Mathematics in Industrial Problems

1. Front Matter

   Pages i-xiv

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2. Real-world free boundary problems

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   Pages 1-17

3. Terminally attached polymer chains

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   Pages 18-30

4. Orientation of colloidal magnetically switchable particles

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   Pages 31-40

5. Information, probability and learning from examples

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   Pages 41-50

6. An augmented drift-diffusion formulation in semiconductor devices

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   Pages 51-59

7. Analytical and heuristic modeling of distributed algorithms

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   Pages 60-69

8. Modeling catalytic converter performance

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   Pages 70-77

9. A model for titanium suicide film growth

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   Pages 78-87

10. A three-state model for gel electrophoresis

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    Pages 88-100

11. A limited coalescence problem

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    Pages 101-107

12. High field semiconductor equations

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    Pages 108-118

13. Structured singular values and invariant theory

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    Pages 119-128

14. Signal design with an amplitude constraint

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    Pages 129-135

15. Head-disk interface in magnetic storage device

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    Pages 136-145

16. Parameter identification in a reaction diffusion model

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    Pages 146-152

17. Linear analysis of megastructures

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    Pages 153-160

18. Aerodynamic design with cfd

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    Pages 161-168

19. Experimental design and quality loss function

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    Pages 169-176

20. Numerical simulations for industrial chemical research

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    Pages 177-185

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 arise from models developed by the industrial scientists in ventures directed at the manufac­ ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap­ ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the third volume, as well as references to papers in which such solutions have been published.

• Automobil
• Invariant
• Simulation
• calculus
• equation
• function
• mathematics
• mechanics
• model
• modeling
• planning
• quality
• robot
• robotics

• Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, USA

  Avner Friedman

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