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NCTS Nonlinear PDE and Analysis Seminar
 
15:30 - 16:30, September 28, 2022 (Wednesday)
Room 515, Cosmology Bldg., National Taiwan University + Cisco Webex, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco Webex)
Finite-time Blowup Solutions to the Keller-Segel System
Van Tien Nguyen (National Taiwan University)

Abstract 

I will present constructive examples of finite-time blowup solutions to the Keller-Segel system in  for both -critical ( = 2) and -supercritical regimes ( ≥ 3). The blowup in 2D occurs through the concentration of mass, and blowup dynamics are completely quantized according to a discrete spectrum of the linearized operator around the rescaled stationary solution. In the higher dimensional case the radially symmetric profile of collapsing-ring solution is linked to the traveling-wave of the 1D viscous Burgers equation.
 

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=mf1678782f26f1117ba0fdb4d651a41d7

Meeting number (access code): 2511 526 1662
Meeting password: rXyNgVtP873


 

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