Professor Animikh Biswas

Professor · Tenured

He/Him/His/Himself

About

B.S. Indian Statistical Institute, 1991.
M.S. Indian Statistical Institute, 1993.
PhD, Indiana University, 2000.

Fluid Dynamics and Nonlinear PDE
Data Assimilation and applications (geophysics, epidemiology, neuroscience)
Functional Analysis and Applications

Ph D, Mathematics — Indiana University (2000)
On the lifting of intertwining operators and their parameterizations

Determining Functionals and Data Assimilation and a Novel Regularity Criterion for the Three-Dimensional Navier-Stokes Equations 2025 Research in Mathematical Sciences/Springer · 12 (3) · pp. Paper No. 46. 29 pages Abhishek Balakrishna, Animikh Biswas
Error estimates for deep learning methods in fluid dynamics 2022 Numerische Mathematik · 151 (3) · pp. 753-777 Animikh Biswas, Jing Tian, Suleyman Ulusoy
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System 2022 Applied Mathematics and Optimization · 86 (3) · pp. Paper no 28, 53 pages Abhishek Balakrishna, Animikh Biswas
Data assimilation for the Navier-Stokes equations using local observables 2021 SIAM Journal of Applied Dynamical Systems · 20 (4) · pp. 2174-2203 Animikh Biswas, Zachary Bradshaw, Michael S Jolly
Dissipation vs quadratic nonlinearity: From a priori energy bound to higher-order regularizing effect 2014 Nonlinearity/IOPScience · 27 (3) · pp. 545-562
Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes Journal of Differential Equations/Elsevier · Accepted Animikh Biswas, Joshua Hudson, Jing Tian
Error estimates for deep learning methods in fluid dynamics pp. 19 · Submitted Animikh Biswas, Jing Tian, Suleyman Ulusoy
Continuous data assimilation for the three dimensional Navier-Stokes equations pp. 29 · Submitted Animikh Biswas, Randy Price

Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes Journal of Differential Equations/Elsevier · Accepted Animikh Biswas, Joshua Hudson, Jing Tian
Error estimates for deep learning methods in fluid dynamics pp. 19 · Submitted Animikh Biswas, Jing Tian, Suleyman Ulusoy
Continuous data assimilation for the three dimensional Navier-Stokes equations pp. 29 · Submitted Animikh Biswas, Randy Price

Finite dimensional determining functionals, data assimilation and a novel regularity criterion for the 3D Navier-Stokes equations 2025 Workshop on Data Assimilation · Keynote/Plenary Address
Accuracy and Stability of a Class of Approximate Gaussian Filters for the Navier-Stokes Equations 2025 PDE Seminar at Texas A & M · Seminar
Generalized Gevrey norms with applications to dissipative equations 2013 SIAM Conference on Analysis of Partial Differential Equations · SIAM (Society for Industrial and Applied Mathematics) · Oral Presentation
Gevrey class techniques for dissipative equations: from turbulence to flocking 2013 UMBC Math Colloquium · Oral Presentation
Gevrey regularity for certain dissipative equations and long term behavior 2013 Recent Advances in Turbulence and Regularity Issues in Fluids · NSF · Oral Presentation

Collaborative Research: FDT-BioTech: Aspects of Digital Twin Studies for Neuroimages 2024 NSF · Grant · Funded Karuna Joshi (Co-Principal), Snigdhansu Chatterjee (Principal), Animikh Biswas (Co-Principal)