Prerona Dutta

Prerona Dutta works in the mathematical analysis of partial differential equations (PDEs), a branch of mathematics that studies how quantities change over space and time, such as wave motion or fluid flow. Their research focuses on nonlinear equations like Hamilton-Jacobi equations and conservation laws, including questions about how quickly numerical or approximate solutions converge to true solutions, and how to measure the complexity ('metric entropy') of spaces of functions that arise in these problems. They also study well-posedness (whether solutions exist, are unique, and behave predictably) for systems like the Fornberg-Whitham equations, which model wave propagation.

Publication activity has been steady to slightly increasing over the last decade, with a small but consistent output of 1-3 papers per year since 2020.

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