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math.AP2026
Reformulation and Interpretation of the Regularity Criterion for 3D NSE Based on Finitely Many Observations
Abhishek Balakrishna, Animikh Biswas
We revisit and sharpen a recent observable regularity criterion for the three-dimensional Navier-Stokes equations on the periodic cube by requiring only finitely many measurements…
math.AP2025
A unified theory of existence of suitable weak solutions to the 3D incompressible Navier-Stokes equations for non-decaying initial data
A. Balakrishna, I. Kukavica, W. S. OżaÅski
We consider any cover of by balls of radius bigger or equal satisfying two conditions: (i) any ball intersects at most other balls, and (ii)…
math.AP2024
Inviscid fluid interacting with a nonlinear two-dimensional plate
Abhishek Balakrishna, Igor Kukavica, Boris Muha +1
We address a moving boundary problem that consists of a system of equations modeling an inviscid fluid interacting with a two-dimensional nonlinear Koiter plate at the boundary. We…