Abhishek Balakrishna
Visiting Assistant Professor
University of California, Riverside
Visiting Assistant Professor
University of California, Riverside
email: abalakri@ucr.edu
email: abalakri@ucr.edu
I am a Visiting Assistant Professor at the University of California, Riverside working with James P. Kelliher. Prior to joining UC Riverside, I was an RTPC Assistant Professor of Mathematics (postdoctoral position) at the University of Southern California, where I worked with Igor Kukavica.
I received my Ph.D. in Applied Mathematics from the University of Maryland, Baltimore County, under the supervision of Animikh Biswas and Justin Webster.
My research lies in nonlinear partial differential equations, with a focus on fluid dynamics, data assimilation, and fluid–structure interaction. I work on PDE models from first-principles derivation through rigorous analysis of well-posedness, qualitative behavior, and long-time dynamics, especially in regimes motivated by realistic measurement, geometry, and scale effects.
Research Interests
• Nonlinear Partial Differential Equations
• Fluid Dynamics
• Data Assimilation
• Fluid–Structure Interaction
Education
Ph.D. in Applied Mathematics
University of Maryland, Baltimore County
M.S. in Mathematics
Indian Institute of Science
B.S. in Mathematics
Indian Institute of Science