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*'''Where:''' 901 Van Vleck Hall
*'''Where:''' 901 Van Vleck Hall
*'''Organizers:'''  [https://math.wisc.edu/staff/fabien-maurice/ Maurice Fabien], [https://people.math.wisc.edu/~rycroft/ Chris Rycroft], and [https://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie],  
*'''Organizers:'''  [https://math.wisc.edu/staff/fabien-maurice/ Maurice Fabien], [https://people.math.wisc.edu/~rycroft/ Chris Rycroft], and [https://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie],  
*'''To join the ACMS mailing list:''' Send mail to [mailto:acms+join@g-groups.wisc.edu acms+join@g-groups.wisc.edu].
*'''To join the ACMS mailing list:''' Send mail to [mailto:acms+join@g-groups.wisc.edu acms+subscribe@g-groups.wisc.edu].


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== Spring 2024  ==
== '''Fall 2025''' ==
 
{| cellpadding="8"
{| cellpadding="8"
!align="left" | date
! align="left" |Date
!align="left" | speaker
! align="left" |Speaker
!align="left" | title
! align="left" |Title
!align="left" | host(s)
! align="left" |Host(s)
|-
|-
| Feb 2
|Sep 19
|[https://people.math.wisc.edu/~chr/ Chris Rycroft] (UW)
|[https://www.anl.gov/profile/zichao-di Zichao (Wendy) Di] (Argonne National Laboratory)
|''The reference map technique for simulating complex materials and multi-body interactions''
|TBD
* '''Zoom:''' https://uwmadison.zoom.us/j/92068711076?pwd=dnQvOWFRb0xIRWFXaU5CWnVia0VOdz09
|Rycroft/Li
* '''Passcode:''' 847281
|-
|Sep 26
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|-
|-
| Feb 9
|Oct 3
|[https://users.flatironinstitute.org/~sweady/ Scott Weady] (Flatiron Institute)
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|''Entropy methods in active suspensions''
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|Saverio and Laurel
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|-
|-
| Feb 16
|Oct 10
|[http://stokeslet.ucsd.edu/ David Saintillan] (UC San Diego)
|
|''[[Applied/ACMS/absS24#David Saintillan (UC San Diego)|TBA]]''
|
|Saverio and Tom
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|-
|-
| Feb 23
|Oct 17
|[https://cersonsky-lab.github.io/website/ Rose Cersonsky] (UW)
|
|''[[Applied/ACMS/absS24#Rose Cersonsky (UW)|TBA]]''
|
|Chris
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|-
|-
| Mar 1 [4:00pm Colloquium]
|Oct 24
|[https://users.oden.utexas.edu/~pgm/ Per-Gunnar Martinsson] (UT Austin)
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|''[[Applied/ACMS/absS24#Per-Gunnar Martinsson (UT-Austin)|TBA]]''
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|Li
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|-
|-
| Mar 8
|Oct 31
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| Mar 15
|Nov 7
|[https://www.math.purdue.edu/~qi117/personal.html/ Di Qi] (Purdue University)
|
|''[[Applied/ACMS/absS24#Di Qi (Purdue University)|TBA]]''
|
|Chen
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|-
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| Mar 22
|Nov 14
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| Mar 29
|Nov 21
|Spring break
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| Apr 5
|Nov 28
|[https://www.jinlongwu.org/ Jinlong Wu] (UW)
|Thanksgiving
|''[[Applied/ACMS/absS24#Jinlong Wu (UW)|TBA]]''
|
|Saverio
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|-
|-
| Apr 12
|Dec 5
|[https://zayascaban.labs.wisc.edu/ Gabriel Zayas-Caban] (UW)
|
|''[[Applied/ACMS/absS24#Gabriel Zayas-Caban (UW)|TBA]]''
|
|Li
|
|-
| Apr 19
|[https://www.nist.gov/people/anthony-j-kearsley Tony Kearsley] (NIST)
|''[[Applied/ACMS/absS24#Tony Kearsley (NIST)|TBA]]''
|Fabien
|-
| Apr 26
|[https://math.oregonstate.edu/directory/malgorzata-peszynska Malgorzata Peszynska] (Oregon State)
|''[[Applied/ACMS/absS24#Malgorzata Peszynska (Oregon State)|TBA]]''
|Fabien
|-
|-
|Dec 12
|
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|}
|}


