
Prof. YuanNan Young
Mon Feb 23, 2004
4:00 pm
Turbulent mixing of multiphase flows is of great interests in many research fields. In this talk, I will present results from turbulence simulations of twophase flows. We use a hybrid particle level set method (Enright et al., 2003) to capture the interface in the turbulent flows. Based on the phasefield model, we propose a simple way to...

Prof. Mikhail Vishik
Fri Feb 20, 2004
4:00 pm
In dimensions 2 and 3 we prove that the spectral stability bound does not exceed some quantity of the dynamical systems origin. In dimension 2 this implies the spectral bound is equal to the growth bound in $L^2$ of infinitesimal perturbations in an ideal incompressible fluid (joint work with Yuri Latushkin). We discuss the question if linear...

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...