Oregon State University
Mathematics Department
363 Kidder Hall
Corvallis, Oregon 97331-4605
USA
office: (541) 737-5137
fax: (541) 737-0517
email: guenth@math.orst.edu
I am a professor of mathematics. My main interests are mathematically modeling deterministic systems and the ordinary and partial differential equations which arise from these models. The models I have mainly dealt with arise in modeling underground phenomena, particularly the flow of fluids in a porous medium and biodegradation, free boundary value problems and change of phase, and fluid mechanics. I am also interested in chaotic dynamical systems and systems far from equilibrium. I am an applied mathematician.
On the strictly physical side, I am interested in continuum mechanics as well as classical mechanics.
On the pure mathematics side, I am interested in topological methods in nonlinear boundary value problems for differential equations and differential inclusions. This involves the derivation of a prior bounds and applying fix point theory.
In the past, I have been interested in numerical analysis and mathematical tomography. Although I no longer work in those areas, I am still interested in the developments in the field.
In general I am interested in most areas os mathematics. Among my mathematical hobbies is the history of mathematics and science. I am also interested in basic physical principles, particularly in the macroscopic world. But I enjoy most applying mathematics to problems in engineering.
B.A. in Mathematics, Oregon State University, June 1959
M.A. in Mathematics, Oregon State University, June 1962
Exchange Scholar, Technische Hochschule Aachen, Germany, 1962-63
Ph.D. in Mathematics, University of Colorado, August 1964
Thesis: On Positive Solutions of Parabolic Equations
Fulbright Scholar, Universitat Hamburg, Germany, 1959-60
DAAD Scholar, Technische Universitat Aachen, Aachen, Germany, 1962-63
EMPLOYMENT
Oregon State University
Professor of Matheamtics, 1976 - present
Associate Professor of Mathematics, 1969-1976
Assistant Professor of Mathematics, 1966-1969
Rockwell-Hanford Operations, Richland, WA, 1983-1988
Visiting Professor, Universitat Augsburg, Fall 1988
Hahn-Meitner Institut, Berlin, Germany, Summer 1978 and 1981
Universite de Montreal, Summer 1977 and 1979
Universitat Hamburg, Visiting Professor and Alexander von Humboldt Stiftung Fellow, 1970-1971, 1973-1974
Research Mathematician, Marathon Oil Company, Denver, CO
1964-66, summers of 1967, 1968, 1969, 1971.
PROFESSIONAL SOCIETIES
Society for Industrial and Applied Mathematics
American Geophysical Union
Oregon Academy of Science
International Federation of Nonlinear Analysis
F.A. Gilfillan Award for Distinguished Scholarship in Science,
Oregon State University, College of Science Award, presented September 1995.
Alexander von Humboldt Stiftung Fellow 1970-1971, 1973-1974.
SELECTED PUBLICATIONS
Representation Theorems for Linear, Second Order Parabolic Partial Differential
Equations. Journal of Mathematical Physical and Applications, 17(3)(1967), 488-501.
Uniqueness Theorems for Higher Order Parabolic Equations.
Rendiconti del Circolo Matematico di Palermo, 18(1969), 81-90.
A Free Boundary Value Problem and an Extension of Muskat's Model.
Acta Mathematica, 122(1969), 273-300 (with W. Fulks).
Equations of Motion and Continuity for Fluid Flow in a Porous Medium.
Acta Mechanica, 12(1971), 121-129 (with W. Fulks and E.L. Roetman).
Numerical Solutions of a Free Boundary Value Problem for Parabolic Equations.
Jour. Applicable Anal., 4(1974), 39-62 (with W. Fulks).
Reconstruction of Objects from Radiographs and the Location of Brain Tumors.
Natl. Acad. Sci. U.S.A., 71(12)(1974), 4884-4886
(with C.W. Kerber, E.K. Kilian, K.T. Smith, and S.L. Wagner).
Remarks on the Flow of Non-Newtonian Fluids in a Porous Medium.
Zeitschrift Fur Angew. Math. und Mech., 55(1975), 188-1903.
On a Theorem of S. Bernstein. Pacific Journal of Math.,
74(1978), 67-81 (with A. Granas and J.W. Lee).
Remarks on Parameter Identification. I. Numberische Mathematik,
47(1985), 355-361 (with R. Hudspeth, W. McDougal, and J. Gerlach).
Free Boundary Problems Arising in the Freezing of Soils in a Bounded Region.
