Pseudodifferential operators, optimal grids, and evolution equations: a case study for micromagnetics

Supervisor
Cyrill Muratov - NJIT-New Jersey Institute of Technology
Date and time
Thursday, June 16, 2005 at 5:30 PM - Ore 17.00: tè, caffè e &.
Programme Director
Giandomenico Orlandi
External reference
Publication date
May 30, 2005
Department
 

Summary

Pseudodifferential operators, such as the Dirichlet-to-Neumann map for the
Laplace's equation in half-space often arise in nonlinear
problems, and, in particular, in the context of pattern
formation. Efficient numerical methods can therefore be very useful in
understanding the spatiotemporal dynamics in these complex nonlinear
systems. In this talk, I will review a number of examples of models in
developmental biology, semiconductors physics, and micromagnetics in which
pseudodifferential operators play a crucial role. I will then discuss
several implementations of optimal grids for the numerical studies of the
domain wall structures in thin film micromagnetics and present an
important new type of solutions found in these studies.





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