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SUMMARY:Global-in-time regularity of the two-dimensional incompressible Na
 vier-Stokes equations with variable viscosity coefficient
DTSTART:20250130T131500Z
DTEND:20250130T150000Z
DTSTAMP:20260415T103600Z
UID:indico-event-213@math-events.uni-bonn.de
CONTACT:kappes@iam.uni-bonn.de
DESCRIPTION:Speakers: Xian Liao (KIT\, Karlsruhe)\n\nIn this talk\, we inv
 estigate the global-in-time regularity of the two-dimensional incompressib
 le Navier-Stokes equations in the presence of large variations in the visc
 osity coefficient. Through the analysis of two good unknowns\, which are a
 ssociated to the viscous stress tensor globally resp. locally\, we establi
 sh the Lipschitz continuity of the velocity field\, even when its normal d
 erivative exhibits discontinuities across viscosity-interfaces. Specifical
 ly\, we demonstrate that the two-phase two-dimensional Navier-Stokes equat
 ions admit a unique global-in-time solution that maintains the regularity 
 of the free interface. This is joint work with Rebekka Zimmermann (KIT).\n
 \nhttps://math-events.uni-bonn.de/event/213/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/213/
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