TEW - Partial Differential Equations (2022)

Venue: Online Mode, NIT

Dates: 17 Feb 2022 to 13 Mar 2022



Name: Dr. Ram Prakash Sharma, Dean (SA) Prof. G.D. Veerappa Gowda
Mailing Address: Department of Mechanical Engineering, NIT Arunachal Pradesh-791113 Former Professor
TIFR Centre for Applicable Mathematics
Sharadanagar, Chikkabommasandra
Yelahanka New Town, Bangalore - 65.
Email: rpsharma at nitap.ac.in, rpsharma.research at gmail.com gowda at tifrbng.res.in

Partial differential equations (PDEs) are used to mathematically formulate many physical phenomena which involves functions of several variables, for example arising in fluid flow, propoagation of heat or sound wave, elasticity,electromagnetism, image processing,.etc. PDEs also arise in geometric problems. Three fundamental equations, Laplace, wave and heat equation with their generalization, in additions to first order linear and non-linear PDEs are considered. Importance are given to derive formula for solutions in the classical sense in addition to studying existence, uniqueness and properties of solutions like, regularity and maximum principle. The topics to be covered in the workshop are arranged in such a way that the university and college teachers get exposed to a good mix of classical theory and modern approaches.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teacher's classroom instructions. The usual length of the TEW is 5/6 days. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.