Wednesday, January 15, 2025 - 16:15 in V4-116 + Zoom
Global-in-time regularity of the two-dimensional incompressible Navier-Stokes equations with variable viscosity coefficient
A talk in the Oberseminar Analysis series by
Xian Liao from KIT Karlsruhe
| Abstract: |
In this talk, we investigate the global-in-time regularity of the two-dimensional incompressible Navier-Stokes equations in the presence of large variations in the viscosity coefficient. Through the analysis of a hidden fourth-order elliptic operator applied to the stream function, both globally and locally, we establish the Lipschitz continuity of the velocity field, even when its normal derivative exhibits discontinuities across viscosity-interfaces. Specifically, we demonstrate that the two-phase two-dimensional Navier-Stokes equations admit a unique global-in-time solution that maintains the regularity of the free interface.
Zoom Meeting ID: 686 0112 3008
Passcode: 867330
$\href{https://uni-bielefeld.zoom-x.de/j/68601123008?pwd=3B0C4nRNJveeJ71WQ1caCai3MbXTwA.1}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): A8 |
Back
