List of Faculty in the Graduate Group in Applied Mathematics (GGAM)
GGAM comprises faculty members from departments across the campus, including its home, the Department of Mathematics. Below is a brief description of faculty research, links to personal and departmental web pages plus some "Related Courses" which can serve as a general study guideline for students interested in research with a particular faculty member. Students who want a more complete description of a faculty member's research interests are encouraged to contact them.
|Molecular dynamics (MD) simulations as well as methods projects developing state-of-the-art enhanced sampling methods for MD simulations.|
|Hari Manikantan works on mathematical modeling of continuum mechanics, and is broadly interested in problems involving fluid dynamics, multiphase flows, elasticity, soft matter, numerical methods, rheology, biophysics, hydrodynamic stability, nonlinear dynamics, and pattern formation. His current research interests include the nonlinear rheology of fluid interfaces in lipid layers, emulsions, and foams; the configurational dynamics and stability of elastic microfilaments such as biopolymers; and the flow of non-Newtonian fluids in porous media with applications in plant vasculature.|
|My research interests include the development of numerical
methods for the solution of complex problems in engineering and science,
mostly at the continuum scale; Complex rheology: multiscale and
continuum methods for incompressible viscoelastic flows; Multiphase
flows: compressible and incompressible flows of fluids and
elastic-plastic solids in time-dependent domains, interfacial processes;
Constitutive modeling: equations of state, thermodynamic modeling,
symmetry invariants; and Charged systems: plasma physics, boundary
charge and bilayer problems.