Broadly, my field of research is partial differential equations. My research interests concern with the transport processes inside a porous medium, analysis of linear and nonlinear parabolic partial differential equations (PDEs) and homogenization theory. Several problems in the fields of physics, chemistry, biology and engineering sciences are governed by ordinary and partial differential equations, for example flow inside a porous medium. Transport processes in a porous medium (concrete carbonation, groundwater flow, leaching of saline soil, waste water treatment, e.g.) have been extensively studied by mathematician, hydrologist, geologist and others, and they intrigue my curiosity too. Below are my research areas
:  1. Applied Analysis
a. Partial Differential Equations
b. Homogenization Theory (Periodic & Stochastic)
c. Variational Methods
d. Transport Processes in Heterogeneous Medium
e. Plasticity
2. Mathematical Biology
a. PK/PD Modeling
b. Mathematical Modelling of Renal Physiology
c. Diabetic Nephropathy
d. Cardiovascular Modeling
e. MicroPore Tissue Modeling

Global existence and uniqueness of a system of nonlinear multispecies diffusionreaction equations in the presence of homogeneous Neumann boundary conditions in an H^{1,p} setting Mahato H. S., Boehm M. By Journal of Applied Analysis and Computation 3 357376 (2013)

Global existence and uniqueness of a system of nonlinear multispecies diffusionreaction equations in the presence of homogeneous Neumann boundary conditions in an H^{1,p} setting Mahato H. S., Boehm M. By Journal of Applied Analysis and Computation 3 357376 (2013)

Homogenization of a system of multispecies diffusionreactiondissolutionprecipitation equations in the presence of inflowoutflow boundary conditions Mahato H. S., Boehm M. , Knabner P. , Kraeutle S. By Advances in Mathematical Sciences and Applications 26 3981 (2017)

Homogenization of a system of multispecies diffusionreactiondissolutionprecipitation equations in the presence of inflowoutflow boundary conditions Mahato H. S., Boehm M. , Knabner P. , Kraeutle S. By Advances in Mathematical Sciences and Applications 26 3981 (2017)

Homogenization of a system of semilinear diffusionreaction equations in an H^{1,p} setting Mahato H. S., Boehm M. By Electronic Journal of Differential Equations 122 (2013)

Homogenization of a system of semilinear diffusionreaction equations in an H^{1,p} setting Mahato H. S., Boehm M. By Electronic Journal of Differential Equations 122 (2013)

An existence result for a system of coupled semilinear diffusionreaction equations with flux boundary conditions Mahato H. S., Boehm M. By European Journal of Applied Mathematics 122 (2014)

An existence result for a system of coupled semilinear diffusionreaction equations with flux boundary conditions Mahato H. S., Boehm M. By European Journal of Applied Mathematics 122 (2014)

Existence and averaging of a system of nonlinear parabolic equations with mixed NeumannRobin interface conditions Mahato H. S. By Advances and Applications in Fluid Mechanics 19 473488 (2016)

Existence and averaging of a system of nonlinear parabolic equations with mixed NeumannRobin interface conditions Mahato H. S. By Advances and Applications in Fluid Mechanics 19 473488 (2016)
Principal Investigator
 A System of MultiSpecies DiffusionReaction Equations in a Heterogeneous Medium: Analysis, Homogenization and Optimal Control Approach
 Phase Field Models and Mixture of Fluids in a Multiphase Porous Medium: Modelling, Analysis and Homogenization Techniques
Ph. D. Students
Arghya Kundu
Area of Research: Partial Differential Equations, Applied Analysis, Homogenization Theory
Haradhan Dutta
Area of Research: Partial Differential Equations, Applied Analysis, Homogenization Theory
Nibedita Ghosh
Area of Research: Partial Differential Equations, Applied Analysis, Homogenization Theory
Nitu
Area of Research: Partial Differential Equations, Applied Analysis, Homogenization Theory