Tootfinder

Distributed force element decomposition with method of fundamental solutions
Zhiteng Zhou, Yi Liu, Hongping Wang, Shizhao Wang
https://arxiv.org/abs/2509.07783 https://

Distributed force element decomposition with method of fundamental solutions
Quantifying the contribution of vortex structures to pressure stress is useful for designing flow control strategies to mitigate low or drag. The traditional force-element method focuses on the contribution of vortex structures to the resultant force. However, the contribution of vortex structures to the distributed force can not be identified. To address this problem, a distributed force element method is proposed. This method projects the Navier-Stokes equation to a divergence-free space and …

Dynamics in Two-Sided Attention Markets: Objective, Optimization, and Control
Haiqing Zhu, Yun Kuen Cheung, Lexing Xie
https://arxiv.org/abs/2509.01970 https://

Dynamics in Two-Sided Attention Markets: Objective, Optimization, and Control
With most content distributed online and mediated by platforms, there is a pressing need to understand the ecosystem of content creation and consumption. A considerable body of recent work shed light on the one-sided market on creator-platform or user-platform interactions, showing key properties of static (Nash) equilibria and online learning. In this work, we examine the {\it two-sided} market including the platform and both users and creators. We design a potential function for the coupled i…

Data-driven modeling for flow reconstruction from sparse temperature measurements
Xicheng Wang, YiMeng Chan, KinWing Wong, Dmitry Grishchenko, Pavel Kudinov
https://arxiv.org/abs/2509.01189

Data-driven modeling for flow reconstruction from sparse temperature measurements
Measurement of the velocity field in thermal-hydraulic experiments is of great importance for phenomena interpretation and code validation. Direct measurement employing Particle Image Velocimetry (PIV) is challenging in some multiphase scenarios where the measurement system would be strongly affected by the phase interaction. In such cases, measurement can only be achieved via sparsely distributed sensors, such as Thermocouples (TCs) and pressure transducers. An example can refer to steam injec…