My research focuses on PDEs arising in fluid mechanics and control theory, with emphasis on compressible Navier–Stokes equations, time-periodic problems, stabilization, and Besov-space methods.
A central part of my work concerns controllability properties of one-dimensional linearized compressible Navier–Stokes systems: boundary null controllability, approximate controllability, threshold phenomena, and spectral structure.
In my current postdoctoral work, I investigate time-periodic solutions for compressible Navier–Stokes equations, combining periodic forcing, regularity estimates, and functional analytic multiplier tools.
I study well-posedness and long-time behavior for transport–diffusion equations with damping in critical Besov spaces, including exponential stabilization mechanisms.
I am developing a project on convective Brinkman–Forchheimer equations, with the aim of proving well-posedness and time-periodic solvability in Besov-type spaces.