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dc.contributor.advisorLacey, Professor Andrew
dc.contributor.advisorBanas, Doctor Lubomir
dc.contributor.authorAlzahrani, Abdulah
dc.date.accessioned2015-04-16T16:12:29Z
dc.date.available2015-04-16T16:12:29Z
dc.date.issued2014-07
dc.identifier.urihttp://hdl.handle.net/10399/2776
dc.description.abstractIn this thesis we study travelling wave solutions and self-similar solutions for a green roof model and for some simpler models which are derived from that model. We focus on two limiting cases near a dry region and near a saturated region. We start by considering a convection model in the absence of diffusion and sink terms. We show that rarefaction waves and shock solutions exist for several cases. Next, we consider a convection-diffusion model where both the convective and diffusive terms are present and we show that travelling wave solutions and self-similar solutions exist for some cases. Moreover, numerical simulations are used for the travelling wave and self-similar solutions and confirm the analytic predictions. Finally, we consider the green roof model where all terms are present and we show that travelling wave solutions exist, whereas self-similar solutions are not found. We also show the travelling wave solutions exist for the two limiting cases.en_US
dc.language.isoenen_US
dc.publisherHeriot-Watt Universityen_US
dc.publisherMathematical and Computer Sciencesen_US
dc.rightsAll items in ROS are protected by the Creative Commons copyright license (http://creativecommons.org/licenses/by-nc-nd/2.5/scotland/), with some rights reserved.
dc.titleLocal travelling wave solutions and self-similar solutions for a green roof modelen_US
dc.typeThesisen_US


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