IST - Mathematical Modeling in Continuum Mechanics and Ecology (2019)

Venue: Mizoram University,  Aizawl, Mizoram
Date:  3rd, Jun 2019 to 15th, Jun 2019

 

School Convener(s)
Name Sanasam Sarat Singh Jamal Hussain S. K. Tomar
Mailing Address Department of Mathematics and Computer Science
Mizoram University,
Aizawl – 796 004, Mizoram		 Department of Mathematics and Computer Science
Mizoram University,
Aizawl – 796 004, Mizoram		 Department of Mathematics
Panjab University, Chandigarh

 

 

Name of resource persons with their affiliations:

 

sr.n Name Affiliation
1 Prof.  Sujit Kumar Bose Retired Professor from
S N Bose National Centre for Basis Sciences, Kolkata)
2 Prof. Samares Pal HOD,
Department of Mathematics, University of Kalayani, Kalayani
3 Prof. S K Tomar Department of Mathematics, Panjab University, Chandigarh
4 Prof. Jamal Hussan HOD,
Department of Mathematics and Computer Science, MZU
5 Dr. Jay Prakash Singh Department of Mathematics and Computer Science, MZU
6 Dr. S. Sarat Singh Department of Mathematics and Computer Science, MZU

 

 

 

 Syllabus:

 

Speakers

Lectures

Detailed Syllabus

Speaker 1

SK

6

Analysis of Stress, Strain and their properties, Hooke’s law and is generalization, Symmetry of stress tensor, equation of equilibrium and small motion, Compatibility conditions, Helmholtz decomposition of vector, Waves in uniform elastic medium, Rayleigh and Love waves, Reflection of body waves.

Speaker 2

RK

6

Fluids, Instability of flows, Different models for analyzing the instability mode, Different flow models, Superposed fluid flows, Couette flows. Numerical methods for obtaining the onset of instabilities, Numerical shooting methods combined with unit disturbance method.

Speaker 3

SB

6

Cartesian Tensors: Vector Transformation Rule, Matrix eigenvalues and eigenvectors, Modal Matrix, Polar Decomposition, Dyadics and Cartesian Tensors, Products, Vector and Tensor Calculus. Material and Spatial coordinates. Displacement velocity and acceleration, Rigid Bogy motion, Deformation Gradient Tensors, Invariants, Infinitesimal Strains, Rate of Deformation Tensor and Vorticity.

Speaker 4

SP

6

Mathematical models in ecology: Discrete and Continuous population models for single species. Logistic models and their stability analysis. Stability of population steady states. Continuous models for two interacting populations: Lotka-Volterra model of predator -prey system, Gauss’s Model. Analysis of predator-prey model with in limit cycle behavior.

 Abbreviations used:

SK - SK Tomar (Panjab University), SP- Samaras Pal (Kalayani University), RK – Ruda Kanta Deka (Gauhati University), SB – Sujit Bose (Kolkata)

 

 Time Table

 

 

 

Lecture 1

Tea

Lecture 2

Lunch

Tutorial

Tea &

 

 

 

 

 

 

 

 

Snacks & Discussion

 

Day

Date

9.30-11.00

 

11.30 -1.00

 

2.00 - 5.00

 

Week 1

1

3/6/19

SB

 

SB

 

SB+JP+SS

 

 

2

4/6/19

SB

 

SB

 

SB+JP+SS

 

 

3

5/6/19

SB

 

SP

 

SB+JP+SS

 

 

4

6/6/19

SB

 

SP

 

SB+JH+SS

 

 

5

7/6/19

SB

 

SP

 

SP+JH+SS

 

 

6

8/6/19

SB

 

SP

 

SB+SS+JP

 

 

 

 

 

 

SUNDAY

 

 

 

Week 2

1

10/6/19

SB

 

SB

 

SK+SB+SS

 

 

 

 

 

 

 

 

 

 

 

2

11/6/19

SK

 

SK

 

SK+JP+SS

 

 

3

12/6/19

SK

 

SK

 

SK+JH+SS

 

 

4

13/6/19

SK

 

SK

 

SK+JH+SS

 

 

5

14/6/19

SK

 

RK

 

SK+JP+SS

 

 

 

 

 

 

 

 

 

 

 

6

15/6/19

SK

 

RK

 

