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 Shlomo Ta'asan
Professor
Ph.D., The Weizmann Institute of Science
Office: Wean Hall 6219
Phone: (412) 268-5582
E-mail: shlomo@andrew.cmu.edu
Personal web site
Research
My current research interests are mainly in the area of multiscale problems where bridging across scales of representation is a major focus. For example, how do the Navier-Stokes equations, or the Elasticity/Plasticity equations emerge from atomistic/molecular levels? What are the correct variables to introduce in modeling the problem on different scales? What are the predictable features of large systems of interacting entities (atoms/molecules, cells, etc.)? We deal with microscopic models which may be deterministic or stochastic, discrete or continuous and coarse graining of these models through intermediate scales to the macroscopic level is sought.
Grain growth problems, in Material Sciences, are an exciting opportunity to study some of the above questions. This part of the research is done with David Kinderlehrer and Ira Livshits.
My interests in biological systems focuses on modeling and simulation of large systems, and means to interpret the result using coarse grained representations. The two main system that drive the research are: 1) a single living cell, and 2) the immune system. Questions of the proper modeling tools depending on the scale of representation as well as bridging between the scales are the focus here. For an introduction to the immune system and its complexity with some remarks on modeling and simulation click here.
Other interests include efficient solution procedures for optimization problems governed by partial differential equations. A set of lecture notes (presented at the Von Karman Institute, 1997) presenting my views of the subject, as well as some fundamental open problems can be found here.
Selected Publications
Kinderlehrer, D., Livshits, I., Manolache, F., Rollett, A. D., and Ta'asan, S., Mesoscale simulation of grain growth (Proc. Symp. Y. MRS Fall 2000, to appear).
B. Chough and S. Ta'asan, From Molecular Dynamics to Navier-Stokes and Beyond. Computational Aerosciences in the 21st Century. Kluwer Acedemic Publishers 2000.
Arian, E. and Ta'asan S., Analysis of the Hessian for aerodynamics optimization: Inviscid flows. Computers and Fluids 28 (1999) 853–877.
Haras, Z. and Ta'asan S., The large scale discretization method for time dependent partial differential equations. Computers and Fluids 28 (1999), 573–602.
Ta'asan S., From molecular dynamics to continuum models, in Multigrid Methods VI, Lecture Notes in Computational Science and Engineering No 14, E. Dick, K. Riemslagh, J. Viendeels, eds.), Springer, 1999.
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.
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
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