Partial Differential Equations (2022)

Convener(s)

 
Name: Prof. Rajib Haloi Prof. G.D. Veerappa Gowda
Mailing Address: Department of Applied Sciences,
Tezpur University, Napaam,
Assam,784028		 Raja Ramanna Fellow
TIFR Centre for Applicable Mathematics,
Sharada Nagar,Chikkabommasandra,
Bengaluru, 560065
Email: rhaloi at tezu.ernet.in, rajib.haloi at gmail.com gowda at math.tifrbng.res.in

Partial differential equations (PDE) are used to mathematically formulate many physical phenomena which involves functions of several variables, for example arising in fluid flow, propagation of heat or sound wave, elasticity, electromagnetism, image processing etc. Three fundamental equations like Laplace, wave and heat equation in addition to first order linear and non-linear PDE are considered. Also, Sobolev spaces, imbedding theorems, compactness theorems and variational problems with their applications to study PDE are included. The topics to be covered in this school are arranged in such a way that the university and college teachers get exposed to a good mix of classical theory as well as to modern approaches.

Dates: 

Monday, November 21, 2022 - 16:45 to Saturday, December 3, 2022 - 18:30

Venue: 

Venue Address: 

Tezpur University, P.O. Napaam, Pin 784028, Dist: Sonitpur, Assam

Venue State: 

Venue City: 

PIN: 

784028

Chrono Order: 

405

Syllabus: 

Speakers
Prof. G.D. Veerappa Gowda,
Raja Ramanna Fellow TIFR Centre for applicable Mathematics,
Sharada Nagar, Chikkabommasandra, Bengaluru, 560065

Prof. P. S. Datti,
TIFR Centre for applicable Mathematics,
Sharada Nagar, Chikkabommasandra, Bengaluru, 560065
Prof. A Adimurthi,
TIFR Centre for Applicable Mathematics,
Sharada Nagar, Chikkabommasandra, Bengaluru, 560065		 Prof. A. K. Nandakumaran,
Indian Institute of Science Bangaluru
Course associates/ Tutors
Prof. Rajib Haloi
Department of Applied Sciences,
Tezpur University, Napaam, Assam 784028		 Dr. Jayanta Borah
Department of Mathematical Sciences,
Tezpur University, Napaam, Assam 784028

 Detailed syllabus and the topics to be covered by each speaker

SlNo Name of thespeaker Topic of lectures Number of lectures with tutorials
1. Prof. G.D. Veerappa Gowda First order linear and non-linear PDE:Method of characteristics. Hamilton Jacobi equations: Legendre transform and Hopf-Lax formula. Conservation laws:weak solutions, shocks and entropy conditions, Riemann problems and Lax-Oleinik formula. 6(L) 6(T)
2. Prof. P. S. Datti Laplace equation: Fundamental solution, mean value formulas,Green’s functions. Heat equation: Fundamental solution, initial value problems and properties of solutions. Wave equation: D ’Alembert’s formula, Solution by spherical means in higher dimensions. Non-homogeneous problem. 6(L) 6(T)
3. Prof. A.K. Nandakumaran Sobolev spaces: Definition and basic properties of weak derivatives. Test functions and distributions, Sobolev spaces, Approximation by smooth functions, Imbedding theorems, Compactness theorems, Trace theorems and Sobolev inequalities. 6(L) 6(T)
4. Prof. A Adimurthi Elliptic equations: Variational Problems, Lax-Milgram theorem, Regularity theorem, Maximum principles, Eigenvalue problems. 6(L) 6(T)
5. Dr. Jayanta Borah Course/Tutorial associates. 24(T)
6. Prof. Rajib Haloi Course/Tutorial associates. 24(T)

 

 

 

Time Table: 

 Tentative time-table:

