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A consistent and conservative Phase-Field method, including both the model and scheme, is developed for multiphase flows with an arbitrary number of immiscible and incompressible fluid phases. The consistency of mass conservation and the…

Computational Physics · Physics 2022-02-15 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

In this work we employ various methods of analysis (unfolding simulations and comparative analysis of structures and sequences of proteomes of thermophilic organisms) to show that organisms can follow two major strategies of thermophilic…

Biomolecules · Quantitative Biology 2007-05-23 Igor N. Berezovsky , Eugene I. Shakhnovich

The low frequency variability of the extratropical atmosphere involves hemispheric-scale recurring, often persistent, states known as teleconnection patterns or regimes, which can have profound impact on predictability on intra-seasonal and…

Atmospheric and Oceanic Physics · Physics 2024-01-31 Dmitry Mukhin , Abdel Hannachi , Tobias Braun , Norbert Marwan

This study presents the continuation of the analysis of variations of atmospheric and space weather parameters above Iberian Peninsula along two years near the 24th solar cycle maximum presented in Morozova et al. [2016]. Previously, the…

Atmospheric and Oceanic Physics · Physics 2020-06-14 Anna L. Morozova , Paulo Ribeiro , Juan Jose Blanco , Tatiana V. Barlyaeva

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

Analysis of PDEs · Mathematics 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

A dynamical theory of geophysical precipitation pattern formation is presented and applied to irreversible calcium carbonate (travertine) deposition. Specific systems studied here are the terraces and domes observed at geothermal hot…

Pattern Formation and Solitons · Physics 2007-08-23 Pak Yuen Chan , Nigel Goldenfeld

Max-stable processes are natural models for spatial extremes because they provide suitable asymptotic approximations to the distribution of maxima of random fields. In the recent past, several parametric families of stationary max-stable…

Methodology · Statistics 2016-02-22 Raphael Huser , Marc G. Genton

A new lattice Boltzmann model for multicomponent ideal gas mixtures is presented. The model development consists of two parts. First, a new kinetic model for Stefan- Maxwell diffusion amongst the species is proposed and realized as a…

Fluid Dynamics · Physics 2020-12-23 N. Sawant , B. Dorschner , I. V. Karlin

Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential equations (PDEs), these emergent patterns sometimes appear as local minimisers of a…

Analysis of PDEs · Mathematics 2022-10-05 Valeria Giunta , Thomas Hillen , Mark A. Lewis , Jonathan R. Potts

Three structural populations with distinct average mobility are identified within an equilibrium two-dimensional Lennard-Jones fluid simulated via molecular dynamics at a constant temperature and varying density. Quantifying the structure…

Soft Condensed Matter · Physics 2018-02-05 Tamoghna Das , Jack F. Douglas

Aircraft trajectory prediction requires the determination of the atmospheric properties (pressure, temperature, and density) encountered by the aircraft during its flight. This is accomplished by employing a tabulated prediction published…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Eduardo Gallo

Targeting a cone with the half-angle as 10-deg at M = 27 and H = 72 km, simulations were conducted comparatively to analyze the predictions by different equilibrium and non-equilibrium gas models. Following validation and grid studies,…

Fluid Dynamics · Physics 2026-01-16 Mengyu Wang , Pan Yan , Qin Li , Zhenfeng Wang , Xiaoming Guo , Yuanchun Liu

We derive a thermodynamically consistent model, which describes the time evolution of a two-phase flow in an evolving domain. The movement of the free boundary of the domain is driven by the velocity field of the mixture in the bulk, which…

Analysis of PDEs · Mathematics 2026-04-29 Patrik Knopf , Yadong Liu

We argue that an arbitrary general relativistic static anisotropic fluid sphere, (static and spherically symmetric but with transverse pressure not equal to radial pressure), can nevertheless be successfully mimicked by suitable linear…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Petarpa Boonserm , Tritos Ngampitipan , Matt Visser

We introduce a family of lattice-gas models of flocking, whose thermodynamically consistent dynamics admits a proper equilibrium limit at vanishing self-propulsion. These models are amenable to an exact coarse-graining which allows us to…

Statistical Mechanics · Physics 2024-09-27 Tal Agranov , Robert L. Jack , Michael E. Cates , Étienne Fodor

Exact solutions of a family of Heisenberg-Ising spin-lattice models for a coupled barotropic flow - massive rotating sphere system under microcanonical constraint on relative enstrophy is obtained by the method of spherical constraint.…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Chjan C. Lim

We propose a kinetic framework for single-component non-ideal isothermal flows. Starting from a kinetic model for a non-ideal fluid, we show that under conventional scaling the Navier-Stokes equations with a non-ideal equation of state are…

Fluid Dynamics · Physics 2022-12-14 S. A. Hosseini , B. Dorschner , I. V. Karlin

Neutral exospheres of the Moon, Mercury, and several other solar system bodies consist of particles on ballistic trajectories. Here, the vertical density profile of a surface-bounded exosphere is calculated using thermodynamic averages of…

Earth and Planetary Astrophysics · Physics 2020-04-21 Norbert Schorghofer

An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

Statistical Mechanics · Physics 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

Turing patterns are stationary, wave-like structures that emerge from the nonequilibrium assembly of reactive and diffusive components. While they are foundational in biophysics, their classical formulation relies on a single characteristic…

Soft Condensed Matter · Physics 2026-01-30 Siamak Mirfendereski , Ankur Gupta
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