Now showing items 1-5 of 5
Applications of symmetry analysis of partial differential and stochastic differential equations arising from mathematics of finance.
In the standard modeling of the pricing of options and derivatives as generally understood these days the underlying process is taken to be a Wiener Process or a Levy Process. The stochastic process is modeled as a stochastic ...
Applications of Lie symmetries to gravitating fluids.
This thesis is concerned with the application of Lie's group theoretic method to the Einstein field equations in order to find new exact solutions. We analyse the nonlinear partial differential equation which arises ...
Differential equations for relativistic radiating stars.
We consider radiating spherical stars in general relativity when they are conformally flat, geodesic with shear, and accelerating, expanding and shearing. We study the junction conditions relating the pressure to the ...
Group theoretic approach to heat conducting gravitating systems.
We study shear-free heat conducting spherically symmetric gravitating fluids defined in four and higher dimensional spacetimes. We analyse models that are both uncharged and charged via the pressure isotropy condition ...