    Schedule for the first week    
Date/Day 9:30 to 11:00 Tea Break    11:30 to 1: 00 Lunch Break    3:00 to 4:00 Tea Break   4:30 to 5:30
21.11.2022 AKN PSD T1
AKN, JB,RH		 T2
PSD, RH,JB
22.11.2022 PSD AKN T3
PSD, RH,JB		 T4
AKN, JB,RH
23.11.2022 AKN PSD T5
AKN, JB,RH		 T6
PSD, RH,JB
24.11.2022 PSD AKN T7
PSD, RH,JB		 T8
AKN, JB,RH
25.11.2022 AKN PSD T9
AKN, JB,RH		 T 10
PSD, RH,JB
26.11.2022 PSD AKN T11
PSD, RH,JB		 T12
AKN, JB,RH
     Schedule for the second week    
28.11.2022 AM Tea Break   GDV   Lunch Break   T1
AM, RH,JB		 Tea Break   T2
GDV, JB,RH
29.11.2022 GDV AM T3
GDV, JB,RH		 T4
AM, RH,JB
30.11.2022 AM GDV T5
AM, RH,JB		 T6
GDV, JB,RH
01.12.2022 GDV AM T7
GDV, JB,RH		 T8
AM, RH,JB
02.12.2022 AM GDV T9
AM, RH,JB		 T10
GDV, JB, RH
03.12.2022 GDV AM T11
GDV, JB, RH		 T12
AM,RH, JB

Legends:

  • AM: Prof. A Adimurthi
  • GDV: Prof. G. D. Veerppa Gowda
  • RH: Prof. Rajib Haloi
  • AKN: Prof. A. K. Nandakumaran
  • PSD: Prof. P. S. Datti
  • JB: Jayanta Borah

 

