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UID:0cae2c4e6027c03a1378e6b9c1f5e6e5
CATEGORIES:Learning Seminar on PDE and Applications
CREATED:20230419T091445
SUMMARY: Asymptotic Analysis of Gradient Systems
LOCATION:Hill  705
DESCRIPTION:<p><strong style="color: #242424; font-family: Calibri, sans-serif; font-si
 ze: 14.6667px; letter-spacing: normal; orphans: 2; text-align: start; text-
 indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spa
 cing: 0px; background-color: #ffffff;">Abstract:&nbsp;</strong>In this lect
 ure, we study asymptotic behaviors of global and bounded solutions of gradi
 ent differential systems and discuss how to derive the long-time convergenc
 e of solutions by “gradient inequalities”. The idea that gradient inequalit
 ies force convergence of solutions of gradient systems was known to Lojasie
 wicz, who derived his celebrated gradient inequality for analytic gradient 
 maps on finite-dimensional spaces. Simon proved infinite-dimensional gradie
 nt inequalities for analytic gradient maps associated with variational prob
 lems. The techniques developed by Lojasiewicz and Simon have been improved 
 and applied to many problems.&nbsp;</p><p style="margin: 0in; font-size: 11
 pt; font-family: Calibri, sans-serif;">Seminar website: &nbsp;Learning Semi
 nar on PDE and Applications</p><p style="margin: 0in; font-size: 11pt; font
 -family: Calibri, sans-serif;">(&nbsp;<a href="https://sites.math.rutgers.e
 du/~yyli/Learningseminar.html" style="border: 0px; font: inherit; margin: 0
 px; padding: 0px; vertical-align: baseline; color: blue; text-decoration: u
 nderline;" data-auth="NotApplicable" data-safelink="true" data-linkindex="0
 "></a><a href="https://sites.math.rutgers.edu/~yyli/Learningseminar.html">h
 ttps://sites.math.rutgers.edu/~yyli/Learningseminar.html</a>)</p>
CONTACT:Speaker:  Qing Han, University of Notre Dame
DTSTAMP:20260828T015309
DTSTART;TZID=America/New_York:20230420T140000
DTEND;TZID=America/New_York:20230420T152000
SEQUENCE:0
TRANSP:OPAQUE
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