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...

詳細記述

書誌詳細
主要な著者: Coutand, D, Shkoller, S
フォーマット: Journal article
出版事項: 2002