New theoretical, algorithmic, and computational tools are needed toovercome the space and time scale challenges presented bygenomics-based materials design and manufacturing. I will discussseveral approaches to the coarse-graining of space and time needed toachieve the predictive and efficient simulation of materials withoptimized properties ' a...
Creator:
Luskin, Mitchell (University of Minnesota, Twin Cities)
Created:
2012-09-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many nonlinear systems of partial differential equations have a striking phenomenon of spontaneous formation of singularities in a finite time (blow up). Blow up is often accompanied by a dramatic contraction of the spatial extent of solution, which is called by collapse. A collapse in a nonlinear Schrodinger equation (NLSE) describes the self-f...
Creator:
Lushnikov, Pavel M (University of New Mexico)
Created:
2016-11-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
1. The concept of dynamic materials (DM) as thermodynamically open formations in space-time. Cross-disciplinary implementations: properly material (mechanical or electromagnetic), biological (living tissue), environmental (traffic), etc.2. Mathematical description: Minkowskian space-time. Tensor formulation of electrodynamics of moving bodies. L...
Creator:
Lurie, Konstantin (Worcester Polytechnic Institute)
Created:
2017-03-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will cover one of my first multi-disciplinary projects that I worked on at Boeing. I will discuss the several ways that the Applied Math group contributed to a NASA contract to design a hypersonic vehicle. Along with the mathematics, I will share what I have learned during my transition to a career as an industrial mathematician.Laura ...
Creator:
Lurati, Laura (The Boeing Company)
Created:
2013-03-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will present some results on the existence andnonlinear stability for the rotating star solutions which areaxi-symmetric steady-state solutions of the compressibleisentropic Euler-Poisson equations in 3 spatial dimensions.We then apply these results to rotating white dwarf stars toshow its dynamical stability when the totalmass is less than a ...
Creator:
Luo, Tao (Georgetown University)
Created:
2009-07-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a semi-classical model for studying the optical responses of nano-structures, where the wave propagation is determined classically through Maxwell's equations and the motion of the nano-structure is determined quantum mechanically through Schrodinger equation. Ehrenfest molecular dynamics and Density Functional Theories are applied to...
Creator:
Luo, Songting (Iowa State University)
Created:
2017-04-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
