9 papers
Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass
Fanze Kong, Chen-Chih Lai, Krutika Tawri
We consider a stochastic Keller-Segel-Navier-Stokes system in describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by…
Finite-time contact in fluid-elastic structure interaction: Navier-slip coupling condition
Krutika Tawri, Nash Ward
We consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube,…
Stochastic Compressible Euler Equations with Frictional Damping: Existence of Martingale Solutions and Asymptotic Porous Medium-Like Behavior
Rongyi Dai, Jeffrey Kuan, Krutika Tawri +2
We study the one-dimensional isentropic compressible Euler equations with linear (frictional) damping, subject to multiplicative, white-in-time stochastic forcing. The system is po…
Well-posedness and existence of an invariant measure for the linearly-damped KdV equations driven by a jump noise
Krutika Tawri, Roger Temam, Xinwu Yang
In this paper, we investigate the linearly damped KdV equation on the one-dimensional torus , perturbed by a multiplicative Lévy noise. For any damping coefficient $γ>…
Statistically stationary solutions to the stochastic isentropic compressible Euler equations with linear damping
Jeffrey Kuan, Krutika Tawri, Konstantina Trivisa
We study the long time behavior of isentropic compressible Euler equations with linear damping driven by a white-in-time noise, on a one-dimensional torus. We prove the existence o…
Existence and Regularity Results for a Nonlinear Fluid-Structure Interaction Problem with Three-Dimensional Structural Displacement
Sunčica Čanić, Boris Muha, Krutika Tawri
In this paper we investigate a nonlinear fluid-structure interaction (FSI) problem involving the Navier-Stokes equations, which describe the flow of an incompressible, viscous flui…