Masters theses : Statistics
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Item The geometric formulation of electromagnetic fied(Alneelain University, 2008-08) Tagreed Ahmed F adeel; Tagreed Ahmed F adeelAbstract In this research we studied Maxwell's field equations. The treatment is different from the classical approach. It is both global and fi'ee of coordinates. So we used the language of differential forms and fiber bundle whose base space is a general manifold. The geometrical description is neat and short. Moreover the gravitational force is incorporated in the electromagnetic field, being written in curved space —time.Item INTEGRAL TRANSFORM METHODS SOLUTION OF BINGHAM FLUID FLOW(Alneelain University, 2008) fawzia monsour dalamabstract In this research We stu dy the Blngham fluid flow by the method of integral transforms which are considered as the most efficient methods for solving physical and engineering problems. Investigation of flow characteristics of Bingham fluid and the differences between a Newtonian and non-Newtonian fluid Was given. The basic equations that describing shear stress and velocities of non-Newtonian fluids were discussed. Finally We applied the Laplace and Fourier transforms for solving a problem of unsteady state unidirectional flow of Bingham fluid and we found that the integral transform methods is suitable for problems of this kind.Item FUNCTIQN L N SIS EA§E@ QN EXISTEifi€E%fl% %NlQUENES§ Féfi PA§ik NTiAL(Alneelain University, 2007-11) Um Kalthoum Suliman KanonaA§STfiA€T" In this study, we considered existence and uniqueness problems for partial differential equations. . We used functional analysis techniques, where a partial differential equation is regarded as an operator on an appropriate Hilbert space. This Hilbert space is in fact a Sobolev space. In particular, we have dealt with two methods, variation methods and energy integral method. We have illustrated the techniques with some examples.