Open Access. Powered by Scholars. Published by Universities.®
- Publication
Articles 1 - 2 of 2
Full-Text Articles in Entire DC Network
Variational Multiscale Models For Charge Transport, Guo-Wei Wei, Qiong Zheng, Zhan Chen, Kelin Xia
Variational Multiscale Models For Charge Transport, Guo-Wei Wei, Qiong Zheng, Zhan Chen, Kelin Xia
Zhan Chen
This work presents a few variational multiscale models for charge transport in complex physical, chemical, and biological systems and engineering devices, such as fuel cells, solar cells, battery cells, nanofluidics, transistors, and ion channels. An essential ingredient of the present models, introduced in an earlier paper [Bull. Math. Biol., 72 (2010), pp. 1562--1622], is the use of the differential geometry theory of surfaces as a natural means to geometrically separate the macroscopic domain from the microscopic domain, while dynamically coupling discrete and continuum descriptions. Our main strategy is to construct the total energy functional of a charge transport system to …
Generalized Complex Hamiltonian Torus Actions: Examples And Constraints, Thomas Baird, Yi Lin
Generalized Complex Hamiltonian Torus Actions: Examples And Constraints, Thomas Baird, Yi Lin
Yi Lin
Consider an effective Hamiltonian torus action T×M→M on a topologically twisted,generalized complex manifold M of dimension 2n. We prove that the rank(T)≤n−2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying rank(T)=n−2, using a surgery procedure on toric manifolds.