• A. Balakrishna, I. Kukavica, and W. S. Ożanski.
A unified theory of existence of suitable weak solutions to the 3D incompressible Navier–Stokes equations for non-decaying initial data.
arXiv preprint arXiv:2510.17107 (2025).
• A. Balakrishna, P. Jayanti, and E. Carlson.
Data assimilation and local-in-time global control of inviscid systems using partially resolved measurements.
Physica D: Nonlinear Phenomena, in press (2025).
• A. Balakrishna and A. Biswas.
Determining functionals, data assimilation, and a novel regularity criterion for the three-dimensional Navier–Stokes equations.
Research in the Mathematical Sciences, 12 (3), 46 (2025).
• A. Balakrishna, I. Kukavica, B. Muha, and A. Tuffaha.
Inviscid fluid interacting with a nonlinear two-dimensional plate.
Interfaces and Free Boundaries (2024).
• A. Balakrishna, I. Lasiecka, and J. T. Webster.
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space.
Mathematical Models and Methods in Applied Sciences, 33 (3), 505–545 (2023).
• A. Balakrishna and A. Biswas.
Determining map, data assimilation, and an observable regularity criterion for the three-dimensional Boussinesq system.
Applied Mathematics & Optimization, 86 (3), 1–53 (2022).
• A. Balakrishna and J. T. Webster.
Large deflections of a structurally damped panel in a subsonic flow.
Nonlinear Dynamics, 103 (4), 3165–3186 (2021).