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math.AP2026
Global Well-Posedness and Numerical Approximation of a Coupled Darcy-Convection-Diffusion System with Exponential Nonlinearity
Sahil Kundu, Amiya Kumar Pani, Manoranjan Mishra
This paper investigates density driven flow in porous media, focusing on the roles of viscosity contrast, density contrast, and linear adsorption. In this setup, the fluid on top i…
math.AP2023
Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
This paper deals with the Vlasov-Stokes' system in three dimensions with periodic boundary conditions in the spatial variable. We prove the existence of a unique strong solution to…