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We show how dynamical equations for liquid films and drops on uneven surfaces, including contact line dynamics and evaporation/condensation effects, may be formulated as a variational dynamics, generated via Onsager's variational principle.…

Soft Condensed Matter · Physics 2026-05-15 Gyula I Tóth , David N Sibley , Agnes J Bokányi-Tóth , Dmitri Tseluiko , Andrew J Archer

We present a novel discrete velocity kinetic framework to consistently recover the viscous shallow water equations. The proposed model has the following fundamental advantages and novelties: (a) A novel interpretation and general framework…

Fluid Dynamics · Physics 2025-05-13 S. A. Hosseini , I. V. Karlin

Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals…

Dynamical Systems · Mathematics 2016-09-21 Mohammad Farazmand , Themistoklis Sapsis

Modern techniques for physical simulations rely on numerical schemes and mesh-refinement methods to address trade-offs between precision and complexity, but these handcrafted solutions are tedious and require high computational power.…

Machine Learning · Computer Science 2024-02-21 Janny Steeven , Nadri Madiha , Digne Julie , Wolf Christian

Fluid flows play a central role in scientific and technological development, and many of these flows are characterized by a dominant oscillation, such as the vortex shedding in the wake of nearly all transportation vehicles. The ability to…

Fluid Dynamics · Physics 2021-10-13 Aditya G. Nair , Kunihiko Taira , Bingni W. Brunton , Steven L. Brunton

The estimation of rare event probabilities plays a pivotal role in diverse fields. Our aim is to determine the probability of a hazard or system failure occurring when a quantity of interest exceeds a critical value. In our approach, the…

Methodology · Statistics 2025-04-11 Lea Friedli , David Ginsbourger , Arnaud Doucet , Niklas Linde

Machine learned force fields typically require manual construction of training sets consisting of thousands of first principles calculations, which can result in low training efficiency and unpredictable errors when applied to structures…

Computational Physics · Physics 2019-11-21 Jonathan Vandermause , Steven B. Torrisi , Simon Batzner , Yu Xie , Lixin Sun , Alexie M. Kolpak , Boris Kozinsky

We investigate the statistical properties, based on numerical simulations and analytical calculations, of a recently proposed stochastic model for the velocity field of an incompressible, homogeneous, isotropic and fully developed turbulent…

Fluid Dynamics · Physics 2016-04-28 Rodrigo M. Pereira , Christophe Garban , Laurent Chevillard

In this work, we quantify the time scales and information flow associated with multiscale energy transfer in a weakly turbulent system. This is done through a greedy optimization algorithm which finds the maximum conditional-mutual…

Chaotic Dynamics · Physics 2026-01-13 Christopher W. Curtis , Erik M. Bollt

High-speed boundary-layer transition is extremely sensitive to the free-stream disturbances which are often uncertain. This uncertainty compromises predictions of models and simulations. To enhance the fidelity of simulations, we directly…

Fluid Dynamics · Physics 2021-04-28 David A. Buchta , Tamer A. Zaki

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

We present $\nu$-Flows, a novel method for restricting the likelihood space of neutrino kinematics in high energy collider experiments using conditional normalizing flows and deep invertible neural networks. This method allows the recovery…

High Energy Physics - Phenomenology · Physics 2023-07-19 Matthew Leigh , John Andrew Raine , Knut Zoch , Tobias Golling

We introduce a novel and powerful method for exploring the properties of the multidimensional free energy surfaces of complex many-body systems by means of a coarse-grained non-Markovian dynamics in the space defined by a few collective…

Statistical Mechanics · Physics 2009-11-07 A. Laio , M. Parrinello

We propose a physics-aware machine learning method to time-accurately predict extreme events in a turbulent flow. The method combines two radically different approaches: empirical modelling based on reservoir computing, which learns the…

Fluid Dynamics · Physics 2019-12-24 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

In this paper, we present an innovative risk-bounded motion planning methodology for stochastic multi-agent systems. For this methodology, the disturbance, noise, and model uncertainty are considered; and a velocity obstacle method is…

Robotics · Computer Science 2022-02-22 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Masayoshi Tomizuka , Tong Heng Lee

Predictions of global climate models typically operate on coarse spatial scales due to the large computational costs of climate simulations. This has led to a considerable interest in methods for statistical downscaling, a similar process…

Artificial Intelligence · Computer Science 2024-06-03 Christina Winkler , Paula Harder , David Rolnick

In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the…

Analysis of PDEs · Mathematics 2013-04-04 Roberto Garra , Federico Polito

We propose a method to change the effective interaction between two fluids by modulation of their local density distributions with external periodic potentials, whereby the mixing properties can be controlled. This method is applied to a…

Quantum Gases · Physics 2023-09-27 Abid Ali , Hiroki Saito

This paper considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible…

Optimization and Control · Mathematics 2024-08-27 Ahmed Allibhoy , Jorge Cortés

We present a stochastic turbulence generator based on a vorticity formulation where the generated turbulent field implicitly fulfills the kinematic constraints of an incompressible flow. The generator allows direct access to the turbulent…

Fluid Dynamics · Physics 2017-02-09 Mads Mølholm Hejlesen , Jens Honore Walther