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Shape control of growing crystals.
Morphological stability in thin films. Multicomponent elastic membranes
Adaptive simulation of thin films and quantum dot structures.
Multispecies tumor growth.
Modeling and simulation of fluid interfaces with surfactant.
Upscaling of discrete, agent-based tumor models
Three-dimensional tumor modeling and modeling
of multicomponent, elastic membranes
Xiangrong Li (Ph.D. 2007, UCI, expected)
Direct numerical simulation of coarsening in 3D Solid/Liquid and Solid/Solid systems
Paul Macklin (Ph.D. 2007, UCI, expected)
Multiphase models of solid tumor growth
Zheng Zheng Hou (Ph.D. 2008, UCI,expected)
Control of nanostructured thin films.
Geoff Cox (Ph.D. 2009, UCI, expected)
Modeling, analysis and simulation of interactions
among pattern formation and domain growth.
Chris Ograin (Ph.D. 2009, UCI, expected)
Modeling, analysis and simulation of strongly anisotropic
Solmaz Torabi (Ph.D. 2010, UCI, expected. Mat. Sci. Eng.)
Strongly anisotropic Cahn-Hilliard-type equations.
Genevieve Brown. Undergraduate Research Opportunity Fellowship. Honors Thesis topic: Modeling solid
Katiya Pavlova. UROP. (Joint with E. Titi). Research Topic: Numerical
simulation of Leray regularization of Burger's equation
Aaron Abajian. UROP. Henry Samueli Engineering School Undergraduate
Research Fellowship. Research Topic:
Agent-based modeling of tumor growth.
Sam Lee (Biomed. Eng.) Research Topic:
Three-dimensional tumor modeling.