3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
Existence and long-time behavior of global strong solutions to a nonlinear model of tumor growth
Jeffrey Kuan, Konstantina Trivisa
In this manuscript, we study a nonlinear model of tumor growth, described by a coupled hyperbolic-elliptic system of partial differential equations. In this model, the compressible…