We give sufficient conditions ensuring that any positive classical solution (u,v) of an elliptic system in the whole n-dimensional space has the symmetry property u=v. As an application, we improve some known results on Sobolev-critical elliptic systems of Schrodinger type. Our techniques apply to some supercritical problems as well. We also obt...
Creator:
Quittner, Pavol (Comenius University in Bratislava)
Created:
2012-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Keywords: Low Reynolds number; locomotion; symmetry-breaking; synchronization; cilia; optimizationAbstract: Fluid mechanics plays a crucial role in many cellular processes. One example is the external fluid mechanics of motile cells such as bacteria, spermatozoa, algae, and essentially half of the microorganisms on earth. The most commonly-studi...
Creator:
Lauga, Eric (University of California, San Diego)
Created:
2010-06-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will discuss qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Friedrichs transition. This model depends on two parameters: ɛ>0 which is small and represents the coherence scale of the system and a≧ 0 which represe...
Creator:
Kowalczyk, Michal (University of Chile)
Created:
2018-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
By the 'realistic biometric context' of my title, I mean an investigation of well-calibrated images from a moderately large sample of organisms in order to evaluate some nontrivial hypothesis about systematic form-factors (e.g., a group difference). One common approach to such problems today is 'geometric morphometrics,' a short namefor the mult...
Creator:
Bookstein, Fred L. (University of Washington)
Created:
2006-04-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
