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math.AP2026
Projectional continuous data assimilation on the torus: Resonant and kernel-free regimes
Tsogtgerel Gantumur
We study continuous data assimilation for the two-dimensional incompressible Navier-Stokes equations on the periodic torus using a single signed scalar velocity projection in a pre…
math.AP2025
A direct proof of the equivalence between Dirichlet's principle and Perron's method
Tsogtgerel Gantumur
We give a short proof that for a bounded domain and continuous boundary data admitting a continuous finite-energy extension $Ï\in H^{1…