Loyola University
Department of Mathematical Sciences
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Selected Publications
K. Saxton, R. Saxton,
On the influence of damping in hyperbolic equations with parabolic degeneracy, Quart. Appl. Math. (to appear)
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.
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.