== Abstracts ==
==Abstract==


==== Chris Rycroft (UW–Madison) ====
<div id="Chandler"><div id="Fraser"><div id="Luedtke"><div id="Zhdankin"><div id="Boffi"><div id="Shankar"><div id="Loevbak">
Title: The reference map technique for simulating complex materials and multi-body interactions
<div id="Lu"><div id="Vogman"><div id="Cockburn">
 
== Archived semesters ==
Conventional computational methods often create a dilemma for fluid–structure interaction problems. Typically, solids are simulated using a Lagrangian approach with grid that moves with the material, whereas fluids are simulated using an Eulerian approach with a fixed spatial grid, requiring some type of interfacial coupling between the two different perspectives. Here, a fully Eulerian method for simulating structures immersed in a fluid will be presented [1]. By introducing a reference map variable to model finite-deformation constitutive relations in the structures on the same grid as the fluid, the interfacial coupling problem is highly simplified. The method is particularly well suited for simulating soft, highly-deformable materials and many-body contact problems [2], and several examples in two and three dimensions [3] will be presented.
 
# K. Kamrin, C. H. Rycroft, and J.-C. Nave, J. Mech. Phys. Solids '''60''', 1952–1969 (2012). [https://doi.org/10.1016/j.jmps.2012.06.003 <nowiki>[DOI link]</nowiki>]
# C. H. Rycroft ''et al.'', J. Fluid Mech. '''898''', A9 (2020). [https://doi.org/10.1017/jfm.2020.353 <nowiki>[DOI link]</nowiki>]
# Y. L. Lin, N. J. Derr, and C. H. Rycroft, Proc. Natl. Acad. Sci. '''119''', e2105338118 (2022). [https://doi.org/10.1073/pnas.2105338118 <nowiki>[DOI link]</nowiki>]
 
 
==== Chris Rycroft (UW–Madison) ====
 
Title: Entropy methods in active suspensions
 
Collections of active particles, such as suspensions of E. coli or mixtures of microtubules and molecular motors, can exhibit rich non-equilibrium dynamics due to a combination of activity, hydrodynamic interactions, and steric stresses. Continuum kinetic theories, which characterize the set of particle configurations through a continuous distribution function, provide a powerful framework for analyzing such systems and connecting their micro- to macroscopic dynamics. The probabilistic formulation of kinetic theories leads naturally to a characterization in terms of entropy, whether thermodynamic or information-theoretic. In equilibrium systems, entropy strictly increases and always tends towards steady state. This no longer holds in active systems, however entropy still has a convenient mathematical structure. In this talk, we use entropy methods, specifically variational principles involving the relative entropy functional, to study the nonlinear dynamics and stability of active suspensions in the context of the Doi-Saintillan-Shelley kinetic theory. We first present a class of moment closures that arise as constrained minimizers of the relative entropy, and show these closures preserve the kinetic theory's stability and entropic structure while admitting efficient numerical simulation. We then derive variational bounds on relative entropy fluctuations for apolar active suspensions that are closely related to the moment closures. These bounds provide conditions for global stability and yield estimates of time-averaged order parameters. Finally, we discuss applications of these methods to polar active suspensions.
 
== Future semesters ==


*[[Applied/ACMS/Spring2025|Spring 2025]]
*[[Applied/ACMS/Fall2024|Fall 2024]]
*[[Applied/ACMS/Fall2024|Fall 2024]]
 
*[[Applied/ACMS/Spring2024|Spring 2024]]
== Archived semesters ==
 
*[[Applied/ACMS/Fall2023|Fall 2023]]
*[[Applied/ACMS/Fall2023|Fall 2023]]
*[[Applied/ACMS/Spring2023|Spring 2023]]
*[[Applied/ACMS/Spring2023|Spring 2023]]

Latest revision as of 03:04, 2 June 2025


Applied and Computational Mathematics Seminar


Fall 2025

Date Speaker Title Host(s)
Sep 19 Zichao (Wendy) Di (Argonne National Laboratory) TBD Rycroft/Li
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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