Research Interests

My research interests include deterministic and stochastic nonlinear Partial Differential Equations (PDE) arising from fluid dynamics, geophysics and biomechanics.

My research is partially funded by the National Science Foundation grant DMS-240719. Funding for graduate students is available.

Awards and Grants

2024-2027 NSF DMS-240719 Stochastic moving boundary problems arising in fluid-structure interaction (PI).

2023 SIAM travel grant for ICIAM, Tokyo.

2022 Bhatnagar Award for Outstanding Thesis in Applied Mathematics.

2021-2022-IUB College of Arts and Sciences Dissertation Fellowship.

2021-Muriel Adams Stahl Award.

2020-Hazel King Thompson Fellowship.

2020-Glenn Schober Memorial Fellowship.

2019-IUB- Provosts Travel Award for Women in Science.

2019- American Mathematical Society Graduate Student Travel Grant.

Books

• S. Canic, J. Kuan, B. Muha, K. Tawri, Deterministic and Stochastic Fluid-Structure Interaction, Advances in Mathematical Fluid Mechanics, Birkhauser/Springer, Cham (2025), pp. XVII+617, in press

Publications

• M. Hamouda, D. Han, C.-Y. Jung, K. Tawri, R. Temam, Boundary layers for the subcritical modes of the 3D primitive equations in a cube, Journal of Differential Equations, 267 (1) (2019), 61-96.
• P. Nguyen, K. Tawri, R. Temam, Nonlinear stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Lévy noise, Journal of Functional Analysis, 281 (8) (2021), 74 pp.

• K. Tawri, R. Temam, Hilbertian approximation of monotone operators, Pure and Applied Functional Analysis, 7 (1) (2022), 357-387.

• K. Tawri, On upper semicontinuity of the Allen-Cahn twisted eigenvalues, Asymptotic Analysis, 130 (3-4) (2022), 323-334.
• W. Kim, K. Tawri, R. Temam, Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116 (4) (2022), 23 pp.
• W.-T. Fan, A. Pakzad, K. Tawri, R. Temam, Shear driven turbulence with Lévy noise at the boundary in three dimensions, Probability, Uncertainty and Quantitative Risk, 8 (1) (2023), 75-94.
• K. Tawri, A stochastic fluid-structure interaction problem with the Navier slip boundary condition, SIAM Journal on Mathematical Analysis, 56 (6) (2024), 7508-7544.
• K. Tawri, S. Canic, Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem, Communications in Partial Differential Equations, 50 (3) (2025), 353-406.
• K. Tawri, A 2D stochastic fluid-structure interaction problem in compliant arteries with non-zero longitudinal displacement, Journal of Differential Equations, 431 (2025), 113243.
• J. Kuan, K. Tawri, Existence of solutions to a stochastic fluid-structure interaction problem with a compressible viscous fluid, Journal of Differential Equations, 449 (2025), 113669.
• S. Canic, B. Muha, K. Tawri, Existence and regularity results for a nonlinear fluid-structure interaction problem with 3D structure displacement, (2024), in review.
• J. Kuan, K. Tawri, K. Trivisa, Statistically stationary solutions to the stochastic compressible Euler equations with linear damping, (2025).

• K. Tawri, R. Temam, X. Yang, Existence of invariant measure for damped stochastic KdV equation driven by a Levy noise.