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On the Capillarity Equation in Two Dimensions

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Abstract

We study the capillarity equation from the global point of view of behavior of its solutions without explicit regard to boundary conditions. We show its solutions to be constrained in ways, that have till now not been characterized in literature known to us.

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Authors and Affiliations

  1. Department of Biochemistry and Biophysics, California Institute for Quantitative Biosciences, University of California, San Francisco, San Francisco, CA, 94158, USA

    Rajat Bhatnagar

  2. Mathematics Department, Stanford University, Stanford, CA, 94025, USA

    Robert Finn

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  1. Rajat Bhatnagar
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  2. Robert Finn
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Correspondence to Robert Finn.

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Bhatnagar, R., Finn, R. On the Capillarity Equation in Two Dimensions. J. Math. Fluid Mech. 18, 731–738 (2016). https://doi.org/10.1007/s00021-016-0257-6

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  • DOI: https://doi.org/10.1007/s00021-016-0257-6

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