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...
Main Authors: | Coutand, D, Shkoller, S |
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Format: | Journal article |
Published: |
2002
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