Applications of mathematical analysis of nonlinear physical systems
This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). In this project we have sought to acquire the basic theoretical and computational capabilities needed to advance our understanding of the physical sciences. We concentrated on physical systems governed by transport equations. Transport equations were chosen because they govern many critical technologies. They govern the flow of carriers in semiconductors, the dynamics of nuclear reactors, the transport of radiation in fusion experiments, and even the probability densities of stochastic equations. Besides being important in its own right, this research serves as an important paradigm for using computers to solve other key scientific problems. Transport problems are often characterized by mean free paths that are short compared to the other critical length scales of the system. We exploit this feature to both simplify the solution of transport equations and to gain insights into the results. To explore industrial applications of the science developed in this project, a workshop was sponsored highlighting eight to ten problems from industry. Promising research avenues were uncovered that might lead to potential collaborations with industry.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 258142
- Report Number(s):
- LA-UR-96-2258; ON: DE96012854; TRN: 96:004095
- Resource Relation:
- Other Information: PBD: [1996]
- Country of Publication:
- United States
- Language:
- English
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