A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
arXiv:1910.13542 · doi:10.1137/18M1216808
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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Cited by in corpus (7)
- A Regularity Result for the Incompressible Magnetohydrodynamics Equations with Free Surface Boundary
- Local Well-posedness for the Motion of a Compressible Gravity Water Wave with Vorticity
- Zero Surface Tension Limit of the Free-Boundary Problem in Incompressible Magnetohydrodynamics
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- A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface
- Small scale creation for 2D free boundary Euler equations with surface tension