The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space
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existencespaceequationsnavier-stokesoptimalsobolevsolutionsurface
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We establish the existence of a solution to the Navier-Stokes equations on a moving domain with surface tension in an optimal Sobolev space for the case of two space dimension. No compatibility conditions are required to guarantee the existence of a solution.
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