Unique solvability of the free-boundary Navier-Stokes equations with surface tension

We prove the existence and uniqueness of solutions to the time-dependent incompressible Navier-Stokes equations with a free-boundary governed by surface tension. The solution is found using a topological fixed-point theorem for a nonlinear iteration scheme, requiring at each step, the solution of a...

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Bibliographic Details
Main Authors: Coutand, D, Shkoller, S
Format: Journal article
Published: 2002