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.

Uncovering bistability phenomena in two-layer Couette flow experiments using nonlocal evolution equations

This paper demonstrates that a nonlinear, nonlocal asymptotic model derived from the Navier-Stokes equations accurately predicts and characterizes the bistability of unimodal and bimodal travelling waves observed in two-layer Couette flow experiments, while also revealing new symmetry-breaking branches and time-periodic orbits through comprehensive bifurcation analysis.

Xingyu Wang, Pierre Germain, Demetrios T. Papageorgiou2026-02-17🔬 physics

Predicting liquid properties and behavior via droplet pinch-off and machine learning

This study demonstrates that machine learning models trained on high-speed images of droplet pinch-off can accurately predict key fluid properties like viscosity and surface tension, offering a simplified and automated alternative to conventional measurement techniques.

Jingtao Wang, Qiwei Chen, C Ricardo Constante-Amores, Denise Gorse, Alfonso Arturo Castrejon-Pita, and Jose Rafael, Castrejon-Pitaa2026-02-17🔬 physics

Non-uniqueness of smooth solutions of the Navier-Stokes equations from almost the same initial conditions

This paper presents numerical evidence using Clean Numerical Simulation suggesting that the Navier-Stokes equations may admit distinct global solutions arising from initial conditions differing by as little as 104010^{-40}, thereby challenging the uniqueness of smooth solutions and offering new insights into the associated Millennium Prize Problem.

Shijun Liao, Shijie Qin2026-02-17🌀 nlin

Higher-order mean velocity profile in the convective atmospheric boundary layer

This paper derives a higher-order mean velocity profile for the convective atmospheric boundary layer using matched asymptotic expansions and field data from the M2^2HATS campaign, demonstrating excellent agreement with measurements and validating the convective logarithmic friction law to at least second order while accounting for deviations from standard similarity theories.

Chenning Tong, Davoud Pourabdollah, Kirill Barskov, Mengjie Ding2026-02-17🔬 physics

Resolving Cryogenic and Hypersonic Rarefied Flows via Deep Learning-Accelerated Lennard-Jones DSMC

This paper presents a high-fidelity, machine learning-accelerated Direct Simulation Monte Carlo framework that integrates a Lennard-Jones potential via a universal Variable Effective Diameter model and a Deep Operator Network surrogate to efficiently resolve complex rarefied flows, revealing significant physical discrepancies in cryogenic and hypersonic regimes compared to traditional models.

Ahmad Shoja Sani, Ehsan Roohi, Stefan Stefanov2026-02-17🔬 physics

Preconditioned Adjoint Data Assimilation for Two-Dimensional Decaying Isotropic Turbulence

This paper proposes a preconditioned adjoint data assimilation method for two-dimensional decaying isotropic turbulence that redefines the adjoint operator's inner product using Fourier-space weighting kernels to suppress the exponential growth of small-scale structures in backward time, thereby significantly improving the reconstruction of initial conditions from sparse measurements.

Hongyi Ke, Zejian You, Qi Wang2026-02-17🔬 physics