Mathematics in Industrial Problems

1. Front Matter

   Pages i-xii

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2. Signal design problems in multi-channel data communication

   • Avner Friedman

   Pages 1-10

3. Solitons in non-homogeneous medium

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   Pages 11-22

4. Foam rheology

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   Pages 23-28

5. Applications of large deviations to communications

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   Pages 29-40

6. Phase modulation in nonlinear optical medium

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   Pages 41-48

7. Multiple solutions in semiconductor device modeling

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   Pages 49-64

8. Mathematical models for thermal imaging-an heuristic approach

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   Pages 65-70

9. Graph spectra, connectivity, and spin glass models of associative memory

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   Pages 71-78

10. Mathematical problems in electron beam lithography

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    Pages 79-87

11. A reaction—diffusion model of color negative film development

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    Pages 88-98

12. An inverse problem arising in the evolution of combustion aerosols

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    Pages 99-106

13. Adaptive focused beamforming

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    Pages 107-117

14. Optimal switching between a pair of Brownian motions

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    Pages 118-127

15. Mathematical models of latent image formation

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    Pages 128-136

16. Modeling problems in magneto-optic recording

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    Pages 137-144

17. Shaped charge jets and subsonic free-surface flow theory

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    Pages 145-155

18. Electrophotographic system models

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    Pages 156-166

19. Fluid models and other asymptotic limits with data and teletraffic applications

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    Pages 167-174

20. Solutions to problems from volume 1

    • Avner Friedman

    Pages 175-181

This is the second volume in the series "Mathematics in Industrial Prob­ lems." The motivation for both volumes is to foster inter action 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 venture 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 literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated brießy. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.

• Absorption
• Monte Carlo method
• Potential
• communication
• laser
• system

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

  Avner Friedman

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