Partial Differential Equations and Applications (2023)

Convener(s)

Name: Dr. A. K. Nandakumaran Dr. D. Narasimhan
Mailing Address: Professor, Department of Mathematics
Indian Institute of Science
Bengaluru 		Professor, Department of Mathematics
Srinivasa Ramanujan Centre
SASTRA Deemed University
Kumbakonam 612001
Email: nands at iisc.ac.in narasimhan at src.sastra.edu

This Teachers’ Enrichment Workshop is especially intended for Mathematics teachers of Arts and Science Colleges situated in and around Thanjavur district and nearby districts. Foundational concepts of multivariable calculus, ODE existence and uniqueness together with Elliptic, Parabolic and Hyperbolic partial differential equations and applications will be discussed in the workshop to provide networks with other field of Mathematics and innovative ideas to teach the particular topic in the syllabus. The workshop will be an intensive one. Only those who are willing to work hard and actively participate are encouraged to apply.

Dates: 

Monday, November 27, 2023 - 19:00 to Saturday, December 2, 2023 - 19:00

Venue: 

Venue Address: 

Srinivasa Ramanujan Centre
SASTRA Deemed University
Kumbakonam 612001
Tamil Nadu

Venue State: 

Venue City: 

PIN: 

440016

Chrono Order: 

453

Syllabus: 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Dr. S. Aiyappan
Asst. Professor
Dept. of Mathematics
IIT Hyderabad

6

Preliminary Analysis: Multivariable calculus, Integration by parts and divergence theorem, Integration over balls and spheres, ODE existence and uniqueness theory, Fourier transform, convolution, mollifiers.

Dr. K.R. Arun
Associate Professor
School of Mathematics
IISER Thiruvananthapuram

6

First order PDE and weak notions: First order linear and quasi-linear PDE. Method of characteristics. A brief discussion on Conservation Laws and an introduction to weak solutions.

Prof. A. K. Nandakumaran
Professor
Department of Mathematics
Indian Institute of Science
Bengaluru

6

Laplace (Elliptic) equation: Fundamental solution, mean value property. Maximum principle and Perrons method of existence. A brief introduction to potential theory.

Prof. P.S. Datti
Former Faculty
TIFR-CAM
Bangalore

6

Heat equation (Parabolic): Fundamental solution, initial value problem and properties of solutions. Temperature distribution in a finite rod with prescribed physical conditions at the ends.

Wave equation (Hyperbolic): Vibrating string. Wave equation in one space dimension: D ’Alembert’s formula, non-homogeneous equation. Duhamel’s principle. Higher order equation in one space dimension.

References:
    1. A. K.Nandakumaran, P. S. Datti, Partial Differential Equations; Classical Theory with a Modern Touch, Cambridge - IISc, Series, Cambridge University press (2020).
    2. R. C. McOwen, Partial Differential Equations; Methods and Applications, 2nd Ed., Pearson Education, Delhi (2005).
    3. Y. Pinchover and J. Rubinstein, An Introduction to Partial Differential Equations, Cambridge University press (2005).

 

Name of the tutors:

 

S. No.

Name

Affiliation

1

Dr. Renjith T

Indian Institute of Science, Bangalore

Time Table: 

 Time-table (with names of speakers and tutors):

Day

Date

Lecture 1

(9.30
to
10.30)

Tea

(10.35
to
10.55)

Lecturer 2

(11.00
to
12.00)

Lecture 3

(12.00
to
1.00)

Lunch

(1.00
to
2.20)

Lecture 4

(2.30
to
3.30)

Tea

(3.35
to
3.55)

Discussion

(4.00
to
5:00)

Snacks

(5.05
to
5.35)

Mon

27.11.2023

SA

 

KRA

SA

 

KRA

 

SA/RT

 

Tue

28.11.2023

SA

 

KRA

SA

 

KRA

 

KRA/RT

 

Wed

29.11.2023

SA

 

KRA

SA

 

KRA

 

KRA/RT

 

Thu

30.11.2023

AKN

 

PSD

AKN

 

PSD

 

AKN/RT

 

Fri

01.12.2023

AKN

 

PSD

AKN

 

PSD

 

PSD/RT

 

Sat

02.12.2023

AKN

 

PSD

AKN

 

PSD

 

PSD/RT

 

 

Full forms for the abbreviations of speakers and tutors:

SA:        Dr. S. Aiyappan
KRA:     Dr. K. R. Arun
AKN:     Prof. A. K. Nandakumaran
PSD:     Dr. P. S. Datti
RT:        Dr. Renjith, T (Tutor)

