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Markos Katsoulakis, Professor |
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| Personal Webpage |
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| Office | LGRT 1423G | | Phone | (413) 545-1331 | | Fax | (413) 545-1801 | | Email | markos <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Education | | Ph.D. | Brown University, 1993 |
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| | B.A. | National and Kapodistrian University, 1987 |
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| Research Interests: Applied Stochastic Analysis, Nonlinear Partial Differential Equations and Computational Methods for multiscale problems. |
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| Markos Katsoulakis works in Applied Stochastic Analysis, Nonlinear Partial Differential Equations and Statistical Mechanics, focusing on the mathematical and computational aspects of phenomena with multiple, interrelating scales. He has extensively worked in interdisciplinary collaborations involving Mathematics, Chemical Engineering and lately in Atmospheric and Oceanic Sciences problems. His research work is primarily in (a) deterministic and stochastic mesoscopic modeling and simulation, (b) developing rigorous mathematical methods for the derivation of macroscopic laws from microscopic stochastic models, and (c) studying relaxation mechanisms in hyperbolic conservation laws and discrete velocity kinetic models. He is currently the Director for the Center of Applied Mathematics at the University of Massachusetts and he is an Associate Editor of SIAM Journal of Mathematical Analysis. |
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| Selected Publications |
| M. A. Katsoulakis, A. J. Majda and A. Sopasakis, Intermittency, metastability and coarse-graining in deterministic/stochastic lattice systems, accepted, Nonlinearity 19, 1021-1047, (2006). |
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| M. A. Katsoulakis, P. Plechac and A. Sopasakis, Error control and analysis in coarse-graining of stochastic lattice dynamics, in press, SIAM J. Num. Analysis (2006). |
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| M. A. Katsoulakis and J. Trashorras, Information loss in coarse-graining of stochastic particle dynamics J. Stat. Phys., 122, 115-135, (2006). |
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| M. A. Katsoulakis, A. J. Majda and D. G. Vlachos, Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems, J. Comp. Phys. 186, (2003), 250-278. |
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| B. Khouider, A. J. Majda and M. A. Katsoulakis, Coarse-grained stochastic models for tropical convection and climate, Proc. Natl. Acad. Sci. USA 100, (2003), 11941-11946. |
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| M. A. Katsoulakis, A. J. Majda and D. G. Vlachos, Coarse-grained stochastic processes for lattice systems, Proc. Natl. Acad. Sci. USA 100, (2003), 782-787. |
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| M. A. Katsoulakis and D. G. Vlachos, Hierarchical kinetic Monte Carlo simulations for diffusion of interacting molecules, J. Chem. Phys. 112, (2003), 9412-9427. |
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| relaxation systems and scalar conservation laws, J. Stat. Phys. 96, (1999), 715-763. |
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| S. Jin, M. A. Katsoulakis and Z. Xin, Relaxation schemes for curvature-dependent front propagation, Comm. Pure Appl. Math. 52, (1999), 1587-1615. |
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| M. A. Katsoulakis and P. E. Souganidis, Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics, Comm. Math. Phys. 169, (1995), 61--97. |
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