MA
0000-0003-2213-140X About
Currently, I am working on multiphase modeling and analysis of tumor growth models. My Ph.D. thesis is focused on biphasic mixture models for the coupled phenomena of fluid flow and solid phase deformation inside soft bio-materials such as tumors. I have worked on the well-posedness (existence, uniqueness, and continuous dependence on data) in a weak sense and some regularity results of the governing mathematical models (partial differential equations). To develop the well-posedness, we have used several well-known techniques such as the semi-discrete Galerkin method, fixed-point theorems, Lax-Milgram lemma, and Babuska-Brezzi condition.
Employment
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Mahindra University Assistant Professor2021 - Present
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Indian Institute of Technology Kharagpur Project Assistant2020 - 2021
Education
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Indian Institute of Technology Kharagpur Master of Science (M.Sc.)2012 - 2014
Projects & Funding
Projects & funding information is unavailable.
Publications (11)
- A telegraph-type nonlinear fourth-order PDE-Based framework for suppressing multiplicative noise Save
- Time-fractional anisotropic diffusion model for multiplicative noise removal Save
- Mathematical modelling and analysis of unsteady poroelastohydrodynamics for an in-vivo type solid tumour Save
- Non-linear biphasic mixture model: Existence and uniqueness results Save
- A Fractional-Order Telegraph Diffusion Model for Multiplicative Noise Removal Save
- Hydrodynamic Poroelasticity with Thermal Effects Save
- Couette-Poiseuille flow in a fluid overlying an anisotropic porous layer Save
- Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel Save
- Existence and uniqueness results on biphasic mixture model for an in-vivo tumor Save
- Mathematical modeling and analysis of hydroelastodynamics inside a solid tumor containing deformable tissue Save