Applied/ACMS: Difference between revisions

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! align="left" |Host(s)
! align="left" |Host(s)
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|Jan 31
|Sep 19
|[https://people.math.wisc.edu/~tgchandler/ Thomas Chandler] (UW)
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|[[#Chandler|''Fluid–structure interactions in active complex fluids'']]
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|Feb 7
|Sep 26
|[https://www.colorado.edu/aps/adrian-fraser Adrian Fraser] (Colorado)
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|[[#Fraser|''Destabilization of transverse waves by periodic shear flows'']]
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|Spagnolie
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|Feb 14
|Oct 3
|TBA
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|Feb 21
|Oct 10
|TBA
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|Feb 28
|Oct 17
|[https://nmboffi.github.io/ Nick Boffi] (CMU)
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|[[#Boffi|TBA]]
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|Li
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|Mar 7
|Oct 24
|Suraj Shankar (Michigan)
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|Spagnolie
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|Mar 14
|Oct 31
|[https://lu.seas.harvard.edu/ Yue Lu] (Harvard) '''[Colloquium]'''
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|[[#Lu|TBA]]
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|Li
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|Mar 21
|Nov 7
|[https://people.llnl.gov/vogman1 Genia Vogman] (LLNL)
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|[[#Vogman|TBA]]
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|Li
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|Mar 28
|Nov 14
|''Spring Break''
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|Apr 4
|Nov 21
|TBA
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|Apr 11
|Nov 28
|[https://meche.mit.edu/people/faculty/pierrel@mit.edu Pierre Lermusiaux] (MIT)
|Thanksgiving
|[[#Lermusiaux|TBA]]
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|Chen
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|Apr 18
|Dec 5
|[https://www.math.uci.edu/~jxin/ Jack Xin] (UC Irvine) '''[Colloquium]'''
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|[[#Xin|TBA]]
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|Apr 25
|Dec 12
|[https://www-users.cse.umn.edu/~bcockbur/ Bernardo Cockburn] (Minnesota)
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|[[#Cockburn|''Transforming stabilization into spaces'']]
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| Stechmann, Fabien
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|May 2
|[https://sylviaherbert.com/ Sylvia Herbert] (UCSD)
|[[#Herbert|TBA]]
|Chen
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==Abstracts==
==Abstract==
 
<div id="Chandler">
====Thomas G. J. Chandler (UW)====
Title: Fluid-structure interactions in active complex fluids
 
Fluid anisotropy is central to many biological systems, from rod-like bacteria that self-assemble into dense swarms that function as fluids, to the cell cytoskeleton where the active alignment of stiff biofilaments is crucial to cell division. Nematic liquid crystals provide a powerful model for studying these complex environments. However, large immersed bodies elastically frustrate these fluids, leading to intricate interactions. This frustration can be alleviated through body deformations, at the cost of introducing internal stresses. Additionally, active stresses, arising from particle motility or molecular activity, disrupt nematic order by driving flows. In this presentation, I will demonstrate how complex variables enable analytical solutions to a broad range of problems, offering key insights into the roles of body geometry, anchoring conditions, interaction dynamics, activity-induced flows, and body deformations in many biological settings.
 
<div id="Fraser">
====Adrian Fraser (Colorado)====
Title: Destabilization of transverse waves by periodic shear flows
 
Periodic shear flows have the peculiar property that they are unstable to large-scale, transverse perturbations, and that this instability proceeds via a negative-eddy-viscosity mechanism (Dubrulle & Frisch, 1991). In this talk, I will show an example where this property causes transverse waves to become linearly unstable: a sinusoidal shear flow in the presence of a uniform, streamwise magnetic field in the framework of incompressible MHD. This flow is unstable to a KH-like instability for sufficiently weak magnetic fields, and uniform magnetic fields permit transverse waves known as Alfvén waves. Under the right conditions, these Alfvén waves become unstable, presenting a separate branch of instability that persists for arbitrarily strong magnetic fields which otherwise suppress the KH-like instability. After characterizing these waves with the help of a simple asymptotic expansion, I will show that they drive soliton-like waves in nonlinear simulations. With time permitting, I will discuss other fluid systems where similar dynamics are or may be found, including stratified flows and plasma drift waves.
 
<div id="Cockburn">
====Bernardo Cockburn (Minnesota)====
Title: Transforming stabilization into spaces
 
In the framework of finite element methods for ordinary differential equations, we consider the continuous Galerkin method (introduced in 72) and the discontinuous Galerkin method (introduced in 73/74). We uncover the fact that both methods discretize the time derivative in exactly the same form, and discuss a few of its consequences. We end by briefly describing our ongoing work on the extension of this result to some Galerkin methods for partial differential equations.


<div id="Chandler"><div id="Fraser"><div id="Luedtke"><div id="Zhdankin"><div id="Boffi"><div id="Shankar"><div id="Loevbak">
<div id="Lu"><div id="Vogman"><div id="Cockburn">
== Archived semesters ==
== Archived semesters ==


*[[Applied/ACMS/Spring2025|Spring 2025]]
*[[Applied/ACMS/Fall2024|Fall 2024]]
*[[Applied/ACMS/Fall2024|Fall 2024]]
*[[Applied/ACMS/Spring2024|Spring 2024]]
*[[Applied/ACMS/Spring2024|Spring 2024]]

Latest revision as of 22:59, 1 June 2025


Applied and Computational Mathematics Seminar


Spring 2025

Date Speaker Title Host(s)
Sep 19
Sep 26
Oct 3
Oct 10
Oct 17
Oct 24
Oct 31
Nov 7
Nov 14
Nov 21
Nov 28 Thanksgiving
Dec 5
Dec 12

Abstract

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