Applied/ACMS: Difference between revisions
(470 intermediate revisions by 19 users not shown) | |||
Line 5: | Line 5: | ||
*'''When:''' Fridays at 2:25pm (except as otherwise indicated) | *'''When:''' Fridays at 2:25pm (except as otherwise indicated) | ||
*'''Where:''' 901 Van Vleck Hall | *'''Where:''' 901 Van Vleck Hall | ||
*'''Organizers:''' [ | *'''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:''' | *'''To join the ACMS mailing list:''' Send mail to [mailto:acms+join@g-groups.wisc.edu acms+subscribe@g-groups.wisc.edu]. | ||
<br> | <br> | ||
== '''Spring 2025''' == | |||
== | |||
{| cellpadding="8" | {| cellpadding="8" | ||
!align="left" | | ! align="left" |Date | ||
!align="left" | | ! align="left" |Speaker | ||
!align="left" | | ! align="left" |Title | ||
!align="left" | | ! align="left" |Host(s) | ||
|- | |||
|Jan 31 | |||
|[https://people.math.wisc.edu/~tgchandler/ Thomas Chandler] (UW) | |||
|[[#Chandler|TBA]] | |||
| | |||
|- | |||
|Feb 7 | |||
|[https://www.colorado.edu/aps/adrian-fraser Adrian Fraser] (Colorado) | |||
|[[#Fraser|''Destabilization of transverse waves by periodic shear flows'']] | |||
|Spagnolie | |||
|- | |||
|Feb 14 | |||
|TBA | |||
| | |||
| | |||
|- | |- | ||
| | |Feb 21 | ||
| | |TBA | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |Feb 28 | ||
|[ | |[https://nmboffi.github.io/ Nick Boffi] (CMU) | ||
| | |[[#Boffi|TBA]] | ||
| | |Li | ||
|- | |- | ||
| | |Mar 7 | ||
| | |TBA | ||
| | | | ||
| | |||
|- | |- | ||
| | |Mar 14 | ||
|[https:// | |[https://lu.seas.harvard.edu/ Yue Lu] (Harvard) '''[Colloquium]''' | ||
| | |[[#Lu|TBA]] | ||
| | |Li | ||
|- | |- | ||
| | |Mar 21 | ||
|[https:// | |[https://people.llnl.gov/vogman1 Genia Vogman] (LLNL) | ||
| | |[[#Vogman|TBA]] | ||
| Li | |Li | ||
|- | |- | ||
| | |Mar 28 | ||
|''Spring Break'' | |||
|'' | | | ||
| | | | ||
|- | |- | ||
| | |Apr 4 | ||
| | |TBA | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |Apr 11 | ||
|[ | |[https://meche.mit.edu/people/faculty/pierrel@mit.edu Pierre Lermusiaux] (MIT) | ||
| | |[[#Lermusiaux|TBA]] | ||
| | |Chen | ||
|- | |- | ||
| | |Apr 18 | ||
|[https:// | |[https://www.math.uci.edu/~jxin/ Jack Xin] (UC Irvine) '''[Colloquium]''' | ||
| | |[[#Xin|TBA]] | ||
| | | | ||
|- | |- | ||
| | |Apr 25 | ||
|[https:// | |[https://www-users.cse.umn.edu/~bcockbur/ Bernardo Cockburn] (Minnesota) | ||
| | |[[#Cockburn|''Transforming stabilization into spaces'']] | ||
| | | Stechmann, Fabien | ||
|- | |- | ||
|May 2 | |||
|[https://sylviaherbert.com/ Sylvia Herbert] (UCSD) | |||
|[[#Herbert|TBA]] | |||
|Chen | |||
|} | |} | ||
== | ==Abstracts== | ||
<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. | |||
====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="Bal"><div id="Portone"><div id="Damle"><div id="Sprague"><div id="Holmes-Cerfon"><div id="Sun"><div id="Maxian"><div id="Lavi"> | |||
== Archived semesters == | == Archived semesters == | ||
*[[Applied/ACMS/Fall2024|Fall 2024]] | |||
*[[Applied/ACMS/Spring2024|Spring 2024]] | |||
*[[Applied/ACMS/Fall2023|Fall 2023]] | |||
*[[Applied/ACMS/Spring2023|Spring 2023]] | |||
*[[Applied/ACMS/Fall2022|Fall 2022]] | |||
*[[Applied/ACMS/Spring2022|Spring 2022]] | |||
*[[Applied/ACMS/Fall2021|Fall 2021]] | |||
*[[Applied/ACMS/Spring2021|Spring 2021]] | |||
*[[Applied/ACMS/Fall2020|Fall 2020]] | |||
*[[Applied/ACMS/Spring2020|Spring 2020]] | |||
*[[Applied/ACMS/Fall2019|Fall 2019]] | |||
*[[Applied/ACMS/Spring2019|Spring 2019]] | *[[Applied/ACMS/Spring2019|Spring 2019]] | ||
*[[Applied/ACMS/Fall2018|Fall 2018]] | *[[Applied/ACMS/Fall2018|Fall 2018]] |
Latest revision as of 21:41, 22 January 2025
Applied and Computational Mathematics Seminar
- When: Fridays at 2:25pm (except as otherwise indicated)
- Where: 901 Van Vleck Hall
- Organizers: Maurice Fabien, Chris Rycroft, and Saverio Spagnolie,
- To join the ACMS mailing list: Send mail to acms+subscribe@g-groups.wisc.edu.
Spring 2025
Date | Speaker | Title | Host(s) |
---|---|---|---|
Jan 31 | Thomas Chandler (UW) | TBA | |
Feb 7 | Adrian Fraser (Colorado) | Destabilization of transverse waves by periodic shear flows | Spagnolie |
Feb 14 | TBA | ||
Feb 21 | TBA | ||
Feb 28 | Nick Boffi (CMU) | TBA | Li |
Mar 7 | TBA | ||
Mar 14 | Yue Lu (Harvard) [Colloquium] | TBA | Li |
Mar 21 | Genia Vogman (LLNL) | TBA | Li |
Mar 28 | Spring Break | ||
Apr 4 | TBA | ||
Apr 11 | Pierre Lermusiaux (MIT) | TBA | Chen |
Apr 18 | Jack Xin (UC Irvine) [Colloquium] | TBA | |
Apr 25 | Bernardo Cockburn (Minnesota) | Transforming stabilization into spaces | Stechmann, Fabien |
May 2 | Sylvia Herbert (UCSD) | TBA | Chen |
Abstracts
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.
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.
Archived semesters
- Fall 2024
- Spring 2024
- Fall 2023
- Spring 2023
- Fall 2022
- Spring 2022
- Fall 2021
- Spring 2021
- Fall 2020
- Spring 2020
- Fall 2019
- Spring 2019
- Fall 2018
- Spring 2018
- Fall 2017
- Spring 2017
- Fall 2016
- Spring 2016
- Fall 2015
- Spring 2015
- Fall 2014
- Spring 2014
- Fall 2013
- Spring 2013
- Fall 2012
- Spring 2012
- Fall 2011
- Spring 2011
- Fall 2010
Return to the Applied Mathematics Group Page