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UID:0-1759@hmc.edu
DTSTART;TZID=America/Los_Angeles:20260219T161500
DTEND;TZID=America/Los_Angeles:20260219T173000
DTSTAMP:20260212T010045Z
URL:https://www.hmc.edu/calendar/events/mathematical-connections-seminar-v
 incent-martinez/
SUMMARY:Mathematical Connections Seminar: Vincent Martinez
DESCRIPTION:"Finite-dimensionality in Fluids and Applications"\nFluids can 
 be described by partial differential equations (PDEs). As such\, their sol
 utions are typically given by functions of several variables. In the moder
 n theory of PDEs\, solutions are viewed as belonging to vector spaces whos
 e elements are functions\; these spaces are typically infinite-dimensional
 . For instance\, if one insists on solutions having “finite energy\,” 
 then it is often natural to assume that solutions should be elements of th
 e vector space of square-integrable functions. This talk will present the 
 fundamental equations of incompressible fluids in a simplified setting tha
 t allows one to see its infinite-dimensional nature\, but nevertheless dem
 onstrate that their long-time behavior is\, in some sense\, finite-dimensi
 onal. We will then discuss the importance of this property in the context 
 of turbulence and weather prediction.
CATEGORIES:Faculty,Staff,Students
LOCATION:Shanahan Center\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711\,
  United States
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 nter:geo:0,0
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DTSTART:20251102T010000
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