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arXiv · 1910.13542

A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension

Marcelo M. Disconzi·Igor Kukavica·Amjad Tuffaha
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Abstract

We consider the three-dimensional incompressible free-boundary Euler equations in a bounded domain and with surface tension. Using Lagrangian coordinates, we establish a priori estimates for solutions with minimal regularity assumptions on the initial data.

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Marcelo M. Disconzi, Igor Kukavica, Amjad Tuffaha. 2019-10-29. A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension. https://doi.org/10.1137/18m1216808

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