Difference between revisions of "PDE Geometric Analysis seminar"

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= PDE and Geometric Analysis Seminar - Fall 2010=
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The seminar will be held  in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.
  
The seminar will be held  in room B115 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm
+
===[[Previous PDE/GA seminars]]===
 +
===[[Fall 2021-Spring 2022 | Tentative schedule for Fall 2021-Spring 2022]]===
  
== Seminar Schedule ==
 
{| cellpadding="8"
 
!align="left" | date 
 
!align="left" | speaker
 
!align="left" | title
 
!align="left" | host(s)
 
|-
 
|Sept 13
 
|Fausto Ferrari (Bologna)
 
|[[#Fausto Ferrari (Bologna)|
 
''Semilinear PDEs and some symmetry properties of stable solutions'']]
 
|Misha
 
|-
 
|Sept 27
 
|Arshak Petrosyan (Purdue)
 
|[[#Arshak Petrosyan (Purdue)|
 
''Nonuniqueness in a free boundary problem from combustion'']]
 
|Misha
 
|-
 
|Oct 7, Thursday, 4 pm, Room: TBA.  '''Special day, time & room.'''
 
|Changyou Wang (U. of Kentucky)
 
|[[#Changyou Wang (U. of Kentucky)|
 
''Phase transition for higher dimensional wells'']]
 
|Misha
 
|-
 
|Oct 11
 
|Philippe LeFloch (Paris VI)
 
|[[#Philippe LeFloch (Paris VI)|
 
''TBA'']]
 
|Misha
 
|-
 
|Oct 29 '''Friday'''
 
|[http://people.virginia.edu/~im3p/ Irina Mitrea] (IMA & U of Virginia)
 
|[[#Irina Mitrea |
 
''TBA'']]
 
|[https://www.math.wisc.edu/~wimaw/ WiMaW]
 
|-
 
|-
 
|Nov 1
 
|Panagiota Daskalopoulos (Columbia U)
 
|[[#Panagiota Daskalopoulos (Columbia U)|
 
''TBA'']]
 
|Misha
 
|-
 
|Nov 8
 
|Maria Gualdani (UT Austin)
 
|[[#Maria Gualdani (UT Austin)|
 
''TBA'']]
 
|Misha
 
|-
 
|Date TBA
 
|Mikhail Feldman (UW Madison)
 
|''TBA''
 
|Local speaker
 
|-
 
|Date TBA
 
|Sigurd Angenent (UW Madison)
 
|''TBA''
 
|Local speaker
 
|-
 
|}
 
== Abstracts ==
 
===Fausto Ferrari (Bologna)===
 
''Semilinear PDEs and some symmetry properties of stable solutions''
 
  
I will deal with stable solutions of semilinear elliptic PDE's
 
and some of their symmetry's properties. Moreover, I will introduce some weighted Poincaré inequalities obtained by combining the notion of stable solution with the definition of weak solution.
 
  
===Arshak Petrosyan (Purdue)===
+
== PDE GA Seminar Schedule Fall 2020-Spring 2021 ==
''Nonuniqueness in a free boundary problem from combustion''
+
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. Robert M. Strain - Global mild solutions of the Landau and non-cutoff Boltzmann equation. https://www.youtube.com/watch?v=UWrCItk2euo&feature=youtu.be
 +
 
 +
2. Elena Kosygina - Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension https://www.youtube.com/watch?v=tVZv0ftT3PM
 +
 
 +
 
 +
 
 +
'''Week 5 (9/27/2020-10/03/2020)'''
 +
 
 +
1. Isabelle Gallagher - From Newton to Boltzmann, fluctuations and large deviations. https://www.youtube.com/watch?v=BkrKkUVadDo
 +
 
 +
2.  Connor Mooney - The Bernstein problem for elliptic functionals, https://www.youtube.com/watch?v=lSfnyfCL74c
  
We consider a parabolic free boundary problem with a fixed gradient condition
 
which serves as a simplified model for the propagation of premixed equidiffusional
 
flames. We give a rigorous justification of an example due to J.L. V ́azquez that
 
the initial data in the form of two circular humps leads to the nonuniqueness of limit
 
solutions if the supports of the humps touch at the time of their maximal expansion.
 
  
This is a joint work with Aaron Yip.
+
'''Week 6 (10/04/2020-10/10/2020)'''
  
 +
1. Felix Otto - The thresholding scheme for mean curvature flow and De Giorgi's ideas for gradient flows. https://www.youtube.com/watch?v=7FQsiZpQA7E&list=PLf_ipOSbWC86n18q4JMn_1J04S90FpdeE&index=3
  
===Changyou Wang (U. of Kentucky)===
+
2.  
''Phase transition for higher dimensional wells''
 
  
For a potential function <math>F</math> that has two global minimum sets consisting of two compact connected
 
Riemannian submanifolds in <math style="vertical-align=100%" >\mathbb{R}^k</math>, we consider the singular perturbation problem:
 
  
Minimizing <math>\int \left(|\nabla u|^2+\frac{1}{\epsilon^2} F(u)\right)</math> under given Dirichlet boundary data.
 
  
I will discuss a recent joint work with F.H.Lin and X.B.Pan on the asymptotic,  as  the parameter <math>\epsilon</math>
+
{| cellpadding="8"
tends to zero, in terms of the area of minimal hypersurface interfaces, the minimal connecting energy, and
+
!style="width:20%" align="left" | date 
the energy of minimizing harmonic maps into the phase manifolds under both Dirichlet and partially free boundary
+
!align="left" | speaker
data. Our results in particular addressed the static case of the so-called Keller-Rubinstein-Sternberg problem.
+
!align="left" | title
 +
!style="width:20%" align="left" | host(s)
 +
|-  
 +
|}
  
===Philippe LeFloch (Paris VI)===
+
== Abstracts ==
''TBA''
 
  
===Irina Mitrea===
+
=== ===
''TBA''
 
  
===Panagiota Daskalopoulos (Columbia U)===
+
Title: 
''TBA''
 
  
===Maria Gualdani (UT Austin)===
+
Abstract:
''TBA''
 

Latest revision as of 10:26, 29 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. Robert M. Strain - Global mild solutions of the Landau and non-cutoff Boltzmann equation. https://www.youtube.com/watch?v=UWrCItk2euo&feature=youtu.be

2. Elena Kosygina - Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension https://www.youtube.com/watch?v=tVZv0ftT3PM


Week 5 (9/27/2020-10/03/2020)

1. Isabelle Gallagher - From Newton to Boltzmann, fluctuations and large deviations. https://www.youtube.com/watch?v=BkrKkUVadDo

2. Connor Mooney - The Bernstein problem for elliptic functionals, https://www.youtube.com/watch?v=lSfnyfCL74c


Week 6 (10/04/2020-10/10/2020)

1. Felix Otto - The thresholding scheme for mean curvature flow and De Giorgi's ideas for gradient flows. https://www.youtube.com/watch?v=7FQsiZpQA7E&list=PLf_ipOSbWC86n18q4JMn_1J04S90FpdeE&index=3

2.


date speaker title host(s)

Abstracts

Title:

Abstract: