Author | Friedman, Avner. author |
---|---|
Title | Mathematics in Industrial Problems [electronic resource] : Part 4 / by Avner Friedman |
Imprint | New York, NY : Springer New York, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9177-7 |
Descript | XIV, 197 p. online resource |
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 -- 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 -- 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 -- 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 Mathematical issues -- 20.5 References -- 21 Solutions to problems from part 3 -- 21.1 References