Author： Lauro Giuliana
Publisher： Taylor & Francis Ltd
ISSN： 0309-1929
Source： Geophysical and Astrophysical Fluid Dynamics, Vol.102, Iss.4, 2008-08, pp. : 373-380
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Abstract
It is shown that the hydrodynamic form of nonlinear logarithmic Schrodinger equation (NLSE), in 3 + 1 dimensions, describes a solitonic flow of an isothermal, inviscid, compressible, capillary (Korteweg) fluid. This formulation corresponds to the so-called diffuse interface models used in hydrodynamics for two-phase fluids. The negative thermodynamic pressure furnished by the model indicates a possible application of the model to the description of a gas-saturated magma melt, rising in a volcanic conduit, in presence of cavitation processes.
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