Designation: Assistant Professor
Department of Mathematics
C. M. R. I. T.
Contact address
Phone number: 9035290660
Email id: sushma.ts@cmrit.ac.in
Qualification
Ph.D.
M.Sc. Mathematics
Research areas of interest
Center Manifold Theory, Dynamical systems, Rayleigh Benard Convection
Title of the Ph.D. work: Study of Thermal Convection in Newtonian Liquids using a Differential Geometry Method.
Areas of teaching interest
Differential equations, Differential Geometry, Numerical Analysis, Real Analysis, Complex Analysis, Algebra, Topology, Continuum Mechanics, Fluid Mechanics, Measure and Integration, Functional Analysis.
Publications
1) P. G. Siddheshwar, and T. S. Sushma, "Reduction of Trimodal Lorenz model in a Ferrofluid Convection to a cubic-quintic Ginzburg-Landau equation using Center Manifold Theorem", Differential Equations and Dynamical Systems (accepted)
2) Manjunath S and Sushma T. S., "Reduction of Tri-modal Lorenz Model of Ferrofluid Convection to a Cubic Ginzburg-Landau Equation", VTU Journal of Engineering Sciences and Management, 1(3), 71-76, 2019
3) P. G. Siddheshwar, S. Manjunath and T. S. Sushma, "Solution of Lorenz Model with help from the Corresponding Ginzburg-Landau Model", Springer Trends in Mathematics, 47-55, 2019
Membership
1) Ramanujan Mathematical Society
2) Indian Mathematical Society
Paper Presentations at Conferences
1) In an International Conference, ICAM, presented a paper entiltled “Reduction of a Dynamical System of Fifth-Order to a Cubic-Quintic Ginzburg-Landau Equation using the Center Manifold Theorem” held at Bangalore University, Bengaluru, Karnataka during 28th-29th February, 2020
2) In an International Conference, Indian Society of Theoretical and Applied Mechanics, ISTAM, presented a paper entitled “Study of Rayleigh- Bénard -Brinkman Convection in Enclosures using Center Manifold Theory” held at IIT Bhubaneswar, Bhubaneswar, Orissa during 9th-12th December, 2019
3) Presented a paper in an International Conference, International Congress on Industrial and Applied Mathematics (ICIAM) entitled “Numerical Study of Nonlinear Stability on Rayleigh-Bénard Convection in Rotating Ferromagnetic Liquids” held at Campus de Blasco Ibanez, Valencia, Spain on 15th-19th July 2019
4) In an International Conference, International Conference on Mathematical modelling in Science and Engineering, ICMMSE, presented a paper entitled “Reduction of Tri-modal Lorenz Model of Ferrofluid convection to a Cubic-Quintic Ginzburg-Landau Equation using Center Manifold Theorem” held at Bharathiar University, Coimbatore, Tamil Nadu on 1st and 2nd February, 2019
5) In an International Conference, Indian Society of Theoretical and Applied Mechanics, ISTAM, presented a paper entitled “Reduction of Five-mode Lorenz model to a Coupled cubic-quintic Ginzburg-Landau equation using Center Manifold Theory” held at Dayanand Sagar University, Bengaluru, Karnataka during 20th-23rd December, 2018
6) In an International Conference, Indian Society of Theoretical and Applied Mechanics, ISTAM, presented a paper entitled “Reduction of Fifth Order Lorenz Model into a Coupled Ginzburg-Landau Model on a Center Manifold” held at Osmania University, Hyderabad, Andhra Pradesh during 15th-18th December, 2017
7) In an International Conference, Indian Mathematical Society, IMS, presented a paper entitled “Center Manifold Theory for Reduction of Three-mode Lorenz Model to a Quintic Ginzburg-Landau Equation for Rayleigh-Bénard Convection in Enclosures” held at Sri Venkateshwara University, SVU, Tirupathi, Andhra Pradesh during 12th-15th December, 2017
8) In an International Conference, International Conference on Advances in Mathematical Sciences, ICAMS, presented a paper entitled “Solution of Lorenz Model with help from the corresponding Ginzburg-Landau Model” held at Vellore Institute of Technology, VIT, Vellore, Tamil Nadu during 1st-3rd December, 2017
9) In an International Conference on “Fluid Dynamics and its Applications” presented a paper entitled “Differential Geometry Method in the Study of Rayleigh-Benard Brinkman Convection in Enclosures” held at B. N. M. Institute of Technology, Bengaluru, Karnataka during 12th -14th July, 2017
10) In an International Conference, Indian Society of Theoretical and Applied Mechanics, ISTAM, presented a paper entitled “Differential Geometry Method in the Study of Rayleigh-Benard Convection in Enclosures” held at Vellore Institute of Technology, VIT, Vellore, Tamil Nadu during 11th -14th December, 2016
11) In an International Conference, Indian Society of Theoretical and Applied Mechanics, ISTAM, presented a paper entitled “Study of dynamics in a convection problem on a center manifold” held at Malaviya National Institute of Technology, MNIT, Jaipur, Rajasthan during 16th -19th December, 2015
Conferences Attended
1) An International Conference on Mathematical Modelling [ICMM-2016] held at Don Bosco Institute of Technology, DBIT, Bengaluru, Karnataka during 23rd -24th December, 2016.
2) A Conference on Mathematica held at M. S. Ramaiah Institute of Technology, Bengaluru, during October, 2016.
Workshop Conducted: Applications of Computer Algebraic Systems: Scilab for engineering mathematics held on 8th June 2016 at PES University, Bangalore.