Fluid dynamics explores how liquids and gases move, shaping everything from weather patterns to the flow of blood through our veins. This field bridges the gap between abstract mathematical equations and the tangible forces that drive our physical world, offering insights into turbulence, aerodynamics, and fluid behavior in complex environments.

On Gist.Science, we process every new preprint in this category directly from arXiv to make cutting-edge research accessible to everyone. Each paper is transformed into a clear, plain-language overview alongside a detailed technical summary, ensuring both students and experts can grasp the latest findings without getting lost in dense jargon.

Below, you will find the most recent studies in fluid dynamics, curated and explained for a broader audience.

Discontinuity-aware KAN-based physics-informed neural networks

This paper proposes Discontinuity-aware Physics-Informed Neural Networks (DPINNs), a novel framework that integrates adaptive Fourier-feature embeddings, a discontinuity-aware Kolmogorov-based architecture, mesh transformation, and learnable artificial viscosity to overcome spectral bias and instability, thereby achieving superior accuracy in solving partial differential equations with sharp discontinuities and complex geometries.

Guoqiang Lei, D. Exposito, Xuerui Mao2026-03-25🔬 physics

On the role of water activity on the formation of a protein-rich coffee ring in an evaporating multicomponent drop

This study demonstrates that in evaporating respiratory droplets containing mucin, the formation of a protein-rich coffee ring is governed by a feedback loop between local solute concentration and evaporation rate mediated by water activity, a mechanism captured by a new theoretical model that explains the humidity-dependent stability and infectivity of such droplets.

Javier Martínez-Puig, Gianluca D'Agostino, Ana Oña, Javier Rodríguez-Rodríguez2026-03-25🔬 physics

Fluctuation-induced giant magnetoresistance in charge-neutral graphene

This paper presents a quantitative theory demonstrating that Johnson-Nyquist noise-induced density fluctuations in charge-neutral graphene drive a fluctuating hydrodynamic flow, which generates a size-dependent fluctuation conductivity that diverges logarithmically at zero magnetic field and is rapidly suppressed by external fields, resulting in a giant magnetoresistance effect.

A. Levchenko, E. Kirkinis, A. V. Andreev2026-03-25🔬 cond-mat.mes-hall

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

The paper proposes DiAFNO, a novel model integrating an Implicit Adaptive Fourier Neural Operator with a diffusion framework to achieve accurate, stable, and efficient autoregressive predictions of three-dimensional turbulence across various flow regimes, outperforming both existing diffusion models and traditional large-eddy simulations.

Yuchi Jiang, Yunpeng Wang, Huiyu Yang, Jianchun Wang2026-03-25🔬 physics

Physics-Informed Transformer operator for the prediction of three-dimensional turbulence

This paper introduces physics-informed Transformer operators (PITO and PIITO) that leverage the Vision Transformer architecture and embedded LES equations to accurately and efficiently predict 3D turbulence with superior stability, lower memory usage, and fewer parameters compared to existing methods like PIFNO, all without requiring labeled training data.

Zhihong Guo, Sunan Zhao, Huiyu Yang, Yunpeng Wang, Jianchun Wang2026-03-25🔬 physics