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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,…
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)…
Well-posedness of a boundary hemivariational inequality for stationary and non-stationary 2D and 3D convective Brinkman-Forchheimer equations
Jyoti Jindal, Sagar Gautam, Manil T. Mohan
This paper investigates boundary hemivariational inequality problems associated with both stationary and non-stationary two and three-dimensional convective Brinkman-Forchheimer eq…
On the convective Brinkman-Forchheimer equations
Sagar Gautam, Manil T. Mohan
The convective Brinkman--Forchheimer equations or the Navier--Stokes equations with damping in bounded or periodic domains , are considered in…