D.H. Sattinger's Home Page
Professor Sattinger obtained his
PhD under Norman Levinson at M.I.T. in 1965. He has held positions on the
mathematics faculties at UCLA, the University of Minnesota, and Yale
University. His research includes topics in stability and bifurcation theory,
nonlinear partial differential equations, nonlinear waves, and integrable
systems. Now retired, he is an Associate member of the mathematics faculty at
the University of Arizona, and a docent at Kitt Peak National Observatory and
the Steward Observatory Mirror Lab. His current research interests include
history of astronomy, and nonlinear partial differential equations in cosmology
and relativity.
E-mail address: dsattinger@math.arizona.edu
Selected Publications
Stability
and Bifurcation Theory
Benard
Convection cells, from Benard’s original experiments, ca. 1900
E.L.
Koschmieder, Benard Cells and Taylor Vortices, Cambridge
University Press
The Mathematical
Problem of Hydrodynamic Stability J. Mathematics and Mechanics, vol 19, 1970.
Stability of Bifurcating
Solutions by Leray-Schauder Degree Archive for Rational Mechanics and Analysis. 1971
Bifurcation of Time
Periodic Solutions and their Stability with D.D. Joseph, Archive for Rational Mechanics and
Analysis, 1972.
Group Representation Theory,
Bifurcation Theory, and Pattern Formation Journal of Functional Analysis, vol 28, 1978.
Bifurcation from
Rotationally Invariant States J. Math. Phys., vol 19, 1978.
Integrable
Systems
On the Complete
Integrability of Completely Integrable Systems with R. Beals. Communications in Mathematical Physics,
vol 138, 1991.
Acoustic Scattering and
the Extended KdV Hierarchy.
with R. Beals and J. Szmigielski. Advances in Mathematics, vol 140,
1998.
Multipeakons and the
Classical Moment Problem.
with R. Beals and J. Szmigielski. Advances in Mathematics, vol 154,
2000.
Peakons, Strings, and the
Finite Toda Lattice with R. Beals and J. Szmigielski.
Communications in Pure and Applied Mathematics, vol 54, 2001.
Calogero-Francoise
Flows and Periodic Peakons
with R. Beals and J. Szmigielski. Theoretical and Mathematical Physics,
vol 133, 2002.
Continued Fractions
and Integrable Systems, with R. Beals and J. Szmigielski. Journal of
Computational and Applied Mathematics, vol 153, 2003.
Nonlinear
Partial Differential Equations
On the Total Variation of
Solutions of Parabolic Equations, Mathematische Annalen. Vol 183, 1969
On Global Solutions of
Nonlinear Hyperbolic Equations. Archive for Rational Mechanics and Analysis, vol 30, 1968
Monotone Methods in
Nonlinear Elliptic and Parabolic Boundary Value Problems Indiana University Mathematics
Journal, vol 21, 1972
On the Free Surface of a
Viscous Fluid Motion
Proceedings of the Royal Society of London, Series A, vol 349, 1976.
Nonlinear
Waves
