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 Deborah Brandon
Senior Lecturer
Ph.D, Carnegie Mellon University
Office: Wean Hall 6122
Phone: (412) 268-2552
E-mail: brandon@andrew.cmu.edu
Research
My research interests include partial differential equations, integrodifferential equations with applications in continuum mechanics.
Recently, I've been working on nonconvex variational problems that arise in models of materials that exhibit microstructure (e.g., phase transitions, ferromagnetism, etc.)
Selected Publications
(with I. Fonseca and P. Swart), Oscillations in a dynamical model of phase transitions, Proc. Royal Soc. Edin., 131A, (2001) 59–81
(with T. Lin and R. C. Rogers), Phase transitions and hysteresis in nonlocal and order-parameter models, Meccnica, 30, (1995) 541–565.
(with R. C. Rogers), The coercivity paradox and nonlocal ferromagnetism, Continuum Mech. Thermodyn., 4, (1992), 1–21.
Global existence and asymptotic stability for a nonlinear integrodifferential equation modelling heat flow, SIAM J. Math. Anal., 22, (1991), 72–106.
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