Tootfinder

Homogenization-based optimization of wall thickness distribution for TPMS two-fluid heat exchangers
Kaito Ohtani, Hiroki Kawabe, Kentaro Yaji, Kikuo Fujita, Vikrant Aute
https://arxiv.org/abs/2510.10622

Homogenization-based optimization of wall thickness distribution for TPMS two-fluid heat exchangers
Triply Periodic Minimal Surface (TPMS) structures are attracting growing attention as promising geometries for next-generation high-performance heat exchangers (HXs), due to their continuous flow paths and high surface-area-to-volume ratio that enhance heat transfer performance. Among these, graded TPMS structures with spatially varying thickness have emerged as a potential means to further improve performance. This study proposes an optimization method of wall thickness distribution for TPMS H…

Comparison Theorems and the Intermediate Ricci Curvature Assumption
Yujie Wu
https://arxiv.org/abs/2510.11205 https://arxiv.org/pdf/2510.11205

Comparison Theorems and the Intermediate Ricci Curvature Assumption
We explore the notion of m-intermediate Ricci curvature assumption introduced by Brendle-Hirsch-Johne further. If a manifold has non-negative m-intermediate Ricci curvature and stable weighted slicing of order m-1, then the last slice has almost non-negative Ricci curvature in the spectral sense. We prove comparison theorems on the diameter and in-radius bound for stable weighted (respectively free boundary) slicing in such manifolds (respectively with mean convex boundary).

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Shuzhi Xu, Yifan Guo, Hiroki Kawabe, Kentaro Yaji
https://arxiv.org/abs/2510.08830

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally expensive and struggle to capture cross-scale sensitivities in nonlinear settings. Moreover, the resulting hierarchical geometries are often overly complex and lack macroscopically meaningful features. To overcome these issues, we propose an evolutionary de-h…

Energetics-based model for a diffusiophoretic motion of a deformable droplet
Hiroyuki Kitahata, Yuki Koyano, Yasuaki Kobayashi, Masaharu Nagayama
https://arxiv.org/abs/2508.09684

Energetics-based model for a diffusiophoretic motion of a deformable droplet
We construct a mathematical model for a diffusiophoretic motion of a deformable droplet, which is floating at a liquid surface and is driven by the surface tension gradient originating from the surface concentration field of the chemicals that are emitted from the droplet. We define the free energy of the system by including the surface and line energies. From the calculation of the functional of the free energy, we obtain a mathematical model for the diffusiophoretic motion with deformation. B…

A survey for variable young stars with small telescopes: X -- Comparing stochastic YSO light curve
Benjamin W. Ryan, Holly Stokes-Geddes, Dirk Froebrich
https://arxiv.org/abs/2509.07710

A survey for variable young stars with small telescopes: X -- Comparing stochastic YSO light curve
Light curves of young stars exhibit photometric variability over hours to decades and across a wide range of amplitudes. On time scales beyond a few rotation periods, these light curves are typically stochastic. The variability arises from a combination of accretion rate changes, line-of-sight extinction variations, and evolving spotted stellar surfaces. We aim to develop a methodology to quantitatively compare the full variability statistics of these inhomogeneously sampled light curves with m…

After typhoon 🌀 Yagi in 2024, the north of #Vietnam faced yet another unprecedented storm. #climatechange
People take hours and hours to get to their families, they swim, the strand.