PHD theses : Statistics
Permanent URI for this collectionhttps://repository.neelain.edu.sd/handle/123456789/12106
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Item APPLICATION OF - " THE VIRIAL METHOD TO THE SOLUTION OF SOME PROBLEMS < ' IN FLUID DYNAMICS(Alneelain University, 2006) Mohamed Saad E1-Din Abdel Gafoor Abdel MagidThe problem of the charged spheroidal bubble is studied using the virial method. The conditions that are necessary for equilibrium are deduced and the oscillation of the bubble is studied . The frequencies belonging to the second order harmonics are found . Further extension of the virial theorem is made by studying the viscous fluid sphere in an incompressible viscous fluid giving the different and necessary virial equations of motion for both the exterior and the interior media and then the equilibrium state is studied.Item Mathematics '(Alneelain University, 2014) Mohammed Hassen ElzubairAbstract In this research we utilized twister theory to describe the geometry of space-time. The twistors are derived from Spinors which are also used to write zero rest- mass fields equations. We mainly used the properties of twistor filnction to generate zero rest- mass fields, where this function is formulated from both the geometry and topology of Minkowski spaceItem Some Harvesting Problems(Alneelain University, 2015-07) Ranya Hamid El NourABSTRACT. The aim of this thesis is to study and solve optimal control problems for systems driven by both: Brownian motion and Levy processes. The methods of solution used are: Dynamic programming, and Maximum principle where the known Clark-Ocone theorem is applied. The application of Clark-Ocone theorem needs the existence of Malliavin derivative and its extesion in L2 spaces. As an application , the thesis considered an example of harvesting problem in a crowded media as well as searching for optimal portfolio strategies in hedging options in markets driven by both: Brovmian motion and Levy processes.Item solation of some stochatic paril differentionl equations(Alneelain University, 2006) Sana Hussein F adl AllahItem THE GEOMETRICAL QANTIZATION OF PHYSICAL FIELDS(Alneelain University, 2007-10) Khalid Masoud Makin Mohamed AliABSTRACT We considered the problem of geometric quantization. We first started with the classical symplectic geometry and then'we used the complex line bundle to describe prequantization and quantization. Geometrically the Hilbert space of quantum states is constructed from the sections of the complex line bundle over the phase space. We then used the invariance group approach to the geometric quantization.