Logarithmic Schrodinger-like equation as a model for magma transport

De Martino, S; Falanga, M; Godano, Cataldo; Lauro, G.

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We show that, under a suitable assumption on the pressure tensor, the mass and momentum balance equations of hydrodynamical theory, introduced in the early 1980s by many authors to describe matrix separation, yield the equations of the Madelung fluid that are equivalent to the Schr ̈ odinger-like equation with logarithmic nonlinearity. This equation has solitary-waves solutions as required by many experimental volcanic models.

Titolo:	Logarithmic Schrodinger-like equation as a model for magma transport
Autori:	De Martino S Falanga M GODANO, Cataldo Lauro G. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2003
Rivista:	EUROPHYSICS LETTERS
Abstract:	We show that, under a suitable assumption on the pressure tensor, the mass and momentum balance equations of hydrodynamical theory, introduced in the early 1980s by many authors to describe matrix separation, yield the equations of the Madelung fluid that are equivalent to the Schr ̈ odinger-like equation with logarithmic nonlinearity. This equation has solitary-waves solutions as required by many experimental volcanic models.
Handle:	http://hdl.handle.net/11591/187299
Appare nelle tipologie:	1.1 Articolo in rivista

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