides, “The Korteweg-de Vries Equation with Small Dispersion: Higher Order Lax-Levermore Theory”.- - P. L. Christiansen, “Solitons in Optical Fibres”.- 3. Wave Propagation in Random Media.- - R. Burridge, “Waves in Finely Layered Media”.- - B. S. White (with Balan Nair), “Stochastic Geometry and the Intensity of Random Waves”.- - V. I. Klyatskin, “Plane Waves in Layered Random Media. The Role of Boundary Conditions”.- 4. Transport Phenomena.- - P. A. Markowich (with A. Arnold), “Quantum Transport Models for Semiconductors”.- - G. C. Pomraning, “Particle Transport in Random Media”.- 5. Inverse Problems in the Applied Sciences.- - G. Alessandrini, “Determining Conductivity by Boundary Measurements, the Stability Issue”.- - G. Caviglia (with A. Morro), “Scattering Problems for Acoustic Waves”.- - W.L. Dunn (with A. M. Yacout and F. O’Foghludha), “The Use of Single-Scatter Models in Medical Radiation Applications”.- 6. Mathematical Modelling of Industrial Problems.- - Li Tatsien (with Tan Yongji, Pen Yuejun and Li Hailong)“Mathematical Methods for the SP Well-Logging”.- - C.D. Hill (with P. Susskind and V. Giambalvo), “Effective Computation of the Symmetric Lens”.- - L. Brusa, “Mathematical Modelling of Structural Industrial Problems: Methodologies and Algorithms”.- Author Index.