13 papers
Suppression of Blow-up in Two-dimensional Keller--Segel Systems by Stochastic Couette Flows
Fanze Kong, Krutika Tawri
We study Keller--Segel systems on subject to a stochastic Couette transport flow. We prove that sufficiently strong mixing suppresses chemotactic fini…
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…
Existence of weak martingale solutions to a stochastic fluid-structure interaction problem with a compressible viscous fluid
Jeffrey Kuan, Krutika Tawri
We study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic…
A stochastic fluid-structure interaction problem with the Navier slip boundary condition
Krutika Tawri
We prove the existence of martingale solutions to a stochastic fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the Navier-Stokes equa…
A 2D stochastic fluid-structure interaction problem in compliant arteries with non-zero longitudinal displacement
Krutika Tawri
In this paper, we study a nonlinear fluid-structure interaction problem driven by a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describ…
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem
Krutika Tawri, Suncica Canic
In this paper we study a nonlinear stochastic fluid-structure interaction problem with a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations de…
Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow
Woojeong Kim, Krutika Tawri, Roger Temam
In this article we consider a fluid-structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus…
Nonlinear Stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Levy noise
Phuong Nguyen, Krutika Tawri, Roger Temam
The aim of this article is to show the global existence of both martingale and pathwise solutions of stochastic equations with a monotone operator, of the Ladyzenskaya-Smagorinsky…