Uploaded September 2024 | Updated September 2026, 2 weeks ago
Three-dimensional Fluid Motion and Long Compositions of Three-dimensional Volume Preserving Mappings
Dennis Parnell Sullivan
Abel Prize 2022
The calculus equations for the evolving volume preserving fluid motion in three-dimensional space are known practically to work very well for predicting the future behavior. This is also true theoretically, except the length of the time interval for theoretical predictions is limited by the initial conditions.
Perhaps the evolution of some very smooth initial conditions blows up in finite time. This mystery is longstanding.
The lecture will explore this mystery by studying long compositions of theoretical fluid motions for tiny intervals of time.
The 11th Heidelberg Laureate Forum took place from September 22–27, 2024. #HLF24
The Heidelberg Laureate Forum (HLF) is an annual networking conference where 200 carefully selected young researchers in mathematics and computer science spend a week interacting with the laureates of the most prestigious awards in their disciplines: the Abel Prize, ACM A.M. Turing Award, ACM Prize in Computing, Fields Medal, IMU Abacus Medal and Nevanlinna Prize.
The opinions expressed in the videos do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of these videos.
More information on the Heidelberg Laureate Forum: heidelberg-laureate-forum.org/forum/11th-hlf-2024
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Three-dimensional Fluid Motion and Long Compositions of Three-dimensional Volume Preserving Mappings
Dennis Parnell Sullivan
Abel Prize 2022
The calculus equations for the evolving volume preserving fluid motion in three-dimensional space are known practically to work very well for predicting the future behavior. This is also true theoretically, except the length of the time interval for theoretical predictions is limited by the initial conditions.
Perhaps the evolution of some very smooth initial conditions blows up in finite time. This mystery is longstanding.
The lecture will explore this mystery by studying long compositions of theoretical fluid motions for tiny intervals of time.
The 11th Heidelberg Laureate Forum took place from September 22–27, 2024. #HLF24
The Heidelberg Laureate Forum (HLF) is an annual networking conference where 200 carefully selected young researchers in mathematics and computer science spend a week interacting with the laureates of the most prestigious awards in their disciplines: the Abel Prize, ACM A.M. Turing Award, ACM Prize in Computing, Fields Medal, IMU Abacus Medal and Nevanlinna Prize.
The opinions expressed in the videos do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of these videos.
More information on the Heidelberg Laureate Forum: heidelberg-laureate-forum.org/forum/11th-hlf-2024
Follow us on social media!
Blog: scilogs.spektrum.de/hlf
LinkedIn: linkedin.com/company/heidelberg-laureate-forum-foundation
X/Twitter: twitter.com/HLForum
Instagram: instagram.com/hlforum
Facebook: facebook.com/HeidelbergLaureateForum
