967 papers
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.
This paper demonstrates that the Gurevich-Pitaevskii solution of the KdV equation, which describes dispersive shock waves and satisfies a self-similar reduction of the next hierarchy member, cannot obey any lower-order partial differential equation other than a first-order one, for which the authors provide a converging Laurent series representation.
This paper demonstrates that stochastic motion at fluid interfaces generates finite wave resistance below the deterministic radiation threshold and regularizes singular responses, providing explicit scaling laws for drifted Brownian trajectories and closed-form solutions for drifted Lévy flights.
This paper combines analytical theory and numerical simulations to demonstrate that fluid injection rate governs fault-gouge failure by creating pressure heterogeneity, where slow injection causes uniform weakening while rapid injection preserves strength in distal regions, thereby offering a refined framework for predicting seismicity in geotechnical operations.
This paper demonstrates that direct numerical simulations of elastic turbulence can yield accurate physical insights into flow statistics even when local violations of the positive-definiteness condition occur, suggesting that maintaining strict physical constraints is not always necessary for capturing meaningful dynamics.
Through extensive direct numerical simulations of stratified turbulent flows, this study reveals that buoyancy flux exhibits strong intermittency and non-Gaussian statistics driven by large-scale long-time fluctuations, with its domain-averaged behavior scaling logarithmically with the buoyancy Reynolds number and being fundamentally linked to convective instabilities that trigger burst-like energy dissipation cycles.
This paper demonstrates that an Euler-Korteweg vortex model in a specific fluid system can be mathematically reformulated to yield equations equivalent to the Schrödinger and Klein-Gordon equations, thereby establishing a fluid-mechanical analogue that reproduces fundamental quantum phenomena such as the de Broglie wavelength, the uncertainty principle, and relativistic wave dynamics.
This paper formulates elastic and elasto-inertial turbulence within the Martin-Siggia-Rose path-integral framework to derive nonperturbative Ward identities via a symmetry algorithm, which are then applied to an extended Burgers equation model to constrain closure schemes and elucidate scaling behavior near fixed points.
This paper introduces a novel, architecture-agnostic framework that adapts Proper Orthogonal Decomposition (POD) and Morlet wavelet transforms to analyze transformer attention fields, revealing layer-dependent scale organization and providing a data-driven metric for attention complexity without requiring linguistic annotations.
This paper develops and analyzes a novel entropy-compatible discretization scheme for FENE-type diffusive flows that rigorously preserves the finite-extensibility trace barrier, ensures free-energy decay, and maintains numerical robustness at high Weissenberg numbers.
Through direct numerical simulations, this study reveals that in multiphase turbulence, interface breakup and coalescence drive a distinct multifractal organization of dissipation, causing intense energy dissipation events to extend deep into the sub-Kolmogorov range and significantly broaden the local dissipative cutoff compared to single-phase turbulence.