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/ University University/Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 50427 Mr Panneer Selvam A Male Research Scholar UGC-SRF(Research Scholar) Bharathidasan University 2016  
2 50461 Mr Sanjayprabu S Male Sri Ramakrishna Mission Vidyalaya College of Arts and Science Ph.D. Research Scholar KG College of Arts and Science, Coimbatore 2020  
3 50481 Dr Karthikeyan Shanmugam Male KPR Institute of Engineering and Technology Assistant Professor (Sl.G) Kongu Art s and Science College erode 2008 28/02/2022
4 50500 Dr Janani Jayalakshmi Govindarajan Female Seethalakshmi Ramaswami College Assistant Professor Bharathidasan University 2015 25/06/2020
5 50596 Mr Baskar A Male Vellore Institute of Technology, Chennai PhD Guru Nanak College 2018  
6 50690 Mr. Subham De Male Indian Institute of Technology, Delhi MSc Student IIT Delhi Appeared  
7 50767 Mr. Vijayakumar M Male SRM Institute of Science and Technology Research Scholar University of Madras/ M.Sc. 2016  
8 50790 Ms Ramya Selvaraj Female Srinivasa Ramanujan Centre, SASTRA Deemed to be University Assistant Professor Bharathidasan University 2006  
9 50809 Dr. Srinivasan V Male SASTRA Deemed to be University Assistant Professor - II Bharathiar University 2009 07/10/2018
10 50857 Dr. Krishnakumar K Male SASTRA Deemed to be University. Assistant Professor Anna University 2008 11/07/2016
11 50929 Mr. Abhishek Tiwari Male NIT Jamshedpur PhD University of Allahabad 2021  
12 50962 Mr Venkateshprasath M Male SRM Institue Of Science And Technolodgy, Kattankulathur Phd M.Sc 2020  
13 51048 Dr V. Jayapriya Female Idhaya College for Women Assistant Professor & Head Institute 2007 20/12/2021
14 51083 Mrs S Rubeela Mary Female A.D.M. College for Women, Nagapattinam/ P.hD (Part Time) Assistant Professor Institude M.Sc 2006  
15 51222 Mrs Saraswathi Ramadoss Female MAM College Of Engineering And Technology Assistant professor Marudupandiyar Institution M.sc 2015  
16 51253 Dr P. Murugarajan Male velammal institute of technology assistant professor msc 2006 16/02/2023
17 51273 Dr. Ravikumar R Male Assistant Professor
St. Joseph College of Engineering and Technology
Thanjavur		 Assistant Professor AVC College 1993 09/02/2016
18 51288 Mr. Gnanasekar M Male Rathinam College of Arts and Science Assistant Professor Bharathiar University 2015  
19 51372 Ms. Vaishnavi G Female Central University of Tamil Nadu PhD Central university of Tamil Nadu 2021  
20 51375 Mr Muthuchamy N Male University of Mdras Research Scholar University of Madras/ SIVET 2014  
21 51390 Mr. Navaneetha Krishnan M Male Central University of Tamil Nadu PhD PSG College of Arts and Science 2018  
22 51453 Mr. Baskaran S.Baskaran Male Dr. N. G. P. Arts and Science College PhD M. Sc. 2019  
23 51587 Mr. Umapathi V Male Bharathiar University M.phil Bharathiar University 2021  
24 51725 Ms Darshne S M Female Periyar University PhD student Periyar University Appeared  
25 51876 Dr Balaganesan Murugesan Male Srm Institute Of Science And Technology Assistant professor   2001 01/06/2021
26 52046 Ms Madhumidha Ramachandran Female VIT University PhD SASTRA University, Kumbakonam 2020  
27 52052 Dr. Banumathy Ambigapathy Female A.V.C.College(Autonomous) Assistant professor Annamalai University 2005 28/11/2020
28 52120 Dr. Sankar Raj Vaithilingam Male Manonmaniam Sundaranar University Assistant Professor Manonmaniam Sundaranar University 2003 27/03/2009
29 52343 Mr Vinothkumar Shanmugam Male Arasu Engineering College, Employed, Asst Professor in Mathematics Assistant Professor Government Arts College Autonomous 2007  
30 52365 Ms Sangeetha S Female SRM Institute of Science and Technology PhD Bishop Heber College, Trichy. 2020  
31 52527 Dr Ashok Palaniappan Male SASTRA Deemed University Associate Professor Proceeded to Integrated Ph.D. as noted below (1999 - Dec 2005)   17/12/2005
