Upcoming Events, joined with Mathematics and its Applications Seminar


Wednesday November 19, 2008

Maria Kakleas (University of Illinois at Chicago)

Title: Numerical Simulation of a Weakly Nonlinear Model for Water Waves with Viscosity

Abstract: The Euler equations of fluid mechanics describe the surface evolution of waves 
           on a large body of water.  We considered a model which includes viscous 
           effects.  We derive a weakly nonlinear set of equations and perform numerical 
           experiments with them.

Time and Place: 4:00 PM in SEO 636


Wednesday November 26, 2008

Luissette Hernandez-Medina (University of Illinois at Chicago)

Title: BBM equation on finite trees

Abstract: The Benjamin-Bona-Mahony (BBM) equation is used to model
           the unidirectional propagation of water waves. We explore
           the application of the BBM equation for modeling blood flow
           in arterial networks. The BBM equation has been suggested
           in the work of Cascaval, for the study of flow in a single
           elastic tube. Extending the range of the previous study, we
           consider the equation posed on a finite tree, along with
           boundary and consistency conditions.

Time and Place: 4:00 PM in SEO 636


Wednesday December 3, 2008

Sean Lynch (University of Illinois at Chicago)

Title: Drift-Diffusion Past a Circle

Abstract: A 2D model representing steady state groundwater seepage past a circular,
	   impenetrable obstacle is presented. The water particles diffuse in the
           plane and are subject to a uniform drift field (gravity). The
           concentration of groundwater is modeled by a linear, elliptic PDE. Using
           two independent methods, asymptotic representations of the concentration
           profile are obtained under the assumption that the drift field is stronger
           than the diffusion.

Time and Place: 3:00 PM in SEO 427


Wednesday December 3, 2008

Eunju Sohn (University of Illinois at Chicago)

Title: Storage Allocation Models with m primary holding spaces and infinitely many secondary ones

Abstract: We consider storage allocation models
           with m primary holding spaces and infinitely many secondary ones. 
           All the servers are numbered and ordered. An arriving customer takes the
                   lowest available server.  We define the wasted spaces as the difference 
           between the highest index of occupied servers and thetotal number of occupied servers. 
                   Letting rho=lambda/mu be the ratio of arrival and service rates, we study the probability 
           distribution of the wasted spaces asymptotically for m/m/infinity queue. We also give some 
           numerical results, and the tail behavior for rho=O(1). For a processor sharing model we 
           study the joint probability distribution of the numbers of occupied spaces, 
           obtaining exact solutions for m=1 and m=2, and asymptotic ones for general (possibly large) m.

Time and Place: 4:00 PM in SEO 636