SK+JP+JH

 

 

 

List of actual Participants

Sr.n SID Full Name Gender Affiliation Position in College/ University Year of Passing M.Sc./ M.A Ph.D. Deg Date
1 24513 Dr. Joydeb Bhattacharyya Male Karimpur Pannadevi College Asst. Prof. 1999 13/01/2014
2 24537 Mr. Davinder Kumar Male Panjab University PhD 2016  
3 24565 Ms. Gurwinderpal Kaur Female Panjab University Chandigarh PhD 2014  
4 24574 Mr. Ashish Kumar Male Panjab University Ph.D. 2015  
5 24773 Dr Pushpander Kadian Male Government Post Graduate Nehru college, Jhajjar Asst. Prof. 2004 29/08/2011
6 25414 Ms. Savkirat Kaur Female Dev Samaj College for Women Asst. Prof. 2015  
7 25431 Dr C Zorammuana Male Assam University, Silchar Asst. Prof. 2010 24/02/2016
8 26131 Dr. Jai Bhagwan Male D.B.G. Government College, Sector-18, Panipat Asst.Prof 2005 24/06/2016
9 26199 Dr. Aloke Pal Male Deroziomemorial College Asst. Prof. 1988 22/11/2010
10 27616 Mr. Tapas Ranjan Panigrahi Male Birla Institute Of Technology And Science Pilani, Hyderabad Campus PhD 2012  
11 28219 R Balamurugan Rajendran Male National Institute of Technology, Arunachal Pradesh PhD 2013  
12 28253 Mr. Siddharth Singh Male IIT BHU PhD 2015  
13 27707 Mr. Natarajan T Male NITK Surathkal PhD Student 2015  
14 27872 Prof. Vijay Jayantibhai Solanki Male Government Engineering College,Bharuch Asst. Prof. 2009  
15 28132 Mr. Joyal Roy P Male St. Joseph's College Asst. Prof. 2010  
Local Participants
16 27708 Mr Mohan Khatri Male Mizoram University Phd 2018  
17 28191 Mr Anudip Gogoi Male Mizoram university PhD Scholar 2015  
18 28225 Mr. Binoy Kumar Barman Male Mizoram University Ph.D. 2015  
19   Prof. RC Tiwari   Mizoram University, Aizawl      
20   Prof. S. Rai   Mizoram University, Aizawl      
21   Dr. R Lalawmpuii   Govt. Zirtiri Residential Science college, Aizawl      
22   Mr. Sajal Kanti Das   Mizoram University, Aizawl      
23   Mr. Lalawmpuia Tochhawng   Mizoram University, Aizawl      
24   Mr. A Lalchhuangliana   Mizoram University, Aizawl      
25   Mr. J. Lalvohbika   Mizoram University, Aizawl      
26   Mr. C. Lalmalsawma   Mizoram University, Aizawl      
27   Ms. Laldinsangi   Mizoram University, Aizawl      
28   Mr. David Rosangliana   Mizoram University, Aizawl      
29   Dr. R. Lianngenga   Pachhunga University College, Aizawl      
30   Ms. K Lalnunsiami   Mizoram University, Aizawl      
31   Dr. M. Saroja Devi   Mizoram University, Aizawl      
32   L. Thangmawia   Pachhunga University College, Aizawl      
33   Lalhriattira Fanai   Government Lunglei College, Lunglei      

 

How to reach

 

Mizoram is connected with the rest of the country by Air, Rail and Road Transport.

  • By Air
    • Aizawl, Lengpui Airport which is 1 hr drive from Aizawl is well connected by Air to Kolkata, Guwahati, Imphal and Delhi.
    • Air India-Daily Flight to Kolkata and Guwahati from Aizawl are available everyday, Aizawl to Imphal is available on alternate days.
    • Jet Airways- Daily Flights to Kolkata and Guwahati are available everyday.
  • By Train
    • Nearest Railhead is Silchar in Assam which is about 6 hrs drive from Aizawl. Sumo, Bus and Maxi Cabs are available for Zarkawt, Aizawl from Silchar and Guwahati.
  • By Road
    • NH-54 connects Aizawl with the rest of the country through Silchar. Sumo, Buses and taxis are available from Silchar and Guwahati to Aizawl (6-8 hrs). Night services are also available.

 

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