This thesis comprehensively studies the homogenization of partial differential equations (PDEs) and optimal control problems with oscillating coefficients in oscillating domains. After the introduction, the thesis is divided ...

The theory of fair division addresses the fundamental problem of dividing a set of resources among the participating agents in a satisfactory or meaningfully fair manner. This thesis examines the key computational challenges ...

Harmonic analysis mainly deals with the qualitative and quantitative properties of functions and transforms of those functions. It has applications in various areas of Mathematics like PDE, Differential geometry, Ergodic ...

Malignant melanoma, a cancer arising from melanocytes, is reported to have one of the fastest growing incidence rates worldwide, and is considered to be one of the most aggressive human malignancies. According to the ...

In this thesis we study questions broadly related to the Kobayashi (pseudo)distance and (pseudo)metric on domains in ℂn. Specifically, we study the following subjects: Estimates for holomorphic images of subsets in convex ...

Chapter I deals with the study of incompressible boundary layer over a yawed semi-infinite flat plate with suction or injection by modified Pohlhausen method. IN the first two parts, a comparison of three different velocity ...