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Visco-elastic liquid with relaxation : symmetries, conservation laws and solutions

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dc.contributor.advisor Dr. A. Sjöberg en_US
dc.contributor.author Kartal, Ozgül
dc.date.accessioned 2012-02-06T07:29:28Z
dc.date.available 2012-02-06T07:29:28Z
dc.date.issued 2012-02-06
dc.date.submitted 2004
dc.identifier.uri http://hdl.handle.net/10210/4361
dc.description M.Sc. en_US
dc.description.abstract In this dissertation, a symmetry analysis of a third order non-linear partial differential equation which describes the filtration of a non-Newtonian liquid in porous media is performed. A review of the derivation of the partial differential equation is given which is based on the Darcy Law. The partial differential equation contains a parameter n and a function f. We derive the Lie Point Symmetries of the partial differential equation for all cases of n and f. These symmetries are used to find the invariant solutions of the partial differential equation. We find that there is only one conservation law for the partial differential equation with f and n arbitrary and we prove that there is no potential symmetry corresponding to this conservation law for any case of n and f. en_US
dc.language.iso en en_US
dc.subject Symmetric spaces en_US
dc.subject Partial differential equations en_US
dc.subject Lie groups en_US
dc.subject Non-Newtonian fluids en_US
dc.title Visco-elastic liquid with relaxation : symmetries, conservation laws and solutions en_US
dc.type Thesis en_US

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