Difference between revisions of "PDE Geometric Analysis seminar"

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(PDE GA Seminar Schedule Fall 2020-Spring 2021)
 
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===[[Previous PDE/GA seminars]]===
 
===[[Previous PDE/GA seminars]]===
===[[Fall 2015 | Tentative schedule for Fall 2015]]===
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===[[Fall 2021-Spring 2022 | Tentative schedule for Fall 2021-Spring 2022]]===
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== PDE GA Seminar Schedule Fall 2020-Spring 2021 ==
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Welcome to the new mode of our PDEGA seminar this semester. Each week, we'll introduce to you two talks that are interesting and related to our interests. As the videos are already on Youtube or other platforms, you could choose to watch them whenever you want to; our goal here is merely to pick our favorite ones out of thousands of already available recorded talks. 
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'''Week 1 (9/1/2020-9/5/2020)'''
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1. Paul Rabinowitz - The calculus of variations and phase transition problems.
 +

https://www.youtube.com/watch?v=vs3rd8RPosA
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2. Frank Merle - On the implosion of a three dimensional compressible fluid.
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https://www.youtube.com/watch?v=5wSNBN0IRdA&feature=youtu.be 
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'''Week 2 (9/6/2020-9/12/2020)'''
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1. Yoshikazu Giga - On large time behavior of growth by birth and spread.
 +
https://www.youtube.com/watch?v=4ndtUh38AU0
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 +
2. Tarek Elgindi - Singularity formation in incompressible fluids. https://youtu.be/29zUjm7xFlI
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'''Week 3 (9/13/2020-9/19/2020)'''
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1. Eugenia Malinnikova - Two questions of Landis and their applications. https://www.youtube.com/watch?v=lpTsW1noWTQ
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2. Pierre Germain - On the derivation of the kinetic wave equation. https://youtu.be/ZbCjKwQ3KcE
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'''Week 4 (9/20/2020-9/26/2020)'''
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1. 
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2.  Robert M. Strain - Global mild solutions of the Landau and non-cutoff Boltzmann equation. https://www.youtube.com/watch?v=UWrCItk2euo&feature=youtu.be
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= Seminar Schedule Spring 2015 =
 
 
{| cellpadding="8"
 
{| cellpadding="8"
!align="left" | date   
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!style="width:20%" align="left" | date   
 
!align="left" | speaker
 
!align="left" | speaker
 
!align="left" | title
 
!align="left" | title
!align="left" | host(s)
+
!style="width:20%" align="left" | host(s)
|-
+
|-   
|January 21 (Departmental Colloquium: 4PM, B239)
 
|Jun Kitagawa (Toronto) 
 
|[[#Jun Kitagawa (Toronto)  | Regularity theory for generated Jacobian equations: from optimal transport to geometric optics   ]]
 
|Feldman
 
|-
 
|January 26
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|February 2
 
|Jessica Lin (Madison)
 
|[[#Jessica Lin (Madison)  | TBA ]]
 
|Kim
 
|-
 
|February 9
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|February 16
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|February 17 (joint with Analysis Seminar: 4PM, B139)
 
|Chanwoo Kim (Madison)
 
|[[#Chanwoo Kim (Madison)  | Hydrodynamic limit from the Boltzmann to the Navier-Stokes-Fourier ]]
 
|Seeger
 
|-
 
|February 23
 
|Jennifer Beichman (Madison) 
 
|[[#Jennifer Beichman (Madison)  | TBA ]]
 
| Kim
 
|-
 
|March 2
 
|Benoit Pausader (Princeton)
 
|[[#Benoit Pausader (Princeton) | TBA]]
 
|Kim
 
|-
 
|March 9
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|March 16
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|March 23
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|March 30
 
| Spring recess Mar 28-Apr 5 (S-N)
 
|[[#  |  ]]
 
|
 
|-
 
|April 6
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|April 13
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|April 20
 
|Yuan Lou (Ohio State)
 
|[[#Yuan Lou (Ohio State) | TBA]]
 
|Zlatos
 
|-
 
|April 27
 
|
 
|[[#  |  ]]
 
|
 
|-
 
|May 4
 
|
 
|[[#  |  ]]
 
|
 
|-
 
 
|}
 
|}
 
  
 
== Abstracts ==
 
== Abstracts ==
  
===Jun Kitagawa (Toronto)===
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=== ===
  
Regularity theory for generated Jacobian equations: from optimal transport to geometric optics
+
Title:
  
Equations of Monge-Ampere type arise in numerous contexts, and solutions often exhibit very subtle qualitative and quantitative properties; this is owing to the highly nonlinear nature of the equation, and its degeneracy (in the sense of ellipticity). Motivated by an example from geometric optics, I will talk about the class of Generated Jacobian Equations; recently introduced by Trudinger, this class also encompasses, for example, optimal transport, the Minkowski problem, and the classical Monge-Ampere equation. I will present a new regularity result for weak solutions of these equations, which is new even in the case of equations arising from near-field reflector problems (of interest from a physical and practical point of view). This talk is based on joint works with N. Guillen.
+
Abstract:

Latest revision as of 09:39, 19 September 2020

The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

Previous PDE/GA seminars

Tentative schedule for Fall 2021-Spring 2022

PDE GA Seminar Schedule Fall 2020-Spring 2021

Welcome to the new mode of our PDEGA seminar this semester. Each week, we'll introduce to you two talks that are interesting and related to our interests. As the videos are already on Youtube or other platforms, you could choose to watch them whenever you want to; our goal here is merely to pick our favorite ones out of thousands of already available recorded talks. 

Week 1 (9/1/2020-9/5/2020)

1. Paul Rabinowitz - The calculus of variations and phase transition problems. 
https://www.youtube.com/watch?v=vs3rd8RPosA

2. Frank Merle - On the implosion of a three dimensional compressible fluid. https://www.youtube.com/watch?v=5wSNBN0IRdA&feature=youtu.be 

Week 2 (9/6/2020-9/12/2020)

1. Yoshikazu Giga - On large time behavior of growth by birth and spread. https://www.youtube.com/watch?v=4ndtUh38AU0

2. Tarek Elgindi - Singularity formation in incompressible fluids. https://youtu.be/29zUjm7xFlI


Week 3 (9/13/2020-9/19/2020)

1. Eugenia Malinnikova - Two questions of Landis and their applications. https://www.youtube.com/watch?v=lpTsW1noWTQ

2. Pierre Germain - On the derivation of the kinetic wave equation. https://youtu.be/ZbCjKwQ3KcE


Week 4 (9/20/2020-9/26/2020)

1.

2. Robert M. Strain - Global mild solutions of the Landau and non-cutoff Boltzmann equation. https://www.youtube.com/watch?v=UWrCItk2euo&feature=youtu.be


date speaker title host(s)

Abstracts

Title:

Abstract: