2 papers
math.AP2025
Input-to-state type Stability for Simplified Fluid-Particle Interaction System
Zhuo Xu
In this paper, we study the well-posedness and the input-to-state type stability of a one-dimensional fluid-particle interaction system. A distinctive feature, not yet considered i…
math.AP2025
Global Exponential Stabilization for a Simplified Fluid-Particle Interaction System
Marius Tucsnak, Zhuo Xu
This work considers a system coupling a viscous Burgers equation (aimed to describe a simplified model of fluid flow) with the ODE describing the motion of a point mass moving…