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Very recently, To et al.~have experimentally explored granular flow in a cylindrical silo, with a bottom wall that rotates horizontally with respect to the lateral wall \cite{Kiwing2019}. Here, we numerically reproduce their experimental…

Soft Condensed Matter · Physics 2021-04-30 D. Hernández-Delfin , T. Pongó , K. To , T. Börzsönyi , R. C. Hidalgo

We expand our previous analysis of nonlinear pulse shaping in optical fibres using machine learning [Opt. Laser Technol., 131 (2020) 106439] to the case of pulse propagation in the presence of gain/loss, with a special focus on the…

Optics · Physics 2020-12-03 Sonia Boscolo , John M. Dudley , Christophe Finot

We tackle the problem of estimating optical flow from a monocular camera in the context of autonomous driving. We build on the observation that the scene is typically composed of a static background, as well as a relatively small number of…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Min Bai , Wenjie Luo , Kaustav Kundu , Raquel Urtasun

Acoustic perturbations in a parallel relativistic flow of an inviscid fluid are considered. The general expression for the frequency of the sound waves in a uniformly (with zero shear) moving medium is derived. It is shown that relativity…

Astrophysics · Physics 2007-05-23 A. D. Rogava , V. I. Berezhiani , S. M. Mahajan

We show that ballistic transport of optically excited atoms in an atomic vapor provides a nonlocal nonlinearity which stabilizes the propagation of vortex beams and higher order modes in the presence of a self-focusing nonlinearity.…

Optics · Physics 2007-08-06 S. Skupin , M. Saffman , W. Krolikowski

Light diffusion is usually associated with thick, opaque media. Indeed, multiple scattering is necessary for the onset of the diffusive regime and such condition is generally not met in almost transparent media. Nonetheless, at long enough…

We study the formation of propagating large-scale density waves of mixed polar-nematic symmetry in a colony of self-propelled agents that are bound to move along the planar surface of a thin viscous film. The agents act as an insoluble…

Fluid Dynamics · Physics 2025-09-08 Andrey Pototsky , Uwe Thiele

Nonlinear optics is of crucial importance in several fields of science and technology with applications in frequency conversion, entangled-photon generation, self-referencing of frequency combs, crystal characterization, sensing, and…

Optics · Physics 2022-09-19 O. Dogadov , C. Trovatello , B. Yao , G. Soavi , G. Cerullo

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

Optical flow estimation is one of the fundamental tasks in low-level computer vision, which describes the pixel-wise displacement and can be used in many other tasks. From the apparent aspect, the optical flow can be viewed as the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-22 Yuhao Cheng , Siru Zhang , Yiqiang Yan

We study the dynamics of a self-propelled particle advected by a steady laminar flow. The persistent motion of the self-propelled particle is described by an active Ornstein-Uhlenbeck process. We focus on the diffusivity properties of the…

Statistical Mechanics · Physics 2020-03-17 Lorenzo Caprini , Fabio Cecconi , Andrea Puglisi , Alessandro Sarracino

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

We present numerical and analytical studies of coupled nonlinear Maxwell and thermal diffusion equations which describe nonisothermal dendritic flux penetration in superconducting films. We show that spontaneous branching of propagating…

Localized Structures often behave as quasi-particles and they may form molecules characterized by well-defined bond distances. In this paper we show that pointwise nonlocality may lead to a new kind of molecule where bonds are not rigid.…

Pattern Formation and Solitons · Physics 2017-07-26 J. Javaloyes , M. Marconi , M. Giudici

Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal curvature flow for convex closed plane curves and discuss the short time existence and asymptotic convergence behavior of the flow. Due to the linear structure…

Differential Geometry · Mathematics 2010-12-02 Yu-Chu Lin , Dong-Ho Tsai

We derive a nonlinear envelope equation to describe the propagation of broadband optical pulses in second order nonlinear materials. The equation is first order in the propagation coordinate and is valid for arbitrarily wide pulse…

Optics · Physics 2013-08-09 Matteo Conforti , Fabio Baronio , Costantino De Angelis

We present a formal demonstration that light can simultaneously exhibit a superfluid behavior and spatial long-range order when propagating in a photonic crystal with self-focussing nonlinearity. In this way, light presents the…

Pattern Formation and Solitons · Physics 2017-07-11 Albert Ferrando , Miguel Ángel García-March , Mario Zacarés

Inspired by the spontaneous behaviour observed in filamentous layers -- where the balance between flow-induced drag and structural elasticity dictates the filaments' equilibrium streamlined posture -- we perform a series of large-eddy…

End-to-end trained convolutional neural networks have led to a breakthrough in optical flow estimation. The most recent advances focus on improving the optical flow estimation by improving the architecture and setting a new benchmark on the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 D. B. de Jong , F. Paredes-Vallés , G. C. H. E. de Croon

We investigate the nonlinear optical process of third-harmonic generation in the thus far unexplored regime of focusing the pump light from a full solid angle, where the nonlinear process is dominantly driven by a standing dipole-wave. We…

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