Spring 2025 Analysis Seminar: Difference between revisions
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* Andreas Seeger: seeger at math dot wisc dot edu | * Andreas Seeger: seeger at math dot wisc dot edu | ||
Time and Room: Wed 3:30--4:30 Van Vleck | Time and Room: Wed 3:30--4:30 Van Vleck B235 (new room in the spring semester!) | ||
In some cases the seminar may be scheduled at different time to accommodate speakers. | In some cases the seminar may be scheduled at different time to accommodate speakers. | ||
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|Thierry Laurens | |Thierry Laurens | ||
|UW | |UW | ||
| | |A priori estimates for generalized KdV equations in H^{-1} | ||
|Andreas | |Andreas | ||
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|We, Feb 5 | |We, Feb 5 | ||
| | |Sergey Denisov | ||
| | |UW | ||
|Dispersion effects for evolution equations and the case for Brascamp-Lieb bounds | |||
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|We, Feb 26 | |We, Feb 26 | ||
|Galia Dafni | |Galia Dafni | ||
|Concordia University | |Concordia University | ||
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|We, Mar 5 | |We, Mar 5 | ||
|Manik Dhar | |||
|MIT | |||
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| | |Terry | ||
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|We, Mar 19 | |We, Mar 19 | ||
| | |Shengwen Gan | ||
| | |UW Madison | ||
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|We, Apr 2 | |We, Apr 2 | ||
|Robert Schippa | |||
|UC Berkeley | |||
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| | |Andreas | ||
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|We, Apr 9 | |We, Apr 9 | ||
|Junjie Zhu | |||
|UBC | |||
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| | |Terry | ||
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|We, Apr 16 | |We, Apr 16 | ||
|Ziming Shi | |||
|UC-Irvine | |||
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| | |Xianghong | ||
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|We, Apr 23 | |We, Apr 23 | ||
|Liding Yao | |||
|Ohio State University | |||
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| | |Xianghong | ||
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===[[ | ===[[Thierry Laurens]]=== | ||
Title: | Title: A priori estimates for generalized KdV equations in H^{-1} | ||
Abstract: We will discuss local-in-time a priori estimates in H^{-1} for a family of generalized KdV equations on the line. This is the first estimate for any non-integrable perturbation of KdV that matches the regularity of the sharp well-posedness theory for KdV. In particular, our analysis applies to models for long waves in a shallow channel of water with a variable bottom. This is joint work with Mihaela Ifrim. | |||
===[[Sergey Denisov]]=== | |||
Title: Dispersion effects for evolution equations and the case for Brascamp-Lieb bounds | |||
Abstract | Abstract: For the Schrödinger time-dependent evolution on the torus, Bourgain proved that the Sobolev norms can grow only very slowly in time if the potential is smooth. Our motivation is to study the energy transfer phenomenon in the Euclidean case for rough potentials and generic values of a parameter. To control the main term in the Duhamel expansion, we apply the modified wave packet decomposition. If time allows, the role of Brascamp-Lieb bounds in that analysis will be explained. | ||
Latest revision as of 01:31, 31 January 2025
Organizers: Shengwen Gan, Terry Harris and Andreas Seeger
Emails:
- Shengwen Gan: sgan7 at math dot wisc dot edu
- Terry Harris: tlharris4 at math dot wisc dot edu
- Andreas Seeger: seeger at math dot wisc dot edu
Time and Room: Wed 3:30--4:30 Van Vleck B235 (new room in the spring semester!)
In some cases the seminar may be scheduled at different time to accommodate speakers.
If you would like to subscribe to the Analysis seminar list, send a blank email to analysis+subscribe (at) g-groups (dot) wisc (dot) edu
| Date | Speaker | Institution | Title | Host(s) | Notes (e.g. unusual room/day/time) | ||
|---|---|---|---|---|---|---|---|
| We, Jan.29 | Thierry Laurens | UW | A priori estimates for generalized KdV equations in H^{-1} | Andreas | |||
| We, Feb 5 | Sergey Denisov | UW | Dispersion effects for evolution equations and the case for Brascamp-Lieb bounds | ||||
| We, Feb 12 | Dallas Albritton | UW | Andreas | ||||
| We, Feb 19 | Xiaojun Huang | Rutgers University | Xianghong | ||||
| We, Feb 26 | Galia Dafni | Concordia University | Andreas and Betsy | ||||
| We, Mar 5 | Manik Dhar | MIT | Terry | ||||
| We, Mar 12 | Brian Simanek | Baylor University | Sergey | ||||
| We, Mar 19 | Shengwen Gan | UW Madison | |||||
| We, Mar 26, no seminar | |||||||
| We, Apr 2 | Robert Schippa | UC Berkeley | Andreas | ||||
| We, Apr 9 | Junjie Zhu | UBC | Terry | ||||
| We, Apr 16 | Ziming Shi | UC-Irvine | Xianghong | ||||
| We, Apr 23 | Liding Yao | Ohio State University | Xianghong | ||||
| We, Apr 30 |
Abstracts
Thierry Laurens
Title: A priori estimates for generalized KdV equations in H^{-1}
Abstract: We will discuss local-in-time a priori estimates in H^{-1} for a family of generalized KdV equations on the line. This is the first estimate for any non-integrable perturbation of KdV that matches the regularity of the sharp well-posedness theory for KdV. In particular, our analysis applies to models for long waves in a shallow channel of water with a variable bottom. This is joint work with Mihaela Ifrim.
Sergey Denisov
Title: Dispersion effects for evolution equations and the case for Brascamp-Lieb bounds
Abstract: For the Schrödinger time-dependent evolution on the torus, Bourgain proved that the Sobolev norms can grow only very slowly in time if the potential is smooth. Our motivation is to study the energy transfer phenomenon in the Euclidean case for rough potentials and generic values of a parameter. To control the main term in the Duhamel expansion, we apply the modified wave packet decomposition. If time allows, the role of Brascamp-Lieb bounds in that analysis will be explained.