Syllabus & Subjects for Master of Philosophy [M.Phil] (Mathematics):

Sr. No.

Subjects of study

1

Hydrodynamic and Hydromagnetic Stability I

2

Hydrodynamic and Hydromagnetic Stability II

3

Initiation of Magneto convection

4

Reformulation of the Simple Benard and Thermohaline Instability Problem

5

Limitations of the Complex Wave Velocity in the Instability Problem of Heterogeneous Shear

6

Fluid Flow Instability, MHD, Plasmas and Geophysical Fluid Dynamics

7

Groups, Rings and Modules

8

The Jacobson Radical and Semisimple Rings

9

Matrix Analysis

10

Boundary Layer Theory

 11

Boundary-Layer Control in Laminar Flow:

(A) Methods of boundary-Layer Control

(B) Boundary-Layer suction

(C) Injection of a different gas (Binary boundary Layers)

 12

Non-Steady Boundary Layers:

(A) Basic Equations

(B) Boundary-Layer formation after impulsive start of motion

(C) Boundary-Layer formation in accelerated motion

(D) Periodic boundary-layer flows

 

1