Name: Katarzyna Saxton, Associate Professor
Affiliation: Department of Mathematics and Computer Science, Loyola University, New Orleans, LA 70118
E-mail: saxton@loyno.edu
Office: Monroe 552
Phone: (504) 865 - 3440


Education
1972 M.Sc., University of Warsaw, Poland
1979 Ph.D., Institute of Fundamental Technological Research, Polish Academy of Sciences
 
Research Interests
Applied mathematics and hyperbolic partial differential equations, continuum thermodynamics.

Selected Publications

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 Conferences

Joint Summer Research Conferences in the Mathematical Sciences

Nonlinear PDE's, Dynamics and Continuum Physics


mailto:saxton@loyno.edu

Math-Net Links

IMU - International Mathematical Union

Mathematics Information Servers

Many Math Links (Vanderbilt)


Conservation Laws Preprint Server
xxx.lanl.gov e-Print archive

mp_arc

MathSciNet

MathSearch

MATH Database

Journal Contents Database


The EMS Home Page

Springer LINK - Mathematics Online Library

Archive forRational Mechanics and Analysis - Contents

Electr. J. Diff. Eqns

Nonlinear Differential Equations and Applications

Electronic Access to the SIAM Journal on Applied Mathematics

Electronic Access to the SIAM Journal on Mathematical Analysis

ZAMP

ERA-AMS Home page

Electronic Library of Mathematics

Journal of Nonlinear Science

Nonlinear Science Today

Annales de l'Institut Fourier

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 Mathematics

Methods and Applications of Analysis

Potential Analysis Volume ∓ Issue Summary

Russian Journal of Mathematical Physics

Périodiques BMI Bordeaux I