AIS Linear Partial Differential Equations (2017)

Error message

  • Notice: Undefined index: field in date_entity_metadata_struct_getter() (line 665 of /home/ncmath/public_html/sites/all/modules/date/date.module).
  • Notice: Undefined index: field in date_entity_metadata_struct_getter() (line 665 of /home/ncmath/public_html/sites/all/modules/date/date.module).
Venue: Tata Institute of Fundamental Research CAM,  Bangalore, Karnataka
Date:  19th, Jun 2017 to 8th, Jul 2017

 


 

School Convener(s)

Name Prof. G.D. Veerappa Gowda Dr. Ujjwal Koley
Mailing Address TIFR Centre for Applicable Mathematics
Post Bag No 6503, GKVK Post Office
Bangalore- 560065
TIFR Centre for Applicable Mathematics
Post Bag No 6503, GKVK Post Office
Bangalore- 560065

 

Speakers and Syllabus 

 

List of Speakers and topics covered :

1. Adimurthi, TIFR-CAM, Bangalore
Second order elliptic equations: Existence of weak solutions, Lax-Milgram theorem, Energy estimates, Fredholm alternative, Interior (boundary) regularity.

2.  Agnid Banerjee, TIFR-CAM, Bangalore
Second order elliptic equations: Maximum principles, Weak and strong maximum principles, Harnack’s inequality, Eigenvalues of symmetric (non-symmetric) elliptic operators.

3.  Imran Biswas , TIFR-CAM, Bangalore
Second order parabolic equations: Existence of weak solutions, Regularity, Maximum principles.

4.  Shyam Ghoshal , TIFR-CAM, Bangalore
Heat equation: Fundamental Solution, Mean value formula, Properties of solutions, Energy methods.

5. Veerappa Gowda, TIFR-CAM, Bangalore
Wave equation: Solution by spherical means, Non-homogeneous problem, Energy methods.

6. K.T. Joseph, TIFR-CAM, Bangalore
Second order hyperbolic equations: Existence of weak solutions, Regularity, Propagation of disturbances, Equations in two variables.

7. Sandeep K, TIFR-CAM, Bangalore
First order PDE: Solutions by characteristics, Classification of 2nd order PDEs. Distribution theory, Sobolev spaces.

8.Ujjwal Koley, TIFR-CAM, Bangalore
Laplace’s equation: Fundamental solution, Mean value formulas, Properties of harmonic functions, Green’s function, Energy methods.

 



Time Table:

 

Day

Date

Lecture 1

(9.30–11.00)

Tea

(11.05–11.25)

Lecturer 2

(11.30–1.00)

Lunch

(1.05–2.25)

Tutorial

(2.30–3.30)

Tea

(3.35-3.55)

Tutorial

(4.00-5.00)

Snacks

5.30

 

 

(name of the speaker)

 

 

 

 

 

 

 

(name of the speaker)

 

 

 

 

 

 

 

(name of the speaker & tutor)

 

 

 

 

 

 

 

(Name of the speaker & Tutor)

 

 

 

 

 

 

 

Mon

June 19

SK

UK

SK

AR

Tues

June 20

SK

UK

SK

AR

Wed

June 21

SK

UK

AM

AR

Thu

June 22

SK

UK

AM

AR

Fri

June 23

GDV

UK

AM

AR

Sat

June 24

GDV

SG

AM

AR

Sunday : Off

Mon

June 26

GDV

 

 

 

 

 

 

SG

 

 

 

 

 

 

GDV

 

 

 

 

 

 

AR

 

 

 

 

 

 

Tues

June 27

GDV

SG

GDV

AR

Wed

June 28

AA

SG

AA

AR

Thu

June 29

AA

SG

AA

AR

Fri

June 30

AA

AB

AM

MV

Sat

July 01

AA

AB

AM

MV

Sunday : Off

Mon

July 03

KTJ

 

 

 

 

 

 

AB

 

 

 

 

 

 

AM

 

 

 

 

 

 

MV

 

 

 

 

 

 

Tues

July 04

KTJ

AB

AM

MV

Wed

July 05

IB

AB

KTJ

MV

Thu

July 06

IB

KTJ

KTJ

MV

Fri

July 07

IB

KTJ

AM

MV

Sat

July 08

IB

IB

AM

MV

 

  • Prof. Adi Adimurhti (AA)
  • Dr. Agnid Banerjee (AB)
  • Dr. Imran Biswas (IB)
  • Dr. Shyam Ghoshal (SG)
  • Prof. G. D. Veerappa Gowda (GDV)
  • Prof. Sandeep K (SK)
  • Prof. K. T. Joseph (KTJ)
  • Dr. Ujjwal Koley (UK)
  • Arka Mallick (AM)
  • Manmohan Vashisth (MV)
  • Arnab Roy (AR)

 


 

 

Actual Participants 

 

