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Localized patterns are coherent structures embedded in a quiescent state and occur in both discrete and continuous media across a wide range of applications. While it is well-understood how domain covering patterns (for example stripes and…

Pattern Formation and Solitons · Physics 2025-03-19 Jason J. Bramburger , Dan J. Hill , David J. B. Lloyd

Changing climate signals and the continuous world population growth requires proper hydrologic risk analysis to build and operate water resource infrastructures in a sustainable way. Although modernized computational facilities are becoming…

Pattern Formation and Solitons · Physics 2022-08-30 Victor Peñaranda , David Serrano , Mahesh Maskey

Spatial statistics is dominated by spatial autocorrelation (SAC) based Kriging and BHM, and spatial local heterogeneity based hotspots and geographical regression methods, appraised as the first and second laws of Geography (Tobler 1970;…

Methodology · Statistics 2024-03-07 Jinfeng Wang , Robert Haining , Tonglin Zhang , Chengdong Xu , Maogui Hu

Water, a subject of human fascination for millennia, is likely the most studied substance on Earth, with an entire scientific field -- hydrodynamics -- dedicated to understanding water in motion. However, when water flows through…

Soft Condensed Matter · Physics 2025-08-19 Maxim Trushin , Daria V. Andreeva , Francois M. Peeters , Kostya S. Novoselov

How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling…

Fluid Dynamics · Physics 2026-04-21 Daniel Lester , Marco Dentz

Scaling of turbulent wall-bounded flows is revealed in the gradient structures, for each of the Reynolds stress components. Within the dissipation structure, an asymmetrical order exists, that we can deploy to unify the scaling and…

Fluid Dynamics · Physics 2021-02-02 T. -W. Lee

Two-dimensional maps can model interactions between populations. Despite their simplicity, these dynamical systems can show some complex situations, as multistability or fractal boundaries between basins that lead to remarkable pictures.…

Chaotic Dynamics · Physics 2010-06-21 Daniele Fournier-Prunaret , Ricardo Lopez-Ruiz

Urban scaling, the superlinear increase of social and economic measures with increasing population, is an ubiquitous and well-researched phenomenon. This article is focused on socio-economic performance scaling, which could possibly be…

Physics and Society · Physics 2022-01-19 Pieter P. Tordoir , Anthony F. J. van Raan

The Earth's surface is composed of a staggering diversity of particulate-fluid mixtures: dry to wet, dilute to dense, colloidal to granular, and attractive to repulsive particles. This material variety is matched by the range of relevant…

Soft Condensed Matter · Physics 2019-03-12 Douglas J. Jerolmack , Karen E. Daniels

Anthropogenic pollution of hydrological systems affects diverse communities and ecosystems around the world. Data analytics and modeling tools play a key role in fighting this challenge, as they can help identify key sources as well as…

Machine Learning · Computer Science 2023-09-26 David L. Cole , Gerardo J. Ruiz-Mercado , Victor M. Zavala

Characteristic scale is a notion that pervades the geophysical sciences, but it has no widely accepted precise definition. The wavelet transform decomposes a time series into coefficients that are associated with different scales. The…

Methodology · Statistics 2010-07-26 Michael J. Keim , Donald B. Percival

Dissipative dynamical systems characterised by two basins of attraction are found in many physical systems, notably in hydrodynamics where laminar and turbulent regimes can coexist. The state space of such systems is structured around a…

Fluid Dynamics · Physics 2020-09-11 Miguel Beneitez , Yohann Duguet , Philipp Schlatter , Dan S. Henningson

Predicting flood for any location at times of extreme storms is a longstanding problem that has utmost importance in emergency management. Conventional methods that aim to predict water levels in streams use advanced hydrological models…

Machine Learning · Computer Science 2019-06-25 Muhammed Sit , Ibrahim Demir

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwaters and various other structures. We try to address this…

Optimization and Control · Mathematics 2022-09-16 Luka Schlegel , Volker Schulz

We investigate flow dynamics in rivers characterized by basin areas and daily mean discharge spanning different orders of magnitude. We show that the delayed increments evaluated at time scales ranging from days to months can be opportunely…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 M. De Domenico , V. Latora

River networks exhibit a complex ramified structure that has inspired decades of studies. Yet, an understanding of the propagation of a single stream remains elusive. Here we invoke a criterion for path selection from fracture mechanics and…

Dune fields are commonly associated with periodic patterns that are among the most recognizable landscapes on Earth and other planetary bodies. However, in zones of limited sediment supply, where periodic dunes elongate and align in the…

Structure identification in cosmological simulations plays an important role in analysing simulation outputs. The definition of these structures directly impacts the inferred properties derived from these simulations. This paper proposes a…

Astrophysics of Galaxies · Physics 2025-01-16 Robel Geda , Romain Teyssier

Studying water droplets is a rich lesson in fields of fluid dynamics, nonlinear systems, and differential equations. Understanding various physical aspects of raindrops can help us in understanding drop dynamics, rainfall density…

Fluid Dynamics · Physics 2023-10-31 Yashvir Tibrewal , Nishchal Dwivedi

Observations have long associated ice streams with the presence of meltwater at the bed. More recently, theoretical models have been able to reproduce ice-stream behaviour as a consequence of the coupled dynamics of ice and subglacial…

Geophysics · Physics 2015-12-17 T. M. Kyrke-Smith , R. F. Katz , A. C. Fowler
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