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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Coutand, D, Shkoller, S
التنسيق: Journal article
منشور في: 2002