K. Saxton, R. Saxton,
Phase transitions and change of type in low temperature heat propagation,
SIAM Journal on Applied Mathematics, 66, 2006, 1689 - 1702 .
H. Li, K. Saxton, Asymptotic behavior
of solutions to quasilinear
hyperbolic equations with nonlinear damping, Quart. Appl. Math.,
61, 2003, 295 - 313.
K. Saxton, R. Saxton, Some effects of phase transitions on heat
propagation, Arch. Mech., 54, 2002, 635 - 646.
K. Saxton, R. Saxton, Nonlinearity and memory effects in low
temperature heat propagation, Arch. Mech., 52, 2000, 127-142.
J. Bona, K. Saxton, R. Saxton, (Eds.) "Nonlinear PDE's, Dynamics
and Continuum Physics", Contemporary Mathematics, 2000.
K. Saxton, R. Saxton, W. Kosinski, On second sound at the critical
temperature, Quart. Appl. Math., 57, 1999, 723 - 740.
W. Kosinski. K. Saxton, R. Saxton, Second sound in a crystal of NaF
at low temperature, Arch. Mech., 49, 1997, 189 -196.
K. Saxton, Global existence and singularity formation in solutions
of a modified Fourier law, Quart. Appl. Math., 54, 1996,697-707.
K. Saxton, Global existence for a quasilinear heat equation, in
"Recent Developments in Evolution Equations", Pitman Research
Notes in Mathematics Series. A. C. McBride, G. F. Roach
eds., Longman Scientific ∓ Technical, 1995, 231-238.
K. Saxton, Singularity formation in smooth solutions for a modified
Fourier law, in "Evolution Equations", Lectures Notes in
Pure and Applied Mathematics, G.Ferreyra, G.Goldstein,
F.Neubrander eds., Marcel Dekker, 168, 1994, 375-382.
W. Kosinski, K. Saxton, The effect on finite time breakdown due to
modified Fourier laws, Quart. Appl. Math., 51, 1993, 55-68.
V. A. Cimmelli, W. Kosinski, K. Saxton, Modified Fourier law -
comparison of two approaches, Arch. Mech., 44, 1992, 409-425.
V. A. Cimmelli, W. Kosinski, K. Saxton, A new approach to the
theory of heat conduction with finite wave speeds, Proceedings of
the the VI International Conference on Waves and Stability in
Continuous Media, S. Rionero, G. Mulone, F. Salemi eds., XLVI, 1991,
95-105.
W. Kosinski, K. Saxton, Weak discontinuity waves in materials with
semi- empirical temperature scale, Arch. Mech., 43, 1991, 547-559.
Teaching
Fall 2006: Math A115 - 002, MWF 9:30 - 10:20
Math A115 - 003, MWF 10:30 - 11:20
Office Hours: Monday 12:30 - 1:30 pm, Wednesday 2:00 - 3:00 pm, other office hours by appointment.
Fields Institute for Research in the Mathematical Sciences
Meetings and ConferencesJoint Summer Research Conferences in the Mathematical Sciences
Nonlinear PDE's, Dynamics and Continuum Physics
IMU - International Mathematical Union
Mathematics Information Servers
Conservation Laws Preprint Serverxxx.lanl.gov e-Print archive
The EMS Home PageSpringer LINK - Mathematics Online Library
Archive forRational Mechanics and Analysis - Contents
Nonlinear Differential Equations and Applications
Electronic Access to the SIAM Journal on Applied Mathematics
Electronic Access to the SIAM Journal on Mathematical Analysis
Electronic Library of Mathematics
Calculus of Variations and Partial Differential Equations - Contents
Regular and Chaotic Dynamics Home Page
Communications in Analysis and Geometry
Communications in Mathematical Physics - Contents
Continuum Mechanics and Thermodynamics - Contents
The Asian Journal of MathematicsMethods and Applications of Analysis
Potential Analysis Volume ∓ Issue Summary
Russian Journal of Mathematical Physics