
Prof. Ashley James
Mon Feb 9, 2004
4:00 pm
A numerical method to simulate interfacial surfactant mechanics within a volume of fluid method has been developed. Two important features of this new method are that it conserves surfactant mass exactly and the form of the equation of state is not restricted, i.e. the relation between surfactant concentration and surface tension can be linear or...

Prof. Steve Shkoller
Mon Feb 2, 2004
4:00 pm
The motion of an elastic solid inside of an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a coupled PDE system between parabolic and hyperbolic phases, the latter inducing a loss of regularity. In this talk, I will outline the proof of the existence and uniqueness of such motions (locally in time...

Dr Wayne Hayes
Fri Jan 30, 2004
4:00 pm

Prof. John Lowengrub
Mon Jan 26, 2004
4:00 pm
In this talk, we demonstrate the existence of noncircular shapeinvariant (selfsimilar) growing and melting two dimensional crystals. This work is motivated by the recent three dimensional studies of Cristini and Lowengrub in which the existence of selfsimilar shapes was suggested using linear analysis and dynamical numerical simulations. Here...

Prof. Michael Ghil
Fri Jan 23, 2004
4:00 pm
The largescale flow of the midlatitude atmosphere and oceans is governed by systems of PDEs that approximate the Euler and NavierStokes equations in the presence of rotation and stratification. These PDEs include the quasigeostrophic and shallowwater equations in two and three dimensions (2D and 3D), as well as the socalled primitive...

Prof. ChiWang Shu
Mon Jan 12, 2004
4:00 pm
In this talk we will discuss the recent development of locally divergencefree discontinuous Galerkin methods for solving Maxwell equations and ideal magnetohydrodynamics (MHD) equations. The distinctive feature of such methods is the use of approximate solutions that are exactly divergencefree inside each element for the part of the solution...

Prof. James Lamberts
Mon Dec 8, 2003
4:00 pm
The design and analyis of numerical methods for the solution of PDE of the form du/dt + Lu = 0, where L is a constantcoefficient differential operator, is greatly simplified by the fact that, for many methods, a closedform representation of the computed solution as a function of (x,t) is readily available. This is due in large part to the fact...