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math.AP2024
Zero-extension convergence and Sobolev spaces on changing domains
Nikita Evseev, Malte Kampschulte, Alexander Menovschikov
We extend the definition of weak and strong convergence to sequences of Sobolev-functions whose underlying domains themselves are converging. In contrast to previous works, we do s…
math.AP2024
Regularity estimates of a fluid-free surface evolution
Malte Kampschulte, Joonas Niinikoski, Sebastian Schwarzacher
In this work the evolution of a fluid droplet in vacuum is considered. This means that the surface tension and the fluid forces are in equilibrium at the free boundary. The fluid i…