Physical Review E

Author(s): Junchao Sun, Xiaoyan Tang, and Yong Chen

We derive a nonlocal Ostrovsky equation to describe two internal waves generated at distinct locations and times, together with their correlations and interactions. When the initial conditions are P̂T̂ symmetry invariant, the internal waves can either exhibit cnoidal wave structures that are largely…

[Phys. Rev. E 112, 055104] Published Wed Nov 12, 2025

Author(s): Andrew Cleary and Jacob Page

Deep autoencoder neural networks can generate highly accurate, low-order representations of turbulence. We design a family of autoencoders which are a combination of a “dense-block” encoder-decoder structure [Page et al., J. Fluid Mech. 991, A10 (2024)], an "implicit rank minimization" series of lin…

[Phys. Rev. E 112, 055105] Published Wed Nov 12, 2025

Author(s): G. Mederos, J. Arcos, O. Bautista, and F. Méndez

We investigate the Taylor-Aris dispersion resulting from oscillatory squeeze flow (OSF) of an Oldroyd-B viscoelastic fluid in the gap between two hydrophobic disks. The slippage between the fluid and the surfaces of both disks is modeled using a dynamic slip boundary condition, which accounts for pe…

[Phys. Rev. E 112, 055106] Published Wed Nov 12, 2025

Author(s): Mogens T. Levinsen

Walkers are oil drops surfing on a vibrated oil surface and driven by their self-generated capillary waves. Since some of the first measurements on walkers seemingly showed quantum-like behavior, walkers have been considered a model system for a hydrodynamic pilot-wave system. An early experiment sh…

[Phys. Rev. E 112, 055107] Published Wed Nov 12, 2025

Author(s): Fang Xiong, Lei Wang, and Xinyue Liu

The Cahn-Hilliard equation, as a classical diffusion-interface method of phase field, has been extensively employed for simulating two-phase fluid dynamics. However, it suffers from a key challenge in the simulation process, specifically the volume conservation of each phase cannot be guaranteed. To…

[Phys. Rev. E 112, 055103] Published Thu Nov 06, 2025

Author(s): Chaojie Mo, Caoxing Mo, Qingfei Fu, Lijun Yang, and Longfei Chen

Hydrodynamic interactions play a crucial role in the formation of flagellated microswimmer clusters, yet they are still not clearly understood. In this article we try to elucidate the influence mechanism of the flagellum elasticity on the clustering-separation process of two flagellated microswimmer…

[Phys. Rev. E 112, 055101] Published Tue Nov 04, 2025

Author(s): Robert Kuszelewicz

We develop a comprehensive three-dimensional theory to describe the hydrodynamics of magnetic nanoparticles exposed to an external time-dependent magnetic field. This theory extends the mobility matrix formalism developed by J. Happel, to (quasi-) magnetostatic interactions and incorporates Brownian…

[Phys. Rev. E 112, 055102] Published Tue Nov 04, 2025

Author(s): Mingming Gu, Zilong Deng, and Yongping Chen

This work proposes a model to simulate transient flow of a gas mixture at arbitrary rarefaction parameters and molar fractions through a long capillary. The transient model is based on the linear relationship between the thermodynamic fluxes (mass flow rate, diffusion flux, etc.) and the thermodynam…

[Phys. Rev. E 112, 045110] Published Fri Oct 31, 2025

Author(s): Vadim Travnikov and Christoph Egbers

The study of large-scale convective flows within a spherical gap has been the focus of numerous theoretical and numerical investigations because of its relevance to geophysical applications. This is particularly true in scenarios where the inner surface is warmer than the outer surface, and the flui…

[Phys. Rev. E 112, 045109] Published Wed Oct 22, 2025