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Abstract:
Nonlocal and nonlinear effects appear in many applications in natural processes as incompressible flows (Euler or Navier-Stokes equations), free boundary problems (water waves or Muskat/Hele-Shaw problem) or aggregation equations (Keller-Segel system and other chemotaxis problems), etc. This session is devoted to the mathematical analysis of nonlinear and nonlocal partial differential equations with a particular emphasis in equations arising in fluid dynamics and mathematical biology. This session will bring together experts in this research area to exchage ideas and to have in-depth discussion that will benefit each other.
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