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UID:b854d153-f4d5-4e9e-ac9d-5ac619b217c8@nexttoyou
DTSTAMP:20261106T174418Z
DTSTART:20261106T183000Z
DTEND:20261106T193000Z
SUMMARY:Colloquium by Professor Changhui Tan\, University of South Carolin
 a
LOCATION:MSB 318: Mathematical Sciences Building\, Room 318
DESCRIPTION:Our Colloquium series offers a diverse platform for research s
 cholars\, faculty\, students\, and industry experts to share and exchange
  ideas\, fostering discussion and networking across mathematics\, statist
 ics\, and data science.\n\nProfessor Changhui Tan from University of Sout
 h Carolina will speak at this week's colloquium on "The Primitive Equatio
 ns in Atmospheric Dynamics and Related Nonlocal Fluid Models."\n\nAbstrac
 t:\n\nThe primitive equations—also known as the hydrostatic Navier-Stokes
  equations—serve as a foundational mathematical model for large-scale atm
 ospheric and oceanic dynamics. Strikingly\, their analytical behavior sit
 s between two extreme regimes: while the inviscid equations are notorious
 ly ill-posed (exhibiting instabilities worse than the 3D Euler equations)
 \, full horizontal viscosity renders them globally well-posed\, displayin
 g regularizing properties even stronger than the standard Navier-Stokes s
 ystem.\n\nIn this talk\, we explore the transition between these regimes 
 by considering primitive equations with fractional horizontal dissipation
 . We will discuss how varying the strength of fractional operators dictat
 es sharp boundary lines between ill-posedness\, local well-posedness\, an
 d global well-posedness. To provide a broader perspective\, we will also 
 survey other related nonlocal fluid models\, highlighting common analytic
 al frameworks and mechanisms where fractional and nonlocal operators gove
 rn fluid motion.\n\nSpeaker Bio: Changhui Tan is an Associate Professor i
 n \n\nhttp://next-to-u.app/events/b854d153-f4d5-4e9e-ac9d-5ac619b217c8
URL:http://next-to-u.app/events/b854d153-f4d5-4e9e-ac9d-5ac619b217c8
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