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math.AP2026
Divergence-Free Approximation in Sobolev and Lebesgue Spaces on General Unbounded Domains with Applications to Energy Equality in Fluid Dynamics
Akram Khan, Sagar Gautam, Manil T. Mohan
We construct divergence-free, vector-valued approximation functions on the whole space , , as well as on general unbounded domains of uniform $\mathrm{C}^{1,…
math.AP2026
A domain hemivariational inequality for 2D and 3D convective Brinkman-Forchheimer extended Darcy equations
Jyoti Jindal, Sagar Gautam, Manil T. Mohan
This paper investigates domain hemivariational inequality problems arising from the non-stationary two- and three-dimensional convective Brinkman-Forchheimer extended Darcy (CBFeD)…