Dr Vivek Tewary is a mathematician working on analysis of partial differential equations. Specifically, he works on the theory of homogenisation — the study of small-scale heterogeneities in physical models; and regularity theory of elliptic and parabolic equations which is about smoothness of solutions in different function spaces. Dr Tewary’s research is informed by ideas from physics and engineering and he wishes to learn from and work with people in those disciplines.
Dr Tewary earned his PhD from the Department of Mathematics, Indian Institute of Technology Bombay in Mumbai. After his PhD, Dr Tewary was also a postdoctoral fellow at Tata Institute of Fundamental Research Centre for Applicable Mathematics in Bengaluru. He is also interested in the philosophy of mathematics/science, reading books, cycling, music, computers and art.
Broad: Partial Differential Equations
Specific: Theory of Homogenisation and Regularity Theory in Partial Differential Equations
1) Harsh Prasad and Vivek Tewary. “Local Boundedness of Variational Solutions to Nonlocal Double Phase Parabolic Equations.” Journal of Differential Equations, vol. 351, Apr. 2023, pp. 243–76. ScienceDirect, https://doi.org/10.1016/j.jde.2022.12.029.
2) Harsh Prasad and Vivek Tewary. “Existence of Variational Solutions to Nonlocal Evolution Equations via Convex Minimization.” ESAIM: Control, Optimisation and Calculus of Variations, vol. 29, 2023, p. 2. www.esaim-cocv.org, https://doi.org/10.1051/cocv/2022087.
3) Karthik Adimurthi and Vivek Tewary. “Borderline Lipschitz Regularity for Bounded Minimizers of Functionals with (p,q)-Growth.” Forum Mathematicum, vol. 34, no. 5, Sept. 2022, pp. 1365–81. www.degruyter.com, https://doi.org/10.1515/forum-2022-0108.
4) Sista Sivaji Ganesh and Vivek Tewary. “”Bloch wave approach to almost periodic homogenization and approximations of effective coefficients.”” Discrete and Continuous Dynamical Systems – B, 2022, 27(4): 1989-2024. doi: 10.3934/dcdsb.2021119
Analysis
Differential Equations
