An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface
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The flow of a superfluid film adsorbed on a porous medium can be modeled by a meromorphic differential on a Riemann surface of high genus. In this paper, we define the mixed Hodge metric of meromorphic differentials on a Riemann surface and justify using this metric to approximate the kinetic energy of a superfluid film flowing on a porous surface.
Black, C. P. (2009). An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface. Journal of Nonlinear Mathematical Physics, 16(2), 151–160. https://doi.org/10.1142/s1402925109000157
Journal of Nonlinear Mathematical Physics
© C. P. Black