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arXiv · 1307.3702

The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space

C. H. Arthur Cheng·Ying-Chieh Lin·Cheng-Fang Su
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Abstract

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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C. H. Arthur Cheng, Ying-Chieh Lin, Cheng-Fang Su. 2013-07-14. The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space. https://arxiv.org/abs/1307.3702

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