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One of the most important subjects of debate in the formation of the solar system is the origin of Earth's water. Comets have long been considered as the most likely source of the delivery of water to Earth. However, elemental and isotopic…

Earth and Planetary Astrophysics · Physics 2015-06-12 A. Izidoro , K. de Souza Torres , O. C. Winter , N. Haghighipour

This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional model reduction methods have difficulties with these…

Numerical Analysis · Mathematics 2020-06-16 Benjamin Peherstorfer

The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consistent way from mass balance, Darcy's law, and the van der…

Analysis of PDEs · Mathematics 2016-12-14 Ansgar Jüngel , Jiří Mikyška , Nicola Zamponi

The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject to a cost for…

Optimization and Control · Mathematics 2021-04-23 Alberto Bressan , Sondre T. Galtung , Audun Reigstad , Johanna Ridder

This work aims at generating a model of the ocean surface and its dynamics from one or more video cameras. The idea is to model wave patterns from video as a first step towards a larger system of photogrammetric monitoring of marine…

Computer Vision and Pattern Recognition · Computer Science 2013-10-01 Mauro de Amorim , Ricardo Fabbri , Lucia Maria dos Santos Pinto , Francisco Duarte Moura Neto

We study the computation of the flow of water on imprecise terrains. We consider two approaches to modeling flow on a terrain: one where water flows across the surface of a polyhedral terrain in the direction of steepest descent, and one…

Computational Geometry · Computer Science 2012-09-27 Anne Driemel , Herman J. Haverkort , Maarten Löffler , Rodrigo Silveira

Plants solve complex problems without centralized control, relying instead on growth-driven dynamics to sense, navigate, and optimize resource acquisition. This review presents a unified physical framework for understanding plant behavior…

Other Condensed Matter · Physics 2026-04-24 Yasmine Meroz

A freely falling stream of weakly cohesive granular particles is modeled and analysed with help of event driven simulations and continuum hydrodynamics. The former show a breakup of the stream into droplets, whose size is measured as a…

Soft Condensed Matter · Physics 2015-06-04 Stephan Ulrich , Annette Zippelius

Learning the underlying dynamics of single cells from snapshot data has gained increasing attention in scientific and machine learning research. The destructive measurement technique and cell proliferation/death result in unpaired and…

Machine Learning · Computer Science 2025-11-11 Dongyi Wang , Yuanwei Jiang , Zhenyi Zhang , Xiang Gu , Peijie Zhou , Jian Sun

Size segregation in bedload transport is studied numerically with a coupled fluid-discrete element model. Starting from an initial deposit of small spherical particles on top of a large particle bed, the segregation dynamics of the bed is…

Banded patterns consisting of alternating bare soil and dense vegetation have been observed in water-limited ecosystems across the globe, often appearing along gently sloped terrain with the stripes aligned transverse to the elevation…

Pattern Formation and Solitons · Physics 2023-06-16 Punit Gandhi , Lucien Werner , Sarah Iams , Karna Gowda , Mary Silber

The wetting properties of solid substrates with customary (i.e., macroscopic) random roughness are considered as a function of the microscopic contact angle of the wetting liquid and its partial pressure in the surrounding gas phase.…

Soft Condensed Matter · Physics 2015-03-19 S. Herminghaus

We present a modified water-vegetation model to investigate the mechanistic relationship between infiltration-soil moisture feedback and vegetation pattern in arid/semi-arid ecosystems. Employing Turing pattern formation theory, we drive…

Dynamical Systems · Mathematics 2025-08-05 Juan Yan , Xiaoli Wang , Guohong Zhang , Yuan Yuan

Accurate predictions and representations of plant growth patterns in simulated and controlled environments are important for addressing various challenges in plant phenomics research. This review explores various works on state-of-the-art…

Quantitative Methods · Quantitative Biology 2025-07-17 Mohamed Debbagh , Shangpeng Sun , Mark Lefsrud

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, offering faster sampling and simpler training by learning continuous flows governed by ordinary differential equations. Despite growing…

Machine Learning · Computer Science 2025-12-02 Mudit Gaur , Prashant Trivedi , Shuchin Aeron , Amrit Singh Bedi , George K. Atia , Vaneet Aggarwal

To predict liquid-gas two-phase flow phenomena, accurate tracking and prediction of the evolving liquid-gas interface is required. Volume-of-Fluid or VoF method has been used in the literature for computationally modeling of such flows. In…

Fluid Dynamics · Physics 2023-01-05 Sucharitha Rajendran , Raj M Manglik , Milind A Jog

A major challenge in plant developmental biology is to understand how plant growth is coordinated by interacting hormones and genes. To meet this challenge, it is important to not only use experimental data, but also formulate a…

Applications · Statistics 2019-10-22 Samuel E. Jackson , Ian Vernon , Junli Liu , Keith Lindsey

The heterogeneous distribution of water-repellent materials at the soil surface causes a phenomenon known as fractional wettability. This condition frequently triggers destabilization of the wetting front during water infiltration,…

Soil moisture dynamics provide an indicator of soil health that scientists model via drydown curves. The typical modelling process requires the soil moisture time series to be manually separated into drydown segments and then exponential…

Applications · Statistics 2024-07-31 Mengyi Gong , Rebecca Killick , Christopher Nemeth , John Quinton