# Difference between revisions of "PDE Geometric Analysis seminar"

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===[[Previous PDE/GA seminars]]=== | ===[[Previous PDE/GA seminars]]=== | ||

− | ===[[Fall | + | ===[[Fall 2020-Spring 2021 | Tentative schedule for Fall 2020-Spring 2021]]=== |

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+ | == PDE GA Seminar Schedule Fall 2019-Spring 2020 == | ||

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!align="left" | speaker | !align="left" | speaker | ||

!align="left" | title | !align="left" | title | ||

− | !align="left" | host(s) | + | !style="width:20%" align="left" | host(s) |

+ | |- | ||

+ | |Sep 9 | ||

+ | | Scott Smith (UW Madison) | ||

+ | |[[#Scott Smith | Recent progress on singular, quasi-linear stochastic PDE ]] | ||

+ | | Kim and Tran | ||

+ | |- | ||

+ | |Sep 14-15 | ||

+ | | | ||

+ | |[[ # |AMS Fall Central Sectional Meeting https://www.ams.org/meetings/sectional/2267_program.html ]] | ||

+ | | | ||

+ | |- | ||

+ | |Sep 23 | ||

+ | | Son Tu (UW Madison) | ||

+ | |[[#Son Tu | State-Constraint static Hamilton-Jacobi equations in nested domains ]] | ||

+ | | Kim and Tran | ||

+ | |- | ||

+ | |Sep 28-29, VV901 | ||

+ | | https://www.ki-net.umd.edu/content/conf?event_id=993 | ||

+ | | | Recent progress in analytical aspects of kinetic equations and related fluid models | ||

+ | | | ||

+ | |- | ||

+ | |Oct 7 | ||

+ | | Jin Woo Jang (Postech) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Kim | ||

+ | |- | ||

+ | |Oct 14 | ||

+ | | Stefania Patrizi (UT Austin) | ||

+ | |[[#Stefania Patrizi | TBA ]] | ||

+ | | Tran | ||

+ | |- | ||

+ | |Oct 21 | ||

+ | | Claude Bardos (Université Paris Denis Diderot, France) | ||

+ | |[[#Claude Bardos | From d'Alembert paradox to 1984 Kato criteria via 1941 1/3 Kolmogorov law and 1949 Onsager conjecture ]] | ||

+ | | Li | ||

+ | |- | ||

+ | |Oct 28 | ||

+ | | Albert Ai (UW Madison) | ||

+ | |[[#Albert Ai | TBA ]] | ||

+ | | Ifrim | ||

+ | |- | ||

+ | |Nov 4 | ||

+ | | Yunbai Cao (UW Madison) | ||

+ | |[[#Yunbai Cao | TBA ]] | ||

+ | | Kim and Tran | ||

+ | |- | ||

+ | |Nov 11 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |Nov 18 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

|- | |- | ||

− | | | + | |Nov 25 |

− | + | | Mathew Langford (UT Knoxville) | |

− | + | |[[#Speaker | TBA ]] | |

− | + | | Angenent | |

− | + | |- | |

− | + | |- | |

− | + | |Feb 17 | |

− | | | + | | Yannick Sire (JHU) |

− | |[[# | + | |[[#Yannick Sire (JHU) | TBA ]] |

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− | |[[# | ||

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| Tran | | Tran | ||

− | |- | + | |- |

− | + | |Feb 24 | |

− | |- | + | | Speaker (Institute) |

− | |March | + | |[[#Speaker | TBA ]] |

− | | | + | | Host |

− | |[[#| ]] | + | |- |

− | | | + | |March 2 |

− | |- | + | | Theodora Bourni (UT Knoxville) |

− | + | |[[#Speaker | TBA ]] | |

+ | | Angenent | ||

+ | |- | ||

+ | |March 9 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |March 16 | ||

+ | | No seminar (spring break) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |March 23 | ||

+ | | Jared Speck (Vanderbilt) | ||

+ | |[[#Jared Speck | TBA ]] | ||

+ | | SCHRECKER | ||

+ | |- | ||

+ | |March 30 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |April 6 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |April 13 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |- | ||

+ | |April 20 | ||

+ | | Hyunju Kwon (IAS) | ||

+ | |[[#Hyunju Kwon | TBA ]] | ||

+ | | Kim | ||

+ | |- | ||

+ | |April 27 | ||

+ | | Speaker (Institute) | ||

+ | |[[#Speaker | TBA ]] | ||

+ | | Host | ||

+ | |} | ||

− | + | == Abstracts == | |

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− | + | ===Scott Smith=== | |

