Assistant Professor of Mathematics & Head, Department of Applied Sciences
Research Area: Mathematical Biology, Finite Element Methods & Partial Differential Equations
Email: shangerganesh@nitgoa.ac.in
Name: Dr. L. Shangerganesh
Gender: Male
Birth Date:
Designation: Assistant Professor & Head(APS & HS)
Department: Department of Applied Sciences
URL: N/A
Date of Joining:
Research/Teaching Experience:
Address: Department of Applied Sciences, NIT Goa, Kottamoll Plateau, Cuncolim Municipal Area, Salcete Taluka, South Goa District, Goa - 403703
Email Address: shangerganesh@nitgoa.ac.in
Phone [Residence]-
Phone [Mobile]:
Office Extension:
Mathematical Biology, Finite Element Methods & Partial Differential Equations
1. Mr. K. Yadhavan - Partial Differential Equations - Joined on August, 2022.
2. Mr. Halet Ismail - Fractional Differential Equations - Joined on September, 2021.
3. Mr. S. Hariharan - Partial Differential Equations - Joined on September, 2021.
4. Dr. J. Manimaran - Studies on Solutions of Certain Nonlinear Time-Fractional Partial Differential Equations - Degree Awarded on September, 2021.
5. Dr. P.T. Sowndarrajan - Studies on the Optimal Control of System of Parabolic Partial Differential Equations - Degree Awarded on August, 2021.
Publication Type: Journal
1. S Hariharan, L Shangerganesh, A Debbouche and V Antonov, Stability analysis of spatiotemporal reaction–diffusion mathematical model incorporating the varicella virus transmission, The European Physical Journal Plus 138(12), (2023) 1123.
2. P.T. Sowndarrajan, L. Shangerganesh, N. Nyamoradi and S. Hariharan, Optimal control for a nonlinear tuberculosis model, Iranian Journal of Science, (2023), 1-12.
3. A. Arivazhagan, N Barani Balan, L. Shangerganesh and K. Dravid, Blow-up phenomena for a sixth-order partial differential equation with a general non-linearity, Journal of Dynamical and Control Systems, (2023), 1-15.
4. V.N. Deiva Mani, S. Karthikeyan, L. Shangerganesh and S Marshal Anthoni, Solvability of the acid-mediated tumor growth model with nonlinear acid production term, Journal of Elliptic and Parabolic Equations, (2023), 1-14.
5. M.N. Krishnan, N Barani Balan, L. Shangerganesh, J Manimaran, An optimal control problem for acid-mediated cancer invasion model, Journal of Applied Nonlinear Dynamics 12(2023), 339-351.
6. J. Manimaran, V. Bhuvaneswari, L. Shangerganesh, Weak solution for time-fractional strongly coupled three species cooperating model, Partial Differential Equations in Applied Mathematics, (2023), 100504.
7. P.T Sowndarrajan, L. Shangerganesh, A. Debbouche, D.F.M. Torres, Optimal control of a heroin epidemic mathematical model, Optimization, 71(2022), 3107-3131.
8. N. Lakshmipriya, S. Gnanavel, L. Shangerganesh and N. Nyamoradi, Existence and nonexistence of solutions of thin–film equations with variable exponent spaces, Differential Equations & Applications 14(2022), 579-595.
9. J. Manimaran, L. Shangerganesh, A. Debbouche and J.-C. Cortés, A time-fractional HIV infection model with nonlinear diffusion, Results in Physics 25 (2021) 104293.
10. G. Sathishkumar , L. Shangerganesh and S. Karthikeyan, Lower bounds of finite-time blow-up of solutions to a two-species Keller-Segel chemotaxis model, Journal of Applied Nonlinear Dynamics 10(1) (2021) 81-93.
11. L. Shangerganesh, G. Sathishkumar, N. Nyamoradi and S. Karthikeyan,Blow-up phenomena of a cancer invasion model with nonlinear diffusion and haptotaxis term, Bulletin of the Malaysian Mathematical Sciences Society, 44 (2021) 1215-231.
