Krutika Tawri

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-2553666 (transferred from DMS-2407197).

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) (Special edition in memory of Ciprian Foias) (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) (Special edition: Ildefonso Díaz's 70th birthday) (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, to appear in SIAM Journal on Mathematical Analysis (2026).
• [Book] S. Canic, J. Kuan, B. Muha, K. Tawri, Deterministic and Stochastic Fluid-Structure Interaction, Advances in Mathematical Fluid Mechanics, Birkhauser/Springer, Cham (2026), pp. XVII+617.
• 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, Well-posedness and existence of an invariant measure for the linearly-damped KdV equations driven by a jump noise. (2026).

• R. Dai, J. Kuan, K. Tawri, S. Canic, K. Trivisa, Stochastic Compressible Euler Equations with Frictional Damping: Existence of L^\infty Martingale Solutions and Asymptotic Porous Medium-Like Behavior (2026).