− | |||

− | |||

− | |||

− | |||

− | + | Title: Recent progress on singular, quasi-linear stochastic PDE | |

− | |||

− | |||

− | |||

− | |||

− | + | Abstract: This talk with focus on quasi-linear parabolic equations with an irregular forcing . These equations are ill-posed in the traditional sense of distribution theory. They require flexibility in the notion of solution as well as new a priori bounds. Drawing on the philosophy of rough paths and regularity structures, we develop the analytic part of a small data solution theory. This is joint work with Felix Otto, Hendrik Weber, and Jonas Sauer. | |

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− | + | ===Son Tu=== | |

− | |||

− | |||

− | |||

− | |||

− | |||

− | + | Title: State-Constraint static Hamilton-Jacobi equations in nested domains | |

− | = | + | Abstract: We study state-constraint static Hamilton-Jacobi equations in a sequence of domains $\{\Omega_k\}$ in $\mathbb R^n$ such that $\Omega_k \subset \Omega_{k+1}$ for all $k \in \mathbb N$. We obtain rates of convergence of $u_k$, the solution to the state-constraint problem in $\Omega_k$, to $u$, the solution to the corresponding problem in $\Omega=\bigcup_k \Omega_k$. In many cases, the rates obtained are proven to be optimal (it's a joint work with Yeoneung Kim and Hung V. Tran). |

## Latest revision as of 11:37, 19 September 2019

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

## Contents

### Previous PDE/GA seminars

### Tentative schedule for Fall 2020-Spring 2021

## PDE GA Seminar Schedule Fall 2019-Spring 2020

date | speaker | title | host(s) |
---|---|---|---|

Sep 9 | Scott Smith (UW Madison) | Recent progress on singular, quasi-linear stochastic PDE | Kim and Tran |

Sep 14-15 | AMS Fall Central Sectional Meeting https://www.ams.org/meetings/sectional/2267_program.html | ||

Sep 23 | Son Tu (UW Madison) | State-Constraint static Hamilton-Jacobi equations in nested domains | Kim and Tran |

Sep 28-29, VV901 | https://www.ki-net.umd.edu/content/conf?event_id=993 | Recent progress in analytical aspects of kinetic equations and related fluid models | |

Oct 7 | Jin Woo Jang (Postech) | TBA | Kim |

Oct 14 | Stefania Patrizi (UT Austin) | TBA | Tran |

Oct 21 | Claude Bardos (Université Paris Denis Diderot, France) | From d'Alembert paradox to 1984 Kato criteria via 1941 1/3 Kolmogorov law and 1949 Onsager conjecture | Li |

Oct 28 | Albert Ai (UW Madison) | TBA | Ifrim |

Nov 4 | Yunbai Cao (UW Madison) | TBA | Kim and Tran |

Nov 11 | Speaker (Institute) | TBA | Host |

Nov 18 | Speaker (Institute) | TBA | Host |

Nov 25 | Mathew Langford (UT Knoxville) | TBA | Angenent |

Feb 17 | Yannick Sire (JHU) | TBA | Tran |

Feb 24 | Speaker (Institute) | TBA | Host |

March 2 | Theodora Bourni (UT Knoxville) | TBA | Angenent |

March 9 | Speaker (Institute) | TBA | Host |

March 16 | No seminar (spring break) | TBA | Host |

March 23 | Jared Speck (Vanderbilt) | TBA | SCHRECKER |

March 30 | Speaker (Institute) | TBA | Host |

April 6 | Speaker (Institute) | TBA | Host |

April 13 | Speaker (Institute) | TBA | Host |

April 20 | Hyunju Kwon (IAS) | TBA | Kim |

April 27 | Speaker (Institute) | TBA | Host |

## Abstracts

### Scott Smith

Title: Recent progress on singular, quasi-linear stochastic PDE

Abstract: This talk with focus on quasi-linear parabolic equations with an irregular forcing . These equations are ill-posed in the traditional sense of distribution theory. They require flexibility in the notion of solution as well as new a priori bounds. Drawing on the philosophy of rough paths and regularity structures, we develop the analytic part of a small data solution theory. This is joint work with Felix Otto, Hendrik Weber, and Jonas Sauer.

### Son Tu

Title: State-Constraint static Hamilton-Jacobi equations in nested domains

Abstract: We study state-constraint static Hamilton-Jacobi equations in a sequence of domains $\{\Omega_k\}$ in $\mathbb R^n$ such that $\Omega_k \subset \Omega_{k+1}$ for all $k \in \mathbb N$. We obtain rates of convergence of $u_k$, the solution to the state-constraint problem in $\Omega_k$, to $u$, the solution to the corresponding problem in $\Omega=\bigcup_k \Omega_k$. In many cases, the rates obtained are proven to be optimal (it's a joint work with Yeoneung Kim and Hung V. Tran).