Dr. Kush Kinra
Email • PhD in Mathematics, IIT Roorkee
Analysis of (S)PDEs, Random attractors, Optimal control of Fluid Flow Equations
Postdoctoral Researcher
Room 03.319 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik
Research Gate | ORCID | Google Scholar | LinkedIn | Personal site
I hold a Master of Science in Mathematics, graduating with Distinction, from Chaudhary Charan Singh University, Meerut, Uttar Pradesh, India.
I received my PhD in Mathematics from the Department of Mathematics, Indian Institute of Technology Roorkee (IIT Roorkee), India, under the supervision of Dr. Manil T. Mohan. My doctoral thesis, “Random Dynamics of Convective Brinkman–Forchheimer Equations,” focused on the stochastic analysis of nonlinear fluid flow models and their long-term dynamical behavior. In recognition of the quality and impact of my doctoral research, I was honored with the Excellence in Doctoral Research Award–2024 (Best Thesis Award) at IIT Roorkee.
Following my PhD, I worked as a Postdoctoral Fellow at the Tata Institute of Fundamental Research – Centre for Applicable Mathematics (TIFR-CAM), Bengaluru, India, from December 2023 to June 2024, where I collaborated with Prof. Ujjwal Koley.
Subsequently, I joined the Center for Mathematics and Applications (NOVA Math), NOVA School of Science and Technology (NOVA FCT), Caparica, Portugal, as a Postdoctoral Fellow, where I worked from June 2024 to June 2026 in collaboration with Prof. Fernanda Cipriano.
My primary research interests include:
Mathematical Fluid Dynamics: Analytical and stochastic aspects of fluid flow models, including the Euler equations, Navier–Stokes equations, Convective Brinkman–Forchheimer equations, and Third-Grade fluid models, as well as control-theoretic aspects of stochastic fluid systems.
Stochastic Analysis: Well-posedness of stochastic partial differential equations, random dynamical systems, invariant measures, ergodicity, long-time behavior, and related asymptotic properties.
• PhD Thesis: Random Dynamics Of Convective Brinkman-Forchheimer Equations (November 2023)
Research interests
My research interests include
Mathematical Fluid Dynamics:
• Analytical and stochastic aspects of fluid flow models,
• including the Euler equations,
• Navier–Stokes equations,
• Convective Brinkman–Forchheimer equations,
• Third-Grade fluid models,
• control-theoretic aspects of stochastic fluid systems.
Stochastic Analysis:
• Well-posedness of stochastic partial differential equations,
• random dynamical systems,
• invariant measures,
• ergodicity,
• long-time behavior,
• related asymptotic properties
Projects
• Hybrid Control and Estimation of Semi-Dissipative Systems: Analysis, Computation, and Machine Learning. AFOSR (2026 – now)
Publications
Selected publications
2026
- Kinra K (2026) On Continuous Data Assimilation for a class of 2D and 3D stochastic non-Newtonian fluids of differential type, preprint arXiv:2604.15874
- Nouira R, Kinra K, & Cipriano F (2026) Continuous data assimilation for a class of non-Newtonian fluids of differential type in 2d and 3d, Journal of Mathematical Analysis and Applications, 130709
- Kinra K, & U Koley U (2026) Nonuniqueness of Hölder Continuous Solutions for Stochastic Euler and Hypodissipative Navier–Stokes Equations, SIAM Journal on Mathematical Analysis, Vol. 58, No. 2, pp. 1436-1484
- Kinra K, & Cipriano F (2026) Random dynamics and invariant measures for a class of non-Newtonian fluids of differential type on 2D and 3D Poincaré domains, Nonlinear Analysis, Vol. 264, 114005
- Kinra K, & Mohan MT (2026) Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains, Communications in Nonlinear Science and Numerical Simulation, 109877
2023
- Wang R, Kinra K, & Mohan MT (2023) Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains, SIAM Journal on Mathematical Analysis, Vol. 55, No. 4, pp. 2644-2676
- Kinra K, & Mohan MT (2023) Large time behavior of deterministic and stochastic 3D convective Brinkman-Forchheimer equations in periodic domains, Journal of Dynamics and Differential Equations, Vol. 35, No. 3, pp. 2355-2396
- Kinra K, & Mohan MT (2023) Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains, Discrete and Continuous Dynamical Systems-B, Vol. 29, No. 1, pp. 377-425