12. J. Manimaran and L. Shangerganesh, Error estimates for the Galerkin finite element approximations of time-fractional nonlocal diffusion equation, International Journal of Computer Mathematics, 98(7) (2021) 1365-1384.
13. J. Manimaran, L. Shangerganesh and A. Debbouche, Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy, Journal of Computational and Applied Mathematics, 382(2021) 113066.
14. J. Manimaran and L. Shangerganesh Existence and uniqueness of time-fractional nonlocal diffusion systems modelling an epidemic disease, Indian Society of Industrial and Applied Mathematics 11(2) (2020) 193-207.
15. K Navaneetha Krishnan, S Hemalatha, N Barani Balan and L. Shangerganesh, Analyzing lotka-volterra reaction-diffusion model using optimization technique, Indian Society of Industrial and Applied Mathematics 11(2) (2020), 174-192.
16. P.T. Sowndarrajan and L. Shangerganesh, An optimal control problem of nonlocal Pyragas feedback controllers for convective FitzHugh-Nagumo equations with time-delay, SIAM Journal on Control and Optimization, 58(2020), 3613-3631.
17. J Manimaran and L Shangerganesh, Mathematical and numerical analysis of acid mediated cancer invasion model with nonlinear diffusion, Electronic Transactions on Numerical Analysis, 52(2020) 576-598.
18. L. Shangerganesh, V.N. Deiva Mani and S. Karthikeyan, Existence of solutions of cancer invasion parabolic system with integrable data, Afrika Matematika, 31(2020) 1359-1378.
19. J. Manimaran, L. Shangerganesh and A. Debbouche, A time-fractional competition ecological model with cross-diffusion, Mathematical Methods in the Applied Sciences, 43(2020), 5197-5211.
20. P.T. Sowndarrajan, N. Nyamoradi, L Shangerganesh and J Manimaran, Mathematical analysis of an optimal control problem for the predator-prey model with disease in prey, Optimal Control Applications and Methods, 41(2020) 1495-1509.
21. J Manimaran and L Shangerganesh, Solvability and numerical simulations for tumor invasion model with nonlinear diffusion, Computational and Mathematical Methods, 2(2020) e1068.
22. P.T. Sowndarrajan, J Manimaran, A Debbouche and L Shangerganesh, Distributed optimal control of a tumor growth treatment model with cross-diffusion effect, The European Physical Journal Plus, 134 (2019) 463.
23. L. Shangerganesh, N. Nyamoradi, G. Sathishkumar and S. Karthikeyan, Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects, Computers & Mathematics with Applications, 77(2019) 2242-2254.
24. J Manimaran and L Shangerganesh, Blow-up solutions of a time-fractional diffusion equation with variable exponents, Tbilisi Mathematical Journal, 12(2019) 149-157.
25. J Manimaran, L Shangerganesh, A Debbouche and V Antonov, Numerical solutions for time-fractional cancer invasion system with nonlocal diffusion, Frontiers in Physics, 7(2019) 93.
26. L. Shangerganesh, G. Sathishkumar and S. Karthikeyan, Lower bounds for the finite-time blow-up of solutions of a cancer invasion model, Electronic Journal of Qualitative Theory of Differential Equations, 12(2019) 1-13.
27. L. Shangerganesh and P.T. Sowndarrajan, Optimal control problem for cancer invasion reaction-diffusion system, Numerical Functional Analysis and Optimization, 39(2018) 1574-1593.
28. Y. Zhou, J. Manimaran, L. Shangerganesh and A. Debbouche, Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models, International Journal of Nonlinear Sciences and Numerical Simulation, 19(2018) 753-761.
29. P.T. Sowndarrajan and L. Shangerganesh, Optimal control problem for cancer invasion mathematical model with nonlinear diffusion, Optimization, 67(2018) 1819-1836.
30. Y. Zhou, L. Shangerganesh, J. Manimaran and A. Debbouche, A class of time fractional reaction-diffusion equation with nonlocal boundary condition, Mathematical Methods in the Applied Sciences, 41(2018) 2987-2999.