Sr. SID Full Name Gender Affiliation Position in College/ University University/Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Deg
Date
1 10751 Mr. Mahesh Krishna K Male NIT Karnataka Surathkal PhD Mangalore University 2014  
2 10892 Ms Divyabharathi G Female Central University PhD Central University of Tamil Nadu M.Sc 2015  
3 10919 Mr. Mukesh Kumar Rawani Male IIT Patna PhD Indian School Of Mines Dhanbad 2013  
4 10993 Ms. Amita Soni Female NIT Rourkela PhD NIT Rourkela 2015  
5 10999 Ms. Bandita Roy Female IIT Guwahati PhD IIT Guwahati 2013  
6 11037 Dr. Govindaraj Venkatesan Male Indian Institute of Space Science and Technology Post Doctoral Fellow Bharathiar University 2010 8/28/2014
7 11048 Ms. Deiva Mani Nallasmy Female Periyar University PhD Bharathiar University 2010  
8 11052 Mr Sowndarrajan P T Male National Institute Of Technology, Goa. Ph.D Bharathiar University 2013  
9 11295 Mr. Nirjan Biswas Male IIT Madras. PhD University Of Calcutta. 2014  
10 11406 Mr Samala Rathan Male VNIT Nagpur PhD student IIT Kharagpur 2013  
11 11421 Mr Ajoy Jana Male Dept of Mathematics, IIT Madras Phd Student Dept of Pure Mathematics, University of Calcutta 2013  
12 11469 Mr Muna Naik Male Indian Statistical Institute,Kolkata PhD NISER, Bhubaneswar 2013  
13 11493 Ms. Ashlesha Ashutosh Bhise Female Visvesvaraya National Institute of Technology PhD Student IIT Kanpur 2016  
14 11514 Mr. Sekhar Ghosh Male NIT  Rourkela PhD UNIVERSITY OF HYDERABAD 2014  
15 11611 Ms. Sneha Jaiswal Female MNNIT, Allahabad Research Scholar BHU,Varanasi 2014  
16 11699 Ms. Samprita Das Roy Female IIT Madras PhD IIT Madras 2014  
17 11739 Ms. Neetu Garg Female National Institute of Technology PhD Kurukshetra University, Kurukshetra 2007  
18 11763 Ms. Narayani G Female Central University of Tamilnadu PhD Pondicherry University 2016  
19 11784 Mr. Vaibhav Kumar Jena Male IISER-Kolkata MS student IISER, Kolkata Awaiting Result  
20 11804 Mr. Akashdeep Dey Male Chennai Mathematical Institute MSc Student M.Sc. in Mathematics at Chennai Mathematical Institute Awaiting Result  
21 11875 Mr. Arun Kumar Badajena Male NIT Rourkela PhD Ravenshaw University 2015  
22 11970 Ms. Divya Goel Female Indian Institute of Technology Delhi PhD Indian Institute of Technology Delhi 2016  
23 12168 Ms. Akasmika Panda Female National Institutes of Technology Ph.D student Utkal University,Bhubaneswar 2016  
24 12206 Ms. Sangita Choudhary Female Savitribai Phule Pune University Research scholar Pune University 2012  
25 12214 Mr. Ujjal Das Male The Institute of Mathematical Sciences PhD Student IIT Madras 2015  
26 12308 Ms. Manju Yadav Female IIT KANPUR M.Sc. Student IIT Kanpur 2017  
27 12337 Mr Anupam Sen Male Indian Institute of Technology Kharagpur PhD IIT Bombay 2014  
28 12342 Ms. Namratha Jayaram Shenoy Female St Philomena college Assistant professor Mangalore University 2016  
29 12390 Ms. Anuwedita Singh Female IIT(BHU), Varanasi PhD University Of Allahabad 2015  
30 12504 Ms. Madhu Gupta Female IIT GANDHINAGAR Phd IIT BOMBAY 2015  
31 12638 Ms. Soniya Dhama Female IIT, Mandi PhD IIT Delhi 2015  
32 12694 Mr Kartikay Khari Male LNM Institute of Information Technology, Jaipur PhD South Asian University 2015  
33 10824 Ms. Reshmi Biswas Female IIT GUWAHATI PhD University Of Hyderabad 2014  
34 10928 Ms. Kirandeep Kour Female IIT Bhubaneswar M.Sc. Student IIT Bhubaneswar Awaiting Result  
35 10954 Ms. Manasa M Female NITK PhD Student Mangalore University 2013  
36 10977 Ms. Diksha Tiwari Female IIT, PATNA Research Scholar (PhD) Indian Institute of Technology, Bhubaneswar 2016  
37 11160 Ms R.Eswari - Rajendran Female Bharathidasan University, Research scholar Bharathidasan University 2012  
38 11381 Ms. Lakshmipriya N Female Central University of Kerala PhD Central University of Kerala 2015  

 


How to reach

* From Bangalore Internation Airport (Distance 28km)

You can hire a City taxi or private taxi from Airport to TIFR , Yelahanka new town.
Landmark : Yelahanka new town Dairy Circle

* From Bangalore City Railway Station or Majestic Bus Stand (Distance 16km)You can hire a City Taxi or Auto Rickshaw and ask drop for Yelahanka new town. The fare for City Taxi will be approximately Rs.400. For Auto Rickshaw fare will be approximately Rs.200.

You can also use BMTC Bus service to reach TIFR. You can board into following buses which comes to Yelahanka new town bus stand.

Buses to Yelahanka new town : 402B, 402D, 284D

TIFR CAM is located walkable distance from Yelahanka new town bus stand.

You may also visit the link below http://math.tifrbng.res.in/contactus for links to the route maps.