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Thirumalai Muthukumar
PhD (Institute of Mathematical Sciences)
Professor, Department of Mathematics & Statistics
Research Interest
Homogenization and Variational Methods for PDE's, Elliptic PDE's, Optimal controls
FB 326,
Department of Mathematics & Statistics,
Indian Institute of Technology, Kanpur
UP, India-208016
Research Area
Differential Equations : Homogenization and Variational Methods for Partial Differential Equations
Education
PhD, Institute of Mathematical Sciences (2006)
M.Sc., Pondicherry University, (2000)
B.Sc., DRBCCC Hindu College, Madras, (1998)
Selected Publications
Homogenization of the Stokes System in a Domain with an Oscillating Boundary, Multiscale Modeling and Simulation (A SIAM Interdisciplinary Journal) , Vol.20, No.4, pp. 1361--1393, December 2022.
Axisymmetric indentation of a Periodically Layered, Viscoelastic Half-Space, Zeitschrift für angewandte Mathematik und Physik,Vol.73, No.222, pp. 1--35, October 2022. (Published online on 03 October 2022)
Indentation of a Periodically Layered, Elastic Half-Space by a Rigid Sphere , Mathematics and Mechanics of Solids (Published online on 10 Feb 2022)
Indentation of a Periodically Layered, Planar, Elastic Half-Space, Journal of Elasticity,Vol. 141, No.1, pp. 1--30, September 2020. (Published online on 07 May 2020)
Homogenization of Some Cheap Control Problems, SIAM Journal on Mathematical Analysis, Vol. 43 (22 Sep. 2011), No.5, pp 2211-2229