1st Edition
Introduction to the Potential Theory for the Time-Dependent Stokes System
Part 1: Background 1. Kinematics 2. Material Dynamics 3. Density and Stress 4. Recapitulation, Vorticity, Initial and Boundary Conditions 5. Scaling and Linearization Part 2: Stokes and Oseen Systems - Initial Value Problems 6. The Three-Dimensional Fundamental Solutions 7. The Two-Dimensional Fundamental Solutions 8. The Cauchy problem for the time dependent Stokes and Oseen systems 9. The Existence and Uniqueness of Solutions to the Cauchy Problem Part 3: Boundary Value Problems 10. Uniqueness Theory 11. Outline Recalling Classical Potential Theory 12. Boundary Value Problems for the Unsteady Stokes Equations 13. The Half Space Problem for the Dirichlet Problem 14. The Half Space Problem for the Neumann Problem Part 4: Compressible Fluids 15. Compressible Liquids 16. Temperature Dependent, Compressible Fluids
Biography
Ronald B. Guenther is an emeritus professor in the Department of Math-ematics at Oregon State University. His career began at the Marathon Oil Company where he served as an advanced research mathematician at its Den-ver Research Center. Most of his career was spent at Oregon State University, with visiting professorships at the Universities of Hamburg and Augsburg, and appointments at research laboratories in the United States and Canada, and at the Hahn-Meitner and Weierstrass Institutes in Berlin. His research inter-ests include mathematically modeling deterministic systems and the ordinary and partial differential equations that arise from these models.
Ernest Roetman (1936 - 2023) earned his Ph.D. in applied mathematics from Oregon State University in 1963. After a post doc at the University of Aachen, Germany, he took a position at Bell Labs. He began his academic ca-reer at Stevens Institute of Technology, New Jersey. Subsequently, he moved to the University of Missouri in Columbia, Missouri, with brief visiting positions at the University of Aachen, Germany, Oregon State University in Corvallis, Oregon, and the Marathon Oil Co. Research Center in Denver, Colorado. In 1980 he joined the Boeing Co. in Seattle, Washington as a researcher and manager. He retired from Boeing in 2003. He then taught mathematics and engineering courses at Henry Cogswell College, Everett, Washington until his final retirement in 2006.
