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Permeability models for magma flow through the earth's mantle: A lie group analysis
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نویسنده
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mindu n. ,mason d.p.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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The migration of melt through the mantle of the earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt. the partial differential equation depends on the permeability of the medium which is assumed to be a function of the voidage. it is shown that the partial differential equation admits,as well as translations in time and space,other lie point symmetries provided the permeability is either a power law or an exponential law of the voidage or is a constant. a rarefactive solitary wave solution of the partial differential equation is derived in the form of a quadrature for the exponential law for the permeability. © 2013 n. mindu and d. p. mason.
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آدرس
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centre for differential equations,continuum mechanics and applications,school of computational and applied mathematics,university of the witwatersrand,johannesburg,private bag 3, South Africa, centre for differential equations,continuum mechanics and applications,school of computational and applied mathematics,university of the witwatersrand,johannesburg,private bag 3, South Africa
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Authors
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