DEPARTMENT OF MATHEMATICS

 

sdubey

Dr. Shruti Dubey

Assistant Professor

Department of Mathematics

IIT Madras

Chennai - 600 036

Email : sdubey@iitm.ac.in

Phone: 0091 - 44 - 22574600

 

Area of Research:

1.     Nonlinear Analysis of Functional Differential Equations

2.     Mathematical Study of Ferromagnetic Systems

 

Publications:

Published:

1.     Sharad Dwivedi and Shruti Dubey, On Dynamics of Current-Induced Static Wall Profiles in Ferromagnetic Nanowires Governed by the Rashba Field, International Journal of Applied and Computational Mathematics, Vol. 3,No.1 (2017) pp 27-42.

2.     Madhukant Sharma and Shruti Dubey, Analysis of Fractional Functional Differential Equations of Neuitral type with Nonlocal conditions, Differential Equations and Dynamical Systems (2016) DOI: 10.1007/s12591-016-0290-1

3.    Madhukant Sharma and Shruti Dubey, Controllability of Sobolev type Nonlinear Nonlocal Fractional Functional Integro-differential Equations, Progress in Fractional Differentiation and Applications, Vol.1 No 4(2015) pp. 281-293.

4.     Shruti Dubey, Madhukant Sharma, Solutions to Fractional Functional Differential Equations with Nonlocal Conditions, Fract. Calc. Appl. Anal.,Vol. 17, No 3(2014), pp. 654-673; DOI: 10.2478/s13540-014-0191-3. Impact Factor : 2.974

5.     Madhukant Sharma and Shruti Dubey, Asymptotic Behavior of Solutions to Nonlinear Nonlocal Fractional Functional Differential Equations, J. Nonl. Evol. Equ. Appl., Vol. 2015, No.2(2015), pp 21-30.

6.     Madhukant Sharma and Shruti Dubey, Controllability of Nonlinear Fractional Functional Differential Equations with Nonlocal Conditions, Int. J. of Dynamical Systems and Differential Equations, Vol. 5 No 4(2015), pp 302-321.

7.     Shruti Agarwal, Gilles Carbou, Stephane Labbe and Christophe Prieur, Control of a network of magnetic ellipsoidal samples, Mathematical Control and Related Field, AIMS, 1(2011), no. 2, pp.129-147.

8.   Shruti A. Dubey, The method of lines applied to nonlinear nonlocal functional differential equations, Journal of Mathematical Analysis and Application, 376(2011), issue 1, pp.275-281.

9.     Shruti A. Dubey, Numerical solution for nonlocal sobolev-type differential equations, Electronic Journal of Differential Equations, Conf. 19 (2010), pp.75-83.

10.     Shruti A. Dubey and D.Bahuguna, Eistence and regularity of solutions to nonlocal retarded differential equations, Applied Mathematics and Computation, 215(2009), pp. 2413-2424.

11.     D. Bahuguna and S. Agarwal, Approximations of solutions to neutral functional differential equations with nonlocal history conditions, Journal of Mathematical Analysis and Application 317(2006), no. 2, 583-602.

12.     S. Agarwal and D.Bahuguna, Existence of solutions to sobolev type partial neutral differential equations, Journal of Appled Mathematics and Stochastic Analysis (2006), 10pp, DOI10.1155/JAMSA/2006/16308.

13.     S. Agarwal and D.Bahuguna, Exact and approximate solutions of delay differential equations with nonlocal history conditions, Journal of Applied Mathematics and Stochastic Analysis 2005(2005), no.2, 181-194.

14.    S. Agarwal and D.Bahuguna, Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations, Electronic Journal of Differential Equations (2004), no. 52, 9pp.

15.     S. Agarwal and D.Bahuguna, Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions, International Journal of Mathematics and Mathematical Sciences 2004 (2004), no. 37, 1943-1956.

                              

Book Chapter:

1.     S. Agarwal and D.Bahuguna, Semidiscretization pf nonlinear retarded differential equations, Differential Equations and Dynamical Systems. Editor: Dr. D. Bahuguna. ISBN: 81-7319-588-9. Narosa Publishing House, India, 2004, pp. 107-117.

 

Conference papers published in proceedings:

1.     Sharad Dwivedi and Shruti Dubey, Field Driven Motion of Ferrofluids in Ferromagnetic Nanowire under the influence of Inertial Effects Procedia Engineering, Volume 127, Pages 1-1378 (2015) INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) – 2015.

2.     Sharad Dwivedi and Shruti Dubey, On Stability of Steady-States for a Two-Dimensional Network Model of Ferromagnetic Nanowires, Analysis, Modelling, Optimization and Numerical Techniques Series: Springer Proceedings in Mathematics & Statistics, International Conference on Recent Trends in Mathematical Analysis and Its Applications (ICRTMAA), Dec. 21-23, 2014.

3.    Shruti Dubey, Control and Stability of One Dimensional Ferromagnetic System, International Conference on Advances in Modeling, Optimization and Computing (AMOC – 2011), IIT Roorkee, Dec. 5-7 2011.

4.     Shruti Agarwal, D. Bahuguna, A study of a class of nonlocal delay differential equations, National Conference on Mathematical Modeling and Analysis, Birla Institute of Technology and Sciences, Pilani, October 8-9, 2004.

 

Invited Talks:

1.   Controllability of fractional order differential equations with nonlocal initial condition, International conference on Recent advances in theoretical & computational partial differential equations and applications, Panjab University, Chandigarh, December 5-9, 2016.

2.     Control of 2D ferromagnetic system governed by Landau-Lifschitz equation, International Conference on PDEs: Theory and Computation, South Asian university, New Delhi, December 28-30, 2015.

3.  A study of controlability of ferromagnetic material, National Conference on Evolution Equations: Theory, Methods & Applications (NCEETMA – 2012), IIT Kanpur, December 7 – 8, 2012.

Guidance:

Ph.d :

1.     Madhukant Sharma

2.     Sharad Dirvedi