Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Computer-assisted Proofs for Periodic Traveling Waves in Higher Dimensional Partial Differential Equations
Lindsey van der Aalst (Vrije Universiteit Amsterdam)
Abstract
The one-dimensional suspension bridge equation has been well studied: traveling waves of various types have been proven to exist. Far less is known about the two-dimensional case. We use computer-assisted proof methods to find and prove periodic traveling waves in two spatial dimensions, ensuring rigorous control over computational errors.
Additionally, we extend computer-assisted proof techniques from existing literature on two-dimensional periodic solutions in the forced Navier-Stokes equations to three dimensions to prove traveling wave solutions. Challenges posed by the higher-dimensional nature of the problem are alleviated by employing symmetry arguments.
Meeting number (access code): 2514 421 5466
Meeting password: 7dYWwpbMJ32
Organizers: Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NTHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Alejandro López-Nieto (NTU), Chang-Hong Wu (NYCU)