I. The Mathematical Formulation of the Physical Problem. Journal of Mathematical
Analysis and Applications, III (1985), 1-13 (with F.A. Mohamed).
Free Boundary Problems Arising in the Freezing of Soils in a Bounded Region.
II. Analytical Treatment of the Nonlinear Parabolic Free Boundary Problem.
Journal of Mathematical Analysis and Applications, III (1985), 475-512 (with F.A. Mohamed).
Boundary Value Problems on Infinite Intervals and Semiconductor Devices.
Mathematical Analysis and Applications, 116(2)(1986),
335-348 (with A. Granas, J.W. Lee, and D. O'Regan).
Remarks on Parameter Identification II. Convergence of the Algorithm.
Numerische Mathematik, 5191987), 3-9 (with J. Gerlach).
Well Response Tests: II. The Numerical Solution. Inverse Problems,
3(1987), 407-419 (with E. Lundy and F.A. Mohamed).
A Free Boundary Problem for Water Invading an Unsaturated Medium.
Computing, 38(1987), 185-207 (with A. Kharab).
Some General Existence Principles in the Carathedory Theory of Nonlinear Differential Systems.
J. Math. Pures et Appl., 70(1991), 153-196 (with A. Granas and J.W. Lee).
Scaling Thermal Effects in Radial Flow. Advances in Water Resources
15(2)(1992), 107-116 (with R.T. Hudspeth and W.G. McDougal).
A Damped Wave Equation for Groundwater Flow. Advances in Water Resources
15(2)(1992), 117-123 (with F.A. Mohamed, R.T. Hudspeth, and W.G. McDougal).
Parameter Identification in Radial Flow. Advances in Water Resources
14(5)(1991), 240-251 (with R.T. Hudspeth, K.L. Roley, and W.G. McDougal).
Some Existence Results for Nonlinear Integral Equations Via Topological Transversality.
Journal for Integral Equations and Applications 5(1993), 195-209 (with J.W. Lee).
An Analytical Solution to the Solute Transport Equation with Rate-Limited Desorption and Decay.
Water Resources Research 29(9)(1993), 3201-3208 (with V.A. Fry and J.D. Istok).
Boundary Value Problems with Discontinuities in the Spatial Variable.
Journal of Mathematical Analysis and Applications 193(1995), 296-305, (with M. Senkyrik).
A Cometabolic Kinetics Model Incorporating Enzyme Inhibition, Inactivation, and Recovery:
1. Model development, analysis, and testing. Biotechnology and Bioengineering
46(1995), 218-231 (with R.L. Ely, K.J. Wiliamson, M.R. Hyman, and D.J. Arp).
A Cometabolic Kinetics Model Incorporating Enzyme Inhibition, Inactivation, and Recovery:
2. Trichloroethylene Degradation Experiments. biotechnology and Bioengineering
46(1995), 232-245 (with R.L. Ely, K.J. Wiliamson, M.R. Hyman, and D.J. Arp).
A Numerical Solution to a Free Surface Wave Problem,
Topological Methods in Nonlinear Analysis, 6(2)(1995), 399-416
Partial Differential Equations of Mathematical Physics and Integral Equations.
Prentice Hall Inc., Ingelwood Cliffs, N.J., 544 pages, (1988) (with J.W. Lee).
Nonlinear Boundary Value Problems for Ordinary Differential Equations, Dissertationes Mathematicae,
vol. CCXLIV, Warsaw, Poland, 1985, 128 pages (with A. Granas and J.W. Lee).
Vorlesungen uber die Mechanik der Kontinua, BSB B.G. Teubner Verlagsgesellschaft,
Leipzig, 1985, 251 pages (with G. Herglotz and H. Schwerdtfeger).
Problemes aux Limites non Lineaires pour Certaines Classes d'Equations Differentielles Ordinaires,
Les Presses de l'Universite Montreal, NATO Advanced Study Institute, Montreal, 1985.
Lecture Notes in Nonlinear Analysis, Vol.1, Juliesz Schauder Center for Nonlinear Studies,
Nicholas Copemius University, Torun, Poland, 1996.
Gustav Herglotz: Gesammelte Schriften, (with P. Bergman, S.S.Chern, C. Muller, Th. Schneider, H. Wittich,
Chief Editor H. Schvertfeger). Akademie der Wissenschaften in Gottingen, Vanderhoech and Ruprecht, 1979.
Optimization and Approximation by W. Krabs,
John Wiley and Sons, 1979 (with P.M. Anselone).
German, Italian - fluent
Russian, French, Dutch - reading knowledge