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Joint Dynamics and PDE Seminar

The Boston University Department of Mathematics and Statistics, Brown University's Department of Mathematics and Division of Applied Mathematics, and the University of Massachusetts Amherst Department of Mathematics and Statistics hold joint seminars on topics in dynamics and PDE. The schedule and locations for these events can be found below. For a list of all past events of the seminar please visit the BU/Brown/UMass PDE Seminar Archive.

The organizers for the Brown/BU/UMass Seminars are Ryan Goh, Cole Graham, Jonathan Jaquette, Mithun Thudiyangal and Tony Wong. Please contact them at [email protected], [email protected], [email protected], [email protected] and [email protected], respectively.

Fall 2021

Order Reconstruction of Nematic Liquid Crystals in Microfluidic Channels

Lidia Mrad (Mount Holyoke)

Molecules of a nematic liquid crystal tend to align along preferred directions, producing partially-ordered material. This results in peculiar physical properties that render them useful in a range of applications, including their widespread use in optical displays. When confined to thin planar cells or channels, the fluid flow extends the applications of nematics further to optofluidic devices and guided micro-cargo transport. Our goal is to examine the intrinsic coupling between the fluid motion and the orientation of nematic molecules within a reduced Beris-Edwards framework.

The Influence of the Endothelial Surface Layer on the Motion of Red Blood Cells

Ying Zhang (Brandeis)

The endothelial lining of blood vessels presents a large surface area for exchanging materials between blood and tissues. The endothelial surface layer (ESL) plays a critical role in regulating vascular permeability, hindering leukocyte adhesion as well as inhibiting coagulation during inflammation. Once the ESL is pathologically altered, the changes in its topography are believed to cause vascular hyperpermeability and induce thrombus formation during sepsis.

On non-equilibrium fluctuations for the Stirring process with births and deaths

Panagiota Birmpa (UMass Amherst)

In this talk, we present our recent results on the density fluctuation field for the stirring process with births and deaths at two sites at the boundary which tend to impose a current into the system. Assuming correlation estimates, we derive an equation for the limiting kernel of the variance of the fluctuation field.

Mathematical and Computational Approaches to Social Justice

Chad Topaz (William College)

Civil rights leader, educator, and investigative journalist Ida B. Wells said that "the way to right wrongs is to shine the light of truth upon them." This talk will demonstrate how mathematical and computational approaches can shine a light on social injustices and help build solutions to remedy them.

Quantization of Benjamin-Ono periodic traveling waves

Alexander Moll (UMass Boston)

The Benjamin-Ono equation is a model for a variety of classical fluid interfaces in two spatial dimensions. In addition, the “quantization” of this model is conjectured to describe such interfaces at scales in which quantum effects must be taken into account. In this talk, we review the essentials of the mathematical procedure of quantization (from a probabilistic point of view and without any path integrals) and present recent results on the quantization of Benjamin-Ono periodic traveling waves.

Localized Patterns on Ring Lattices

Moyi Tian (Brown)

It has been observed that s-shaped curves, known as snaking, emerge as the existence branches of stationary localized patterns in spatially discrete systems posed on lattices. Little is known about how graph structure impacts the connection of stationary patterns in parameter space. To address this problem, we focus on ring lattices and discuss analytical results in different coupling regimes.

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Brown University

Joint Dynamics and PDE Seminar

Fall 2021

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