Rough partial differential equations: applications in fluid dynamics
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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