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Event

Rough partial differential equations: applications in fluid dynamics

Friday, December 8, 2023 10:00to11:30
McConnell Engineering Building Zames Seminar Room, MC 437, 3480 rue University, Montreal, QC, H3A 0E9, CA

Informal Systems Seminar (ISS) Centre for Intelligent Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisions (GERAD)

Speaker: James-Michael Leahy

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Abstract: Building on Torstein Nilssen's foundational talk, we discuss rough flows and rough partial differential equations from the perspective of unbounded rough drivers. After establishing this groundwork, we focus on applications in building geometrically inspired rough fluid dynamic models. Specifically, we introduce a rough variational principle inspired by V. Arnold's variational formulation of perfect ideal fluids and then present the well-posedness of the rough Euler system.

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