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/ University Univ/ Ins M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg Date
Outstation Participants
1 42013 Dr. Deepak Sarma Male Assam Agricultural University Assistant Professor Gauhati University 2014 14/10/2019
2 42050 Dr. Ajay Sharma Male Sadiya College Assistant Professor Tezpur University 2015 22/01/2021
3 42057 Mr Muniyasamy S Male THIYAGI DHARMAKKAN AMIRTHAM COLLEGE OF ARTS AND SCIENCE Assistant Professor ALAGAPPA UNIVERSITY/  SYED HAMEEDHA ARTS AND SCIENCE COLLEGE, KILAKARAI 2017  
4 42135 Dr Akul Rana Male Narajole Raj College Assistant Professor Vidyasagar 2001 10/11/2012
5 42186 Dr. Mohammad Asim Male Department of Mathematics, SGT University Asst. Prof. Aligarh Muslim University 2014 31/12/2020
6 42273 Dr. Sushil Kumar Male S. V. National Institute of Technology Surat Associate Professor IIT Roorkee 2001 17/10/2007
7 42287 Mr. Kuparala Venkata Vidyasagar Male SVLNS GOVERNMENT DEGREE COLLEGE BHEEMUNIPATNAM Lecturer in Mathematics Andhra University 2001 25/06/2022
8 42289 Mr. Gaurav Shantaram Jadhav Male SS and LS Patkar Varde College Assistant Professor University of mumbai 2011  
9 42302 Dr. Mallinath Yashwant Dhange Male BLDEAs VP Dr PG Halakatti College of Engineering and Technology, Vijayapur Assistant Professor Shivaji University Kolhapur 2002 18/03/2019
10 42313 Prof. Amit Ujlayan Male Gautam Buddha University Gr. Noida Assistant Professor M.Sc 2001 10/03/2010
11 42314 Dr. Priyanka Singh Female Government Degree College, Piprai Assistant Professor M.Sc. 2015 05/03/2021
12 42320 Dr. Amit Tomar Male Amity University Assistant Professor Chaudhary Charan Singh University Meerut Campus Uttar Pradesh 2007 18/03/2013
13 42356 Dr. Pravin Bachu Bhai Vadhel Male V.V.P. Engineering College, Rajkot Assistant Professor SAURASHTRA UNIVERSITY, RAJKOT ,GUJARAT 2011 23/12/2019
14 42372 Mr. Champak Kr. Neog Male North Eastern Regional Institute of Science and Technology PhD Tezpur University 2016  
15 42404 Ms Arokiamary. S Female Sacred Heart Degree College for Women Assistant Professor Bangalore University 2004  
16 42465 Dr. Chandru Muthusamy Male Vellore Institute of Technology Vellore Assistant Professor National Institute of Technology Tiruchirappalli 2010 31/07/2017
17 42498 Ms. Bhagyashri Patgiri Female Cotton University PhD NIT Meghalaya 2019  
18 42499 Mr. Guddu Kumar Male T. P. College, Madhepura Asst. Prof. M.Sc. 2014  
19 42531 Ms. Pranami Phukan Female Biswanath College Guest Lecturer North Eastern Regional Institute of Science and Technology 2017 23/12/2021
20 42646 Dr Jishan Kamruddin Shaikh Male Silver Oak College of Engineering and Technology, Silver Oak University Asst. prof. Gujarat University 2011 04/12/2021
21 42791 Dr. Neeraj Neeraj Male LNMIIT,Jaipur Assistant Professor IISER mohali 2014 21/03/2018
22 42930 Dr. Rupam Haloi Male Sipajhar College Assistant Professor Tezpur University, Tezpur 2014 02/11/2021
23 43220 Dr. Ashis Mondal Male Jangipur College Assistant Professor University of Kalyani 2013 11/05/2018
24 43221 Mr. Tarak Mandal Male Jangipur College Assistant Professor University of Kalyani 2008  
25 43237 Dr. V B Kiran Kumar Male Cochin University of Science And Technology Assistant Professor Cochin University of Science And Technology 2008 21/03/2013
26 43318 Prof. Vijay Jayantibhai Solanki Male Government Engineering College Bharuch Asst Prof The M. S. Uni. of Baroda 2009  
27 43353 Dr. Surashmi Bhattacharyya Female Biswanath College of Agriculture, Assam Agricultural University Assistant Professor Tezpur University 2011 01/11/2018
28 43377 Prof. Noufal Asharaf Male Cochin University of Science and Technology Assistant Professor University of Keralaersity 2005 24/11/2014
29 43417 Dr. Pabitra Debnath Male Department of Mathematics, St. Xavier's College, Klokata, Assistant Professor IIT KANPUR 2004  
30 43419 Dr Jogen Dutta Male North Gauhati College Assistant Professor IIT Kanpur 2012 28/01/2021
  Local Participants      
1 42045 Dr Binanda Khungur Narzary Male TEZPUR UNIVERSITY ASSISTANT PROFESSOR IIT GUWAHATI 2010 22/02/2022
2 42500 Dr. Somnath Paul Male Tezpur University Assistant Professor Gauhati University/ M.Sc. 2008 03/04/2013
3 42561 Mr. Lham Tashi Male North Eastern Regional Institute of Science and Technology(NERIST) PhD Rajiv Gandhi University 2017  
4 42992 Mr. Hirak Jyoti Sarma Male Institute of Advanced Study in Science and Technology PhD Tezpur university 2020  
5 43248 Mr Injamamul Haque Ahmed Male Institute of Advanced Study in Science and Technology, Guwahati Junior Research Fellow Jamia Millia Islamia University 2020  
6 43347 Ms. Pooja Biswas Female Tezpur University PhD Tezpur University 2021  
7 43362 Ms. Sweta Chakraborty Female TEZPUR UNIVERSITY Ph.D Cooch Behar Panchanan Barma University 2020  
8 43394 Ms. Darshana Devi Female Tezpur University PhD Tezpur University 2020  
9 43397 Mr. Duranta Chutia Male Tezpur University Others Tezpur University 2017 26/02/2022
10 43408 Mr. Jyotirmay Barman Male Tezpur University PhD Tezpur University 2022  
  Wait- listed Participants      
1 42149 Ms. Dona Alex Female NIT Trichy PhD Pondicherry University 2019  
2 42501 Mr. Debendra Kumar Swain Male IIT GOA PhD Pondicherry University 2017  
3 42026 Ms. Sharda Kumari Female Visva-Bharati University PhD Sido Kanhu Murmu University Dumka, Jharkhand 2019  
4 42388 Ms. Shruti . Female Indian Institute of Technology, Banaras Hindu University (IIT BHU) PhD Motilal Nehru National Institute of Technology, Allahabad, Prayagraj 2020  
5 43181 Ms. Sudha Y Female National Institute of Technology Research Scholar Bharathiar University 2010  
6 43208 Mr. Yadhavan K Male National Institute of Technology Goa Research Scholar Bharathidasan University 2019  
7 42966 Mr. Jitendra Nath Naik Male IIT Goa PhD Utkal University 2018  
8 42830 Mr Hariharan S Male National Institute of Technology Goa Ph.D. Bharathiar University 2019  
9 42230 Mr Tamizhazhagan S Male National Institute of Technology PhD Pondicherry University 2018  
10 43116 Mr. Shashikant Kumar Male Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh PhD Visvesvaraya National Institute of Technology Nagpur, Maharashtra 2017  
11 43111 Mr. Rakib Mondal Male BITS Pilani PhD University Of Calcutta 2020  

 

 

 

 

 

 

How to Reach: 

TBA

School Short Name: 

pde

Last Date Application: 

Wednesday, July 13, 2022

School Type: 

IST

Separate faculty form: 

0