Bacim Alali @ MSRI - 6/2006

Research Assistant
Department of Mathematics
Louisiana State University
Baton Rouge, LA70803
Office: 245B Prescott Hall
Phone: (225)578-7808
email: alali[at]math[dot]lsu[dot]edu

Education

  • Ph.D. Mathematics, Louisiana State University, expected June 2008.
    Thesis Topic: Multiscale analysis of local fields in heterogeneous media for local and nonlocal continuum theories.
    Advisor: Robert Lipton
  • M.S. Mathematics, Louisiana State University, August 2005.

Research Interests

Homogenization Methods for PDEs and Integral Equations, Variational Methods, and Topology Optimization. Continuum Mechanics: Micromechanics of Composite Media, and the Peridynamic Formulation of Nonlocal Elasticity. (Research Statement)

Publications

  • Multiscale analysis of fiber-reinforced materials in the peridynamic formulation (with R. Lipton), in preparation.
  • Optimal lower bounds on the stress and strain fields inside random two-phase elastic composites (with R. Lipton), in preparation.
  • A novel design methodology of gradient field coils for magnetic resonance imaging (with R. Lipton), working paper.

Research Projects

Recent Conferences and Presentations

  • SIAM Conference on Analysis of Partial Differential Equations (PD07), December 10-12, 2007, Mesa, Arizona. (Minisymposium Speaker).
  • Applied Analysis Graduate Student Seminar, December 5, 2007, Mathematics Department, LSU. (Talk).
  • Workshop on Modeling, Analysis and Simulation of Multiscale Nonlinear Systems, Oregon State University, Corvallis, Oregon, June 25-29, 2007.
  • 2007 DOE Summer School in Multiscale Mathematics and High Performance Computing, Oregon State University, Corvallis, Oregon, June 29-July 3, 2007. (Contributed Poster).
  • Workshop on Computational and Mathematical Aspects of Materials and Fluids (CAM2007), Department of Mathematics and Ames Laboratory, Iowa State University, Ames, Iowa, April 13-14, 2007. (Contributed Poster).
  • Recent Advances in Nonlinear PDEs and Applications: A workshop in honor of Peter D. Lax and Louis Nirenberg (LN2006), Toledo, Spain, June 7-10, 2006. (Contributed Poster).
  • MSRI Summer Graduate Workshop on Mathematical Aspects of Computational Biology. Berkeley, California, June 19-30, 2006.
  • The 2005 Joint ASCE/ASME/SES Conference on Mechanics and Materials, Baton Rouge, Louisiana, June 1-3, 2005.
  • Graduate Student Seminar, Department of Mathematics, LSU, March, 2005 (Talk).

Curriculum Vitae

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