Accession Number : ADA300031

Title :   Advanced Computations and Modeling for Nonlinear and Stochastic Waves.

Descriptive Note : Final rept.,

Corporate Author : STATE UNIV OF NEW YORK AT STONY BROOK DEPT OF APPLIED MATHEMATICS AND STATISTI CS

Personal Author(s) : Glimm, James ; Grove, John W.

PDF Url : ADA300031

Report Date : 09 AUG 1995

Pagination or Media Count : 24

Abstract : The goal of this project was to address basic nonlinear problems in the modeling of physical systems with engineering relevance. Nonlinear conservation laws were chosen for study because these differential equations are basic to many applications. We also studied stochastic issues, as they are often of great importance in nonlinear modeling of physical phenomena. In these studies, we used mathematical theory, first principle computations and analysis of experimental and field data. Motivating applications of our work included, inertial confinement fusion, shock and gravity induced fluid mixing, fluid jet breakup, ground water flows, petroleum reservoir modeling, and high velocity impacts. Additional applications included vehicle signature identification (radar cross sections ) advanced manufacturing technology, pharmacology and drug activity through protein-DNA binding studies, and remediation of environmentally polluted facilities.

Descriptors :   *MATHEMATICAL MODELS, *STOCHASTIC PROCESSES, *NONLINEAR SYSTEMS, *NUMERICAL METHODS AND PROCEDURES, PLASTIC DEFORMATION, STRESS STRAIN RELATIONS, ALGORITHMS, WATER FLOW, COMPUTATIONS, CHAOS, SHOCK WAVES, GAS DYNAMICS, GROUND WATER, WATER POLLUTION, COMPRESSIBLE FLOW, BUBBLES, PERTURBATION THEORY, GRAVITY, MIXING, EULER EQUATIONS, NORMALIZING(STATISTICS), APPLIED MATHEMATICS, INSTABILITY, RESERVOIRS, ELASTOPLASTICITY, GROUPS(MATHEMATICS).

Subject Categories : Operations Research
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE