Professor David Kinderlehrer
Professor of Mathematical Science
Ph.D.,University of California, Berkeley

7208 Wean Hall
Carnegie Mellon University
Pittsburgh, PA 15213-3890

Email address:
Phone: (412) 268-5729
Fax: (412) 268-7596

Professor Kinderlehrer's Web Site

How do the systems we find in nature evolve and why? Some of the most challenging of these involve interactions among many communicating length and time scales and, even when equations for their motion have been written down on paper, little is understood about their nature. They may be only metastable, for example, hovering for long periods away from equilibrium. They may involve complicated microstructure that can only be interpreted through some coarse graining devices. We find them everywhere, in both material and biological environments. At this moment we are studying complex features of grain growth (http://mimp.materials.cmu.edu) and fluctuation driven transport in soft systems, like protein motors and liquid crystals. Below are both some older references and some new ones. By the way, have a weakness for Las Vegas? Try Heath, Kinderlehrer and Kowalczyk cited below. Most often, I find myself in the company of colleagues who are not mathematicians. We are learning together what we could not do in our native disciplines: new science. Mathematics can say something about the world. Want to help? Come to Carnegie Mellon!

Kinderlehrer, D., Livshits, I., Manolache, F., Rollett, A. D., and Ta'asan, S., 2001, An approach to the mesoscale simulation of grain growth, Influences of interface and dislocation behavior on microstructure evolution, (Aindow, M. et al., eds), Mat. Res. Soc. Symp. Proc. 652, Y1.5.

Kinderlehrer, D. and Kowalczyk, M., 2002, Diffusion mediated transport and the flashing rachet, Arch. Rat. Mech. Anal. 161, 149-179.

Chipot, M., Kinderlehrer, D., and Kowalczyk, M. A variational principle for molecular motors (Meccanica, to appear)

Heath, D., Kinderlehrer, D., and Kowalczyk, M., 2002, Discrete and continuous rachets: from coin toss to molecular motor, Disc. and Cont. Dyn. Systems B, 2, 153-167.

Adams, B.L., Ta'asan, S., Kinderlehrer, D., Livshits, I., Mason, D., Wu, C., Mullins, W.W., Rohrer, G.S., Rollett, A.D., Saylor, D., Extracting grain boundary energy from triple junction measurement, Interface Science, 7, 321-338.

Kinderlehrer, D. and Walkington, N., Approximation of Parabolic Equations based upon a Wasserstein metric, 33.4, 837-852.

Adams, B.L., Kinderlehrer, D., Mullins, W.W., Rollett, A.D., and Ta'asan, S. 1998 Extracting the relative grain boundary free energy and mobility functions from the geometry of microstructures, Scripta Materiala, 38.4, 531-536

Jordan, R., Kinderlehrer, D., and Otto, F. 1998 The variational formulation of the Fokker-Planck Equation, SIAM J. Math Anal. 29.1, 1-17

James, R.D. and Kinderlehrer, D. (1993), Theory of Magnetostriction with Application to TbxDy1-xFe2, Phil. Mag.B 68: 237-274.

Chipot, M. and Kinderlehrer, D. (1988), "Equilibrium Configurations of Crystals," Arch. Rat. Mech. Anal. 103: 237-277.