| [1] |
Patricia Bauman and Yangsuk Ko. Analysis of solutions to the
Lawrence-Doniach system for layered superconductors. SIAM J.
Math. Anal., 37(3):914-940 (electronic), 2005. |
| [2] |
Patricia Bauman, Hala Jadallah, and Daniel Phillips. Classical
solutions to the time-dependent Ginzburg-Landau equations for a
bounded superconducting body in a vacuum. J. Math. Phys.,
46(9):095104, 25, 2005. |
| [3] |
Nelly Andre, Patricia Bauman, and Dan Phillips. Vortex pinning
with bounded fields for the Ginzburg-Landau equation. Ann.
Inst. H. Poincaré Anal. Non Linéaire,
20(4):705-729, 2003. |
| [4] |
P. Bauman, D. Phillips, and Q. Shen. Singular
limits in polymer-stabilized liquid crystals. Proc. Roy. Soc.
Edinburgh Sect. A, 133(1):11-34, 2003. |
| [5] |
Patricia Bauman, M. Carme Calderer, Chun Liu, and Daniel
Phillips. The phase transition between chiral nematic and smectic
A * liquid crystals. Arch. Ration. Mech. Anal.,
165(2):161-186, 2002. |
| [6] |
Patricia Bauman, Antonella Marini, and Vincenzo Nesi. Univalent
solutions of an elliptic system of partial differential equations
arising in homogenization. Indiana Univ. Math. J.,
50(2):747-757, 2001. |
| [7] |
P. Bauman, M. Friesen, and D. Phillips. On the
periodic behavior of solutions to a diffusion problem describing
currents in a high-temperature superconductor. Phys. D,
137(1-2):172-191, 2000. |
| [8] |
P. Bauman, D. Phillips, and Q. Tang. Stable
nucleation for the Ginzburg-Landau system with an applied magnetic
field. Arch. Rational Mech. Anal., 142(1):1-43, 1998. |
| [9] |
Patricia Bauman, Chao-Nien Chen, Daniel Phillips, and Peter
Sternberg. Vortex annihilation in nonlinear heat flow for
Ginzburg-Landau systems. European J. Appl. Math.,
6(2):115-126, 1995. |
| [10] |
Patricia Bauman and Daniel Phillips. Univalent minimizers of
polyconvex functionals in two dimensions. Arch. Rational Mech.
Anal., 126(2):161-181, 1994. |
| [11] |
Patricia Bauman, Neil N. Carlson, and Daniel Phillips. On
the zeros of solutions to Ginzburg-Landau type systems. SIAM J.
Math. Anal., 24(5):1283-1293, 1993. |
| [12] |
Patricia Bauman. Qualitative behavior of solutions to a system
of partial differential equations from nonlinear elasticity. In
Geometric analysis and nonlinear partial differential equations
(Denton, TX, 1990), volume 144 of Lecture Notes in Pure
and Appl. Math., pages 53-67. Dekker, New York, 1993. |
| [13] |
Patricia Bauman, Nicholas C. Owen, and Daniel Phillips.
Maximum principles and a priori estimates for an incompressible
material in nonlinear elasticity. Comm. Partial Differential
Equations, 17(7-8):1185-1212, 1992. |
| [14] |
Patricia Bauman, Daniel Phillips, and Nicholas C. Owen.
Maximal smoothness of solutions to certain Euler-Lagrange equations
from nonlinear elasticity. Proc. Roy. Soc. Edinburgh Sect.
A, 119(3-4):241-263, 1991. |
| [15] |
Patricia Bauman, Nicholas C. Owen, and Daniel Phillips.
Maximum principles and a priori estimates for a class of problems
from nonlinear elasticity. Ann. Inst. H. Poincaré Anal.
Non Linéaire, 8(2):119-157, 1991. |
| [16] |
Patricia Bauman and Daniel Phillips. A nonconvex variational
problem related to change of phase. Appl. Math. Optim.,
21(2):113-138, 1990. |
| [17] |
Patricia Bauman. Large-time behavior of solutions to a scalar
conservation law in several space dimensions. In The legacy of
Sonya Kovalevskaya (Cambridge, Mass., and Amherst, Mass.,
1985), volume 64 of Contemp. Math., pages
209-217. Amer. Math. Soc., Providence, RI, 1987. |
| [18] |
Patricia Bauman and Daniel Phillips. Large-time behavior of
solutions to a scalar conservation law in several space dimensions.
Trans. Amer. Math. Soc., 298(1):401-419, 1986. |
| [19] |
Patricia Bauman and Daniel Phillips. Large-time behavior of
solutions to certain quasilinear parabolic equations in several
space dimensions. Proc. Amer. Math. Soc., 96(2):237-240,
1986. |
| [20] |
Patricia Bauman. A Wiener test for nondivergence structure,
second-order elliptic equations. Indiana Univ. Math. J.,
34(4):825-844, 1985. |
| [21] |
Patricia Bauman. Positive solutions of elliptic equations in
nondivergence form and their adjoints. Ark. Mat.,
22(2):153-173, 1984. |
| [22] |
Patricia Bauman. Equivalence of the Green's functions for
diffusion operators in Rn: a counterexample.
Proc. Amer. Math. Soc., 91(1):64-68, 1984. |
