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Author

Sagar Gautam

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Open access Sep 2026

Hamilton-Jacobi-Bellman equation and viscosity solutions for the optimal control problem of stochastic convective Brinkman-Forchheimer equations

This work is devoted to the infinite-dimensional second-order Hamilton-Jacobi-Bellman equation associated, via the dynamic programming approach, with an optimal control problem for the two- and three-dimensional stochastic convective Brinkman-Forchheimer equations on the torus, driven by an additive Hilbert space value...

Sagar Gautam, Manil T. Mohan · 0 citations
Preprint Sep 2026

Divergence-Free Approximation in Sobolev and Lebesgue Spaces on General Unbounded Domains with Applications to Energy Equality in Fluid Dynamics

We construct divergence-free, vector-valued approximation functions on the whole space $\mathbb{R}^d$, $d\geq 2$, as well as on general unbounded domains of uniform $\mathrm{C}^{1,1}$-type. These approximations converge simultaneously in both Sobolev and Lebesgue spaces. In the whole-space setting, we employ Bogovski\u...

Akram Khan, Sagar Gautam, Manil T. Mohan · 0 citations

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