Mathematics in Industrial Problems Part 4
This is the fourth volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots"; that is, at the level of spe cific problems. These problems come from Industry: they a...
Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
1991, 1991
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Edition: | 1st ed. 1991 |
Series: | The IMA Volumes in Mathematics and its Applications
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 11.1 Motivation
- 11.2 Scaling
- 11.3 Moderate force
- 11.4 Strong force
- 11.5 The semiconductor case
- 11.6 Open problems
- 11.7 References
- 12 Structured singular values and invariant theory
- 12.1 FDLTI systems
- 12.2 Feedback under parametric uncertainty
- 12.3 Structured singular value
- 12.4 A new approach
- 12.5 Open problems
- 12.6 References
- 13 Signal design with an amplitude constraint
- 13.1 Lp/Lq signal design
- 13.2 Necessary optimality condition
- 13.3 The fixed-point problem
- 13.4 Open problems
- 13.5 References
- 14 Head-disk interface in magnetic storage device
- 14.1 Modified Reynolds equation
- 14.2 Free molecular flow
- 14.3 The limiting process as h?0
- 14.4 References
- 15 Parameter identification in a reaction diffusion model
- 15.1 The direct problem
- 15.2 The inverse problem
- 15.3 Modification of the model
- 15.4 A related problem
- 15.5 Existence and uniqueness
- 15.6 References
- 16 Linear analysis of megastructures
- 1 Real-world free boundary problems
- 1.1 Hypersonic flow
- 1.2 Problems with free boundaries close to fixed boundaries
- 1.3 Free boundary problems in superconductors
- 1.4 Elastic contact
- 1.5 Partial solution
- 1.6 References
- 2 Terminally attached polymer chains
- 2.1 Experiments and the MWC model
- 2.2 The SCF theory
- 2.3 Numerical results
- 2.4 Mathematical problems
- 2.5 References
- 3 Orientation of colloidal magnetically switchable particles
- 3.1 Ferrohydrodynamics
- 3.2 A statistical mechanics approach
- 3.3 References
- 4 Information, probability and learning from examples
- 4.1 Learning from examples
- 4.2 Simple geometric examples
- 4.3 The Vapnik and Chervonenkis theory
- 4.4 References
- 5 An augmented drift-diffusion formulation in semiconductor devices
- 5.1 Semiconductor device modeling
- 5.2 The augmented drift-diffusion model
- 5.3 Mathematical issues
- 5.4 Partial solution
- 5.5 References
- 16.1 The three bar truss
- 16.2 The hypercircle method
- 16.3 References
- 17 Aerodynamic design with cfd
- 17.1 Vehicle drag
- 17.2 Governing equations
- 17.3 Simplifications
- 17.4 Research areas
- 17.5 References
- 18 Experimental design and quality loss function
- 18.1 Experimental design
- 18.2 Motivation
- 18.3 Sampling
- 18.4 The quality loss function
- 18.5 References
- 19 Numerical simulations for industrial chemical research
- 19.1 Computational approach to chemical research
- 19.2 Theoretical concepts
- 19.3 Requirements for atomistic computations
- 19.4 References
- 20 An adaptive feedforward approach to robot control
- 20.1 Mathematical model
- 20.2 Nonlinear feedforward
- 20.3 Path planning
- 20.4 Mathematicalissues
- 20.5 References
- 21 Solutions to problems from part 3
- 21.1 References
- 6 Analytical and heuristic modeling of distributed algorithms
- 6.1 Examples and terminology
- 6.2 Analytic results
- 6.3 Markov mode for search tree
- 6.4 Search with multiprocessor
- 6.5 References
- 7 Modeling catalytic converter performance
- 7.1 Chemical reactions
- 7.2 The differential equations
- 7.3 Numerical approach
- 7.4 Control problems
- 7.5 References
- 8 A model for titanium silicide film growth
- 8.1 Description of the process
- 8.2 A model with interfaces
- 8.3 A two-dimensional model
- 8.4 References
- 9 A three-state model for gel electrophoresis
- 9.1 Polymer reptation and the repton model
- 9.2 A biased repton model
- 9.3 Mapping into a discrete pseudospin model
- 9.4 Mean field approximation
- 9.5 Open problems
- 9.6 References
- 10 A limited coalescence problem
- 10.1 The model
- 10.2 Asymptotic distribution
- 10.3 The Monte Carlo method
- 10.4 Mathematical results
- 10.5 References
- 11 High field semiconductor equations