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We show existence of global strong solutions with large initial data on the irrotational part for the shallow-water system in dimension $N\geq 2$. We introduce a new notion of \textit{quasi-solutions} when the initial velocity is assumed to…

Analysis of PDEs · Mathematics 2012-01-27 Boris Haspot

This study examines whether the dispersion of passive particles at the free surface of a generic (nonturbulent) shallow flow can reliably represent the behavior of depth-keeping particles below the surface. A shallow configuration…

Fluid Dynamics · Physics 2026-02-12 Lenin M. Flores Ramírez , Matias Duran-Matute , Herman J. H. Clercx

Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant advance of the sea. These include climate change, with rising…

Numerical Analysis · Mathematics 2023-11-16 Mame Gor Ngom , Ibrahima Faye , Diaraf Seck

Earth's modern climate is characterized by wet, rainy deep tropics, however paleoclimate and planetary science have revealed a wide range of hydrological cycle regimes connected to different external parameters. Here we investigate how…

Atmospheric and Oceanic Physics · Physics 2021-04-15 Bowen Fan , Zhihong Tan , Tiffany A. Shaw , Edwin S. Kite

The calibration of a reservoir model with observed transient data of fluid pressures and rates is a key task in obtaining a predictive model of the flow and transport behaviour of the earth's subsurface. The model calibration task, commonly…

Machine Learning · Computer Science 2019-06-13 Lukas Mosser , Olivier Dubrule , Martin J. Blunt

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved…

Strongly Correlated Electrons · Physics 2024-02-14 Luca V. Delacretaz , Ruchira Mishra

The inertial subrange of turbulence in a density stratified environment is the transition from internal waves to isotropic turbulence, but it is unclear how to interpret its extension to anisotropic stratified turbulence. Knowledge about…

Atmospheric and Oceanic Physics · Physics 2019-07-31 Hans van Haren

An adjoint based technique is applied to a shallow water model in order to estimate the influence of the model's parameters on the solution. Among parameters the bottom topography, initial conditions, boundary conditions on rigid…

Atmospheric and Oceanic Physics · Physics 2011-12-19 Eugene Kazantsev

A steady shear flow can drive supercooled liquids into a non-equilibrium state. Using molecular dynamics simulations under steady shear flow superimposed with oscillatory shear strain for a probe, non-equilibrium mechanical responses are…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno , Ryoichi Yamamoto

Low-latitude rainfall variability on the daily to intraseasonal timescale is often related to tropical waves, including convectively coupled equatorial waves, the Madden-Julian Oscillation (MJO), and tropical disturbances. Despite the…

Atmospheric and Oceanic Physics · Physics 2019-02-20 Andreas Schlueter , Andreas H. Fink , Peter Knippertz , Peter Vogel

In this paper, we study the well-posedness properties of a stochastic rotating shallow water system in which the noise is chosen according to the Stochastic Advection by Lie Transport (SALT) theory. The system is perturbed by noise…

Analysis of PDEs · Mathematics 2021-07-15 Dan Crisan , Oana Lang

It was discovered several decades ago that eddy covariance measurements systematically underestimate sensible and latent heat fluxes, creating an imbalance in the surface energy budget. Since then, many studies have addressed this problem…

Atmospheric and Oceanic Physics · Physics 2022-10-12 Luise Wanner , Marc Calaf , Matthias Mauder

We study the response of a simple quasi-geostrophic barotropic model of the atmosphere to various classes of perturbations affecting its forcing and its dissipation using the formalism of the Ruelle response theory. We investigate the…

Atmospheric and Oceanic Physics · Physics 2017-04-26 Andrey Gritsun , Valerio Lucarini

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

Numerical and experimental turbulence simulations are nowadays reaching the size of the so-called big data, thus requiring refined investigative tools for appropriate statistical analyses and data mining. We present a new approach based on…

Fluid Dynamics · Physics 2017-01-05 Stefania Scarsoglio , Giovanni Iacobello , Luca Ridolfi

In this paper we use the short-wavelength instability approach to derive an instability threshold for exact trapped equatorial waves propagating eastwards in the presence of an underlying current.

Fluid Dynamics · Physics 2014-04-10 François Genoud , David Henry

We study electromagnetic streaming instabilities in thermal viscous regions of rotating astrophysical objects, such as, magnetized accretion disks, molecular clouds, their cores, and elephant trunks. The obtained results can also be applied…

Astrophysics of Galaxies · Physics 2015-05-14 Anatoly Nekrasov

Vortical flows in shallow water interact with long surface waves by virtue of the nonlinear terms of the fluid equations. Analytical formulae are derived that quantify the spontaneous generation of such waves by unsteady vorticity as well…

chao-dyn · Physics 2009-10-22 Enrique cerda , Fernando Lund

This review is a kinetic theory study investigating the effects of inelasticity on the structure of the non-equilibrium states, in particular on the behavior of the velocity distribution in the high energy tails. Starting point is the…

Statistical Mechanics · Physics 2007-05-23 R. Brito , M. H. Ernst

Extreme near-surface moist heat and severe convective storms are among the leading causes of weather-related damages worldwide. Here, we show that episodes of extreme moist heat and severe convection frequently co-occur across midlatitude…

Atmospheric and Oceanic Physics · Physics 2026-01-05 Funing Li , Talia Tamarin-Brodsky