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Summer Program Seminar Series

Department of Mathematical Sciences
and
Center for Applied Mathematics and Statistics

New Jersey Institute of Technology


Summer 2008

 

All seminars are Mondays and Wednesdays at 10:00 a.m. - 11:00 a.m., in Cullimore Hall Room 611 (Math Conference Room) unless noted otherwise.  If you have any questions about a particular seminar, please contact the person hosting the speaker.

Date
Speaker and Title
Host

Wednesday,  May 28, 2008

Peter Gordon, Department of Mathematical Sciences, NJIT
Reaction Diffusion Equations 101
Svetlana Tlupova

Monday, June 2, 2008

Leo Espin, Department of Mathematical Sciences, NJIT
Self Similar Solutions of The Navier Stokes Equations: A Review of Results
Leo Espin

Wednesday,  June 4, 2008

Michael Booty, Department of Mathematical Sciences, NJIT
Bubble and Drop Deformation and Breakup; The Influence of Surfactant and Surfactant Solubility
Svetlana Tlupova

Monday, June 9, 2008 and
Wednesday,  June 11, 2008

Seminars will be suspended for a period of one week due to Qualifying Exam Testing Leo Espin
Svetlana Tlupova

Monday, June 16, 2008

Kamyar Malakuti, Department of Mathematical Sciences, NJIT
The Numerical Analysis of Singular Solutions to Partial Differential Equations
Leo Espin

Wednesday,  June 18, 2008

Roy Goodman, Department of Mathematical Sciences, NJIT
Fractal Structures in Solitary Wave Interactions
Svetlana Tlupova

Monday, June 23, 2008

Myongkeun Oh, Department of Mathematical Sciences, NJIT
Loss Of Synchrony In Non-Weakly Coupled Type-I Oscillatory And Inhibitory Networks
Leo Espin

Wednesday,  June 25, 2008

Jonathan Luke, Department of Mathematical Sciences, NJIT
Particle and Continuum Modeling of Suspensions

Svetlana Tlupova

Monday, June 30, 2008

Yogesh Joshi, Department of Mathematical Sciences, NJIT
Dynamics Of Discrete Population Models:
Higher Dimensional Pioneer - Climax Models
Leo Espin

Wednesday,  July  2, 2008

Sundar Subramanian, Department of Mathematical Sciences, NJIT
Survival Analysis: An Overview
Svetlana Tlupova

Monday, July 7, 2008

Quiming Wang, Department of Mathematical Sciences, NJIT
Modeling, Analysis, Computation Of Electrified Liquid Jets
Leo Espin

Wednesday,  July  9, 2008

Cyrill Muratov, Department of Mathematical Sciences, NJIT
Front Propagation In Reaction-Diffusion Problems: A Variational Approach
Svetlana Tlupova

Monday, July 14, 2008

Matt Causley, Department of Mathematical Sciences, NJIT
Plane Wave Analysis for Anisotropic Materials
Leo Espin

Wednesday,  July 16, 2008

Shidong Jiang, Department of Mathematical Sciences, NJIT
Introduction to Analysis-Based Fast Numerical Algorithms
Svetlana Tlupova

Monday, July 21, 2008

Ye Yang, Department of Mathematical Sciences, NJIT
A Three-field Finite Element Formulation for Fluid-structure Interaction Systems
Leo Espin

Wednesday,  July 23, 2008

Yassine Boubendir, Department of Mathematical Sciences, NJIT
Some Ideas About Numerical Techniques For Wave Propagation Problems
Svetlana Tlupova

Monday, July 28, 2008

Shuchi Agrawal, Department of Mathematical Sciences, NJIT
Stability Of Microwave Heated Ceramic Cylinders And Slabs.
Leo Espin

Wednesday,  July 30, 2008

Peter Petropoulos, Department of Mathematical Sciences, NJIT
Wave Propagation in Dielectrics that Exhibit Fractional Relaxation
Svetlana Tlupova

Monday, August 4, 2008

Rashi Jain, Department of Mathematical Sciences, NJIT
Particle Filtering For Arrival Time Estimation From Sound Signals In Ocean
Leo Espin

Wednesday,  August 6, 2008

Yuan Young, Department of Mathematical Sciences, NJIT
Novel Fluid Dynamics in Stokes Flows
Svetlana Tlupova

 

ABSTRACTS

Reaction Diffusion Equations 101:
I will describe some major mathematical ideas used in analysis of reaction diffusion equations and systems. Some applications will also be given.
Peter Gordon ~ May 28, 2008

The Numerical Analysis of Singular Solutions to Partial Differential Equations:
Singularities often occur in solutions to partial differential equations; one of the important examples includes the formation of shock fronts in hyperbolic equations. In this talk, we present a new method for the numerical analysis of complex singularities in solutions to partial differential equations. In this method, we analyze the decay of Fourier coefficients using a numerical form fit to ascertain the nature of singularities in two and three-dimensional functions. As an example, we apply this method to analyze the complex singularities for the 2D inviscid Burger equations.
Kamyar Malakuti ~
June 16, 2008

Survival Analysis: An Overview:
In this talk we present an introduction to the statistical analysis of lifetime data, which arise commonly in biomedical studies. We focus on the random censorship model and introduce some non- and semi-parametric estimators of the probability of survival at any desired time point, also known as a survival function.
Sundar Subramanian ~ July 2, 2008

Wave Propagation in Dielectrics that Exhibit Fractional Relaxation:
Measured dielectric permittivity data up to 100 GHz is typically fit to polarization models that exhibit relaxation, i.e., the induced polarization satisfies a first-order ordinary differential equation that is forced by the electric field. In the past we've given reasons (some supported by available experimental data) for using models that exhibit fractional relaxation to fit such data, i.e., the Cole-Cole polarization model. In this presentation we will examine the whole class of dielectrics that exhibit such fractional relaxation, and present numerical and asymptotic results that are useful in determining how electromagnetic pulses propagate in such dielectric models.
Peter Petropoulos ~ July 30, 2008

Novel Fluid Dynamics in Stokes Flows:
Stokes flows are laminar fluid motions that are dominated by high dissipation, and due to its simple nature, chaotic dynamics is often not expected in Stokes flow. In this talk we report interesting dynamics due to fluid-structure interaction and fluid-interface interaction in Stokes flow.

When an elastic fiber is moving in a Stokesian fluid, it may become susceptible to buckling instability when moving in the neighborhood of a hyperbolic point of the flow. When the stagnation point is part of a spatially-extended cellular flow, it is found that fibers can move as random walers across time-independent closed-streamline flow. It is also found that the flow is segregated into transport regions around hyperbolic stagnation points and their manifolds, and closed entrapment regions around elliptic points.

Another example is a viscous drop immersed in Stokes flow with time-varying rotation. Due to the fluid-interface interaction, the drop dynamics becomes chaotic even in the Stokesian regime. The chaotic dynamics is found to arise from a cascade of period-doubling bifurcations. We will further discuss how this findings can be useful in designing micro-fluidic mixers.

These work is collaborations with Michael Shelley (NYU) and Jerzy Blawzdziewicz (Yale University).

Yuan Young ~ August 6, 2008