31. L. Shangerganesh, N. Nyamoradi, V.N. Deiva Mani and S. Karthikeyan, On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents, Computers and Mathematics with Applications, 75(2018) 322–334.
32. L. Shangerganesh, V.N. Deiva Mani and S. Karthikeyan, Renormalized and entropy solutions of tumor growth model with nonlinear acid production, Mathematical Modelling and Analysis, 22(2017) 695-716.
33. L. Shangerganesh, V.N. Deiva Mani and S. Karthikeyan, Existence of global weak solutions for cancer invasion parabolic system with nonlinear diffusion, Communications in Applied Analysis, 21(2017) 607-629.
34. S. Ganesan and L. Shangerganesh, Galerkin finite element method for cancer invasion mathematical model, Computers and Mathematics with Applications, 73(2017) 2603-2617.
35. L. Shangerganesh, A. Gurusamy and K. Balachandran, Weak solutions for nonlinear parabolic equations with variable exponents, Communications in Mathematics, 25(2017) 55-70.
36. S. Ganesan and L. Shangerganesh, A biophysical tumor invasion model, Communications in Nonlinear Science and Numerical Simulation, 46(2017) 135-152.
37. A. Gurusamy, L. Shangerganesh and K. Balachandran, Blow-up of solutions of Nonlinear parabolic system with variable exponents, Nonlinear Functional Analysis and Applications, 21(2016) 449-461.
38. V. Bhuvaneswari, L. Shangerganesh and K. Balachandran, Global existence and blow up of solutions of quasilinear chemotaxis system, Mathematical Methods in the Applied Sciences, 38(2015) 3738-3746.
39. L. Shangerganesh, N. Baranibalan and K. Balachandran, Weak-renormalized solutions for three species competition model in ecology, International Journal of Biomathematis 7(2014) 1450062.
40. L. Shangerganesh, N. Baranibalan and K. Balachandran, Existence and uniqueness of solutions of degenerate chemotaxis system, Taiwanse Journal of Mathematics 18(2014) 1605-1622.
41. L. Shangerganesh and K. Balachandran, Solvability of reaction-diffusion model with variable exponents, Mathematical Methods in the Applied Sciences 37(2014) 1436-1448.
42. V. Bhuvaneswari, L. Shangerganesh, K. Balachandran and J. K. Kim, Weak solutions of nonlinear p-q Laplacian equation, Nonlinear Functional Analysis and Applications 18(2013) 51-66.
43. L. Shangerganesh and K. Balachandran, Renormalized and entropy solutions of nonlinear parabolic systems, Electronic Journal of Differential Equations 268(2013) 1-24.
44. L. Shangerganesh, N. Baranibalan and K. Balachandran, Weak-renormalized solutions for predator-prey system, Applicable Analysis 92(2013) 441-459.
45. V. Bhuvaneswari, L. Shangerganesh and K. Balachandran, Weak solutions for p-Laplacian equation, Advances in Nonlinear Analysis 1(2012) 319-334.
46. L. Shangerganesh and K. Balachandran, Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions, Acta Applicandae Mathematicae 116(2011) 71-86.
Computational and Theoretical Studies on Parabolic Partial Differential Equations in Cancer Modelling, DST-SERB, 2016-2018.
1. NBHM Travel Grant - ICIAM -2015, Beijing, P.R China. (Awarded on Jun. 2015)
2. NBHM Travel Grant - ICM -2014, Seoul, South Korea. (Awarded on Apr. 2014)
3. Dr. K. S. Kothari Post Doctoral Fellowship, UGC. (Awarded on Dec. 2013)
4. NBHM - DAE - Post Doctoral Fellow. (Awarded on Dec. 2013)
5. Reviewer, Mathematical Reviews, USA. (From Sep. 2013)
6. UGC-BSR-RFSMS - Junior Research Fellow. (From Mar. 2012 to Mar. 2013)
7. DST-PURSE - Project Fellow. (From Dec. 2011 to Feb. 2012)
8. Reviewer, zbMath Open, Europe (From August. 2021)