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The heat engine model of tropical cyclones describes a thermally direct overturning circulation. Outflowing air slowly subsides as radiative cooling to space balances adiabatic warming, a process that does not consume any work. However, we…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Morgan E O'Neill , Daniel R. Chavas

Originally introduced to describe a transition region in stars, the magnetic rotating shallow water (MRSW) model is now used in many solar physics and geophysical applications. Derived from the 3-D incompressible magnetohydrodynamic system,…

Numerical Analysis · Mathematics 2025-12-01 Julian Koellermeier , Michael Redle , Manuel Torrilhon

We establish a shallow water model for flows of electrically conducting fluids in homogeneous static magnetic fields that are confined between two parallel planes where turbulent Hartmann layers are present. This is achieved by modelling…

Fluid Dynamics · Physics 2020-06-09 Alban Pothérat , Jean-Philippe Schweitzer

Water movement in unsaturated soils gives rise to measurable electrical potential differences that are related to the flow direction and volumetric fluxes, as well as to the soil properties themselves. Laboratory and field data suggest that…

Geophysics · Physics 2012-09-28 Damien Jougnot , Niklas Linde , A. Revil , Claude Doussan

We consider the problem of incompressible, forced, nonhelical, homogeneous and isotropic MHD turbulence with no mean magnetic field and large magnetic Prandtl number. This type of MHD turbulence is the end state of the turbulent dynamo,…

Drops deposited on rough and hydrophobic surfaces can stay suspended with gas pockets underneath the liquid, then showing very low hydrodynamic resistance. When this superhydrophobic state breaks down, the subsequent wetting process can…

Fluid Dynamics · Physics 2009-11-13 C. Pirat , M. Sbragaglia , A. M. Peters , B. M. Borkent , R. G. H. Lammertink , M. Wessling , D. Lohse

Linear waves in bounded inviscid fluids do not generally form normal modes with regular eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a spherical annulus, and internal gravity waves in a stratified…

Astrophysics · Physics 2016-08-30 Gordon I. Ogilvie

The polar regions of Jupiter host a myriad of dynamically interesting phenomena including vortex configurations, folded-filamentary regions (FFRs), and chaotic flows. Juno observations have provided unprecedented views of the high…

Earth and Planetary Astrophysics · Physics 2022-06-20 Ali Hyder , Wladimir Lyra , Nancy Chanover , Raúl Morales-Juberías , Jason Jackiewicz

In theoretical models of tropical dynamics, the effects of both surface friction and upward wave radiation through interaction with the stratosphere are oft-ignored, as they greatly complicate mathematical analysis. In this study, we relax…

Atmospheric and Oceanic Physics · Physics 2022-03-30 Jonathan Lin , Kerry Emanuel

In this paper, we consider a nonlinear interaction system between the barotropic mode and the first baroclinic mode of the tropical atmosphere with moisture; that was derived in [Frierson, D.M.W.; Majda, A.J.; Pauluis, O.M.: Dynamics of…

Analysis of PDEs · Mathematics 2016-08-24 Jinkai Li , Edriss S. Titi

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

Extreme space weather events on Earth occur during intervals of strong solar wind driving. The solar wind drives plasma convection and currents in the near-Earth space environment. For low values of the driver, the Earth's response is…

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of…

Fluid Dynamics · Physics 2009-11-10 Jose Gaite , David Hochberg , Carmen Molina-Paris

Shallow flows are common in natural and human-made environments. Even for simple rectangular shallow reservoirs, recent laboratory experiments show that the developing flow fields are particularly complex, involving large-scale turbulent…

Fluid Dynamics · Physics 2023-07-13 Daniel Valero , Daniel B. Bung , Sebastien Erpicum , Yann Peltier , Benjamin Dewals

Transport phenomena in porous media are commonplace in our daily lives. Examples and applications include heat and moisture transport in soils, baking and drying of food stuffs, curing of cement, and evaporation of fuels in wild fires. Of…

Chemical Physics · Physics 2013-05-13 Eric Sullivan

Ocean submesoscales, flows with characteristic size around 10 m - 10 km, are transitional between the larger, rotationally-constrained mesoscale and three-dimensional turbulence. In this paper we present simulations of a submesoscale ocean…

Fluid Dynamics · Physics 2025-07-23 Erin Atkinson , James McWilliams , Nicolas Grisouard

The surface layers of the Sun are strongly stratified. In the presence of turbulence with a weak mean magnetic field, a large-scale instability resulting in the formation of non-uniform magnetic structures, can be excited over the scale of…

Solar and Stellar Astrophysics · Physics 2015-12-16 Illa R. Losada , A. Brandenburg , N. Kleeorin , Dhrubaditya Mitra , I. Rogachevskii

We perform molecular dynamics simulations using the extended simple point charge SPC/E water model in order to investigate the dynamical behavior of supercooled-stretched water. We focus on the behavior of the translational diffusion…

Statistical Mechanics · Physics 2007-05-23 P. A. Netz , F. Starr , M. C. Barbosa , H. Eugene Stanley

Pristine coastal shallow systems are usually dominated by extensive meadows of seagrass species, which are assumed to take advantage of nutrient supply from sediment. An increasing nutrient input is thought to favour phytoplankton,…

Populations and Evolution · Quantitative Biology 2009-11-04 J. M. Zaldivar , F. S. Bacelar , S. Dueri , D. Marinov , P. Viaroli , E. Hernandez-Garcia , .