Recent Works

  • Diffusion in Poro-Plastic Media, (20 pages)
    with Ulisse Stefanelli, to appear.
    TICAM Report 03-22.

  • Double-Diffusion Models from a Highly-Heterogeneous Medium, (18 pages)
    with Darrin Visarraga, Jour. Math. Anal. Appl., to appear.
    TICAM Report 02-23.

  • Absorption-Delay Models of Heat Transport, (16 pages)
    with Darrin Visarraga, Mathematical Models and Methods in Applied Sciences 13 (2003), 645-660.
    TICAM Report 02-01.

  • Partially Saturated Flow in a Poroelastic Medium, (21 pages)
    with Ning Su, Discrete Contin. Dynam. Systems - Series B 1 (2001), pp. 403-420.
    TICAM Report 01-01.

  • Single-phase Flow in Composite Poro-elastic Media, (25 pages)
    with Bahareh Momken, Math. Methods in the Applied Sciences 25 (2002), 115-139.
    TICAM Report 00-31.

  • Thin-Film Capacitance Models, (29 pages)
    with Hee-Chul Pak, Applicable Analysis 78 (2001), pp. 415-451.
    TICAM Report 00-19.

  • Vibration of a Shape Memory Alloy Wire, (12 pages)
    with K.-H. Hoffmann, Communications in Applied Analysis 7 (2003), pp. 53-66.
    TICAM Report 00-09.

  • Diffusion in Poro-Elastic Media, (25 pages)
    Jour. Math. Anal. Appl. 251 (2000), 310-340.
    TICAM Report 00-05.

  • Two-Scale convergence of a Model for Flow in a Partially Fissured Medium,
    with Gordon W. Clark, Electronic Journal of Differential Equations (1999), No. 2, 1-20.

  • A Transport Model with Adsorption Hysteresis, (12 pages)
    with M. Peszynska, Differential and Integral Equations 11 (1998), 327-340.
    See the movie here.

  • Single Phase Flow in Partially Fissured Media, (19 pages)
    with J. Douglas, Jr. and M. Peszynska, Transport in Porous Media 28 (1997), 285--306.

    Expository Reports

  • Diffusion in Deforming Porous Media, (18 pages)
    Dynamics of Continuous, Discrete and Impulsive Systems, to appear, June, 2003.
    TICAM Report 02-37.

  • Partially Saturated Flow in a Composite Poroelastic Medium, (9 pages)
    with Ning Su, Poromechanics II, (Grenoble, 2002),
    J.-L. Auriault et al (editors), pp.549--554, Balkema, Lisse, 2002.
    TICAM Report 02-15.

  • Diffusion in Deformable Media, (15 pages)
    IMA Volumes in Mathematics and its Applications, vol. 131,
    "Resource Recovery, Confinement, and Remediation of Environmental Hazards", (Minneapolis, February, 2000),
    J. Chadam, A. Cunningham, R. Ewing, P. Ortoleva, and M. Wheeler (editors), pp. 115--130, Springer, New York.
    TICAM Report 00-18.

  • Lectures on Flow in Porous Media, (35 pages)
    A series of elementary expository lectures delivered at the
    Third Colloquium on Differential Equations and Applications,
    Maracaibo, Venezuela, May 17-22, 1997.

  • Micro-Structure Models of Porous Media, (21 pages)
    Chapter in the book "Homogenization and Porous Media" edited by Ulrich Hornung,
    Interdisciplinary Applied Mathematics Series, vol. 6, Springer, New York, 1996.

  • Dynamic Plasticity Models, (13 pages)
    with Peter Shi, Computer Methods in Applied Mechanics and Engineering, 151 (1998), 501-511.
    Summary of a presentation at the meeting on "Models of Hysteresis" in Levico, June 25-28,1996.
    Full paper appeared as
    Plasticity models and nonlinear semigroups, Jour. Math. Anal. Appl. 216 (1997), 218-245.

  • Parabolic PDE with Hysteresis, (11 pages)
    with T. Little and Ulrich Hornung, Control and Cybernetics 25 (1996), 631-643.
    Expanded version of a presentation at IFIP Conf. on Distributed Systems, Warsaw, July 17-21, 1995.

  • PDE-Models with Hysteresis on the Boundary, (10 pages)
    with Ulrich Hornung, in "Models of Hysteresis,
    Proceedings of the Conference at CIRCM, Trento 1991", A. Visintin, (ed.), 30-38.