By means of rigorous thermodynamic limit arguments, we derive a new variational model providing exact embedding of local defects in insulating orsemiconducting crystals. A natural way to obtain variational discretizations of this model is to expand the perturbation of the periodic density matrix generated by the defect in a basis of precomputed ...
Creator:
Lewin, Mathieu (Université de Cergy-Pontoise)
Created:
2008-10-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This course will be concerned with the analysis of thin elastic films which exhibit residual stress at free equilibria. Examples of such structures include, in particular, growing tissues such as leaves, flowers or marine invertebrates, as well as specifically engineered gels. There, it is conjectured that the growth process results in the forma...
Creator:
Lewicka, Marta (University of Pittsburgh)
Created:
2013-07-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Elastic materials exhibit qualitatively different responses to different kinematic boundary conditions or body forces. As a first step towards understanding the related evolutionary problem, one studies the minimizers of an appropriate nonlinear elastic energy functional.We shall give an overview of recent results, rigorously deriving 2d elastic...
Creator:
Lewicka, Marta (University of Minnesota, Twin Cities)
Created:
2009-07-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will discuss how the mechanical response of an elastic film is affected by subtle geometric properties of its mid-surface. The crucial role is played by spaces of weakly regular (Sobolev) isometries or infinitesimal isometries. These are the deformations of the mid-surface preserving its metric up to a certain prescribed order of...
Creator:
Lewicka, Marta (Rutgers, The State University Of New Jersey)
Created:
2011-05-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Replica exchange (RE) is a generalized ensemble simulation method for accelerating the exploration of free-energy landscapes which define many challenging problems in computational biophysics, including protein folding and binding. Although replica exchange is a parallel simulation technique whose implementation is relatively straightforward, ki...
Creator:
Levy, Ronald M. (Rutgers, The State University Of New Jersey)
Created:
2008-01-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this interview, Roberta Levy gives an account of her life as a Jewish Minnesotan and legal practitioner. She was born in 1937 in Philadelphia to Russian immigrant parents who were persecuted abroad. Recalling her early life, she describes how her father had a store in Philadelphia and was a committed Socialist/Zionist. She gives a description...
Creator:
Levy, Roberta, 1937-?
Contributor:
Rubenstein, Helen (Interviewer)
Created:
2008-11-25
Contributed By:
University of Minnesota Libraries, Nathan and Theresa Berman Upper Midwest Jewish Archives.
Thin liquid films are important in applications involving lubricationor coating, which arise in both biological and industrial contexts.Recent experiments have uncovered new phenomena that presentchallenges of modeling, analysis and simulation. These include newwave forms, fingering instabilities, and a variety of driving andcontrol mechanisms. ...
Creator:
Levy, Rachel (Harvey Mudd College)
Created:
2009-03-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