32 52683 Dr Suriyakumar P Male Kpr Institute Of Engineering And Technology Assistant Professor Bharathiar University 2008 03/06/2016
33 52802 Dr Balamurugan P Male Vel Tech Multi Tech Dr.Rangarajan Dr. Sakunthala Engineering College, Avadi, Chennai Assistant professor Jamal mohamed college Trichy 2010 10/07/2020
34 52922 Dr Anitha Balusamy Female National College (Autonomous) Assistant Professor Bharathidasan University 2003 12/04/2017
35 52941 Ms. Harini Chandrasekaran Female National Institute of Technology, Tiruchirappalli. PhD Scholar Central University of Tamil Nadu 2021  
36 52981 Dr Abdul Razak K Male K.Ramakrishnan College of Engineering Professor Periyar EVR College 1998 12/10/2007
37 53609 Mr Saravanakumar Dhanabal Male MSS Wakf Board College Madurai Assistant Professor M Sc. 2006 20/01/2015
38 52918 Mrs Sasikala B Female Star Lion College Of Engineering And Technology Assistant Professor Khadir Mohideen college 2015  
39 52808 Thamarai selvi P Female Star Lion College Of Engineering And Technology Assistant professor Bharathidasan university-Annai vailankannni Arts and Science college 2018  
40 53638 Mr. Abdul Rahman Male IIT MADRAS MSc Student MSc Appeared  
41 50599 Mr Gaurav Gaurav Male Indian Institute of Technology (B.H.U) PhD Banaras Hindu University 2014  
42 51014 Mr. Sashadhar Dutta Male Ramakrishna Mission Vivekananda Centenary College, Rahara Msc student Ramakrishna Mission Vivekananda Centenary College    
Waiting List
1 51896 Dr. S. Kalaivani Female PCPT MGR Government Arts And Science College, Puthur (Sirkali) Guest Lecturer Bharathidasan University 2015 09/11/2019
2 50426 Mr. K Dhurai Male Government College of Engineering Srirangam, Sethurapatti, Trichy Assistant Professor Periyar E V R College, Trichy 2005  
3 50921 Mr. K. Prabhakaran Male Annai Vailankanni Arts And Science College, Thanjavur-7 Assistant Professor AVVM.Sri Pushpam College, Poondi, M.Sc Mathematics 2008  
4 51331 Ms Armatha S Female Bharathidasan University Ph. D Srimad Andavan Arts and Science College,Thiruvanai Kovil,Trichy. 2020  
5 51377 Mrs Nithya M Female PSG College of Arts and Science PhD Student Bharathiar University 2020  
6 53110 Ms. Vijaya Dharshini T Female Sri G.V.G. Visalakshi college for women M. Sc Student Sri GVG Visalakshi college for women    
7 53135 Ms. Akila Visali R Female Sri GVG Visalakshi College for Women Student      
8 53136 Ms. Charukeshini Saravanakumar Female Sri G.V.G. Visalakshi College for Women MSc Student Sri G.V.G. Visalakshi College for Women    
9 53288 Ms Vennila Nayaki R Female Sri GVG Visalakshi college for women MSc Student Sri GVG Visalakshi college for women    
10 50739 Ms Damini Singh Female Doon University PhD Doon University 2017  
11 50891 Dr. Manoj Sahni Male Pandit Deendayal Energy University Gandhinagar Associate Professor M.Sc. from Dayalbagh Educational Institute Agra 2003 07/10/2010
12 50999 Mr. Dipesh Meena Male Cemntral University Of Rajasthan INTEGRATED M.Sc. B.ED. Student Central University of Rajasthan Appeared  
13 51255 Mr Satwik Gorli Male vishnu institute of technology asst.prof aknu 2018  
14 51604 Dr. Satyendra Kumar Male Government P. G. College, Chunar, Mirzapur Assistant Professor D. D. U. Gorakhpur University, Gorakhpur 2008 16/01/2019
15 51944 Mr Bajarang Lala Pawar Male SVERI's College of Engineering, Pandharpur. Assistant Professor New Arts,Commerce & Science College Ahmednagar. 2019  
16 52257 Ms. Neelam Yadav Female NIT Warangal PhD scholar M.sc 2020 15/12/1998
17 52591 Dr Ramandeep Kaur Female Guru Nanak Dev University Assistant Professor Guru Nanak Dev University, Amritsar 2006 10/07/2017
18 52769 Dr. Deepak Kumar Maurya Male Veer Bahadur.Singh Purvanchal University Assistant Professor University of Allahabad 2016 22/02/2022
19 53413 Mrs Neelam Kanwar Female Central University Of Rajasthan Int Msc Bed Student Central University Of Rajasthan Appeared  

 

 

 

How to Reach: 

TBA

School Short Name: 

pdea

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0