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A striking feature of the marine ecosystem is the regularity in its size spectrum: the abundance of organisms as a function of their weight approximately follows a power law over almost ten orders of magnitude. We interpret this as evidence…

Populations and Evolution · Quantitative Biology 2010-09-17 Jose A. Capitan , Gustav W. Delius

We extend the linear analysis of the drag instability in a 1D perpendicular isothermal C-shock by Gu & Chen to 2D perpendicular and oblique C-shocks in the typical environment of star-forming clouds. Simplified dispersion relations are…

Solar and Stellar Astrophysics · Physics 2021-06-21 Pin-Gao Gu

In this paper we analyze the stability of different coupling strategies for multidomain PDEs that arise in general circulation models used in climate simulations. We focus on fully coupled ocean-atmosphere models that are needed to…

Numerical Analysis · Mathematics 2019-09-18 Hong Zhang , Zhengyu Liu , Emil Constantinescu , Robert Jacob

We consider the density wave instability of fermionic dipoles aligned by an external field, and moving in equidistant layers at zero temperature. Using a conserving Hartree-Fock approximation, we show that correlations between dipoles in…

Quantum Gases · Physics 2012-10-05 J. K. Block , N. T. Zinner , G. M. Bruun

We consider a full set of harmonics for the Stokes wave in deep water in the absence of viscosity, and examine the role that higher harmonics play in modifying the classical Benjamin-Feir instability. Using a representation of the wave…

Fluid Dynamics · Physics 2017-04-26 Shahrdad G. Sajjadi , David L. Ross

The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

The stochastics two-layer quasi-geostrophic flow model is an intermediate system between the single-layer two dimensional barotropic flow model and the continuously stratified three dimensional baroclinic flow model. This model is widely…

Dynamical Systems · Mathematics 2008-10-17 Aijun Du , Jinqiao Duan , Hongjun Gao

Aims. We aim to determine how ion neutral coupling and ambipolar diffusion affect the linear and the nonlinear growth of the RTinstability under astrophysically relevant conditions, and to identify the coupling regimes in which departures…

Astrophysics of Galaxies · Physics 2026-03-12 E. Callies , Z. Meliani , A. Marcowith , V. Guillet

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

The Alber equation is a phase-averaged second-moment model for the statistics of a sea state, which recently has been attracting renewed attention. We extend it in two ways: firstly, we derive a generalized Alber system starting from a…

Analysis of PDEs · Mathematics 2021-07-29 Agissilaos Athanassoulis , Odin Gramstad

In this paper, we explore optimal disturbances of blockings in the equivalent barotropic atmosphere using the conditional nonlinear optimal perturbation (CNOP) approach. Considering the initial blocking amplitude, the optimal disturbance…

Atmospheric and Oceanic Physics · Physics 2023-10-17 Bin Shi , Dehai Luo , Wenqi Zhang

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered…

Strongly Correlated Electrons · Physics 2020-09-30 Trithep Devakul , S. L. Sondhi , S. A. Kivelson , Erez Berg

The energy pathways from propagating internal waves to the scales of irreversible mixing in the ocean are not fully described. In the ocean interior, the triadic resonant instability is an intrinsic destabilization process that may enhance…

Fluid Dynamics · Physics 2021-02-10 Yvan Dossmann , Florence Pollet , Philippe Odier , Thierry Dauxois

I consider the problem of weakly nonlinear stability of three-dimensional convective magnetohydrodynamic systems, where there is no alpha-effect or it is insignificant, to perturbations involving large scales. I assume that the convective…

Chaotic Dynamics · Physics 2008-11-01 V. Zheligovsky

The baroclinic instability problem is considered in the framework of Laplacian tidal theory. The Hilbert space of the quasigeostrophic vorticity budget is spanned by spheroidal functions. The fluid is linearly stable against…

Fluid Dynamics · Physics 2007-05-23 Detlev Mueller

We derive a theoretical model for the Rayleigh-Taylor (RT)-like instability for a thin foil accelerated by an intense laser, taking into account finite wavelength effects in the laser wave field. The latter leads to the diffraction of the…

Space Physics · Physics 2015-06-22 Bengt Eliasson

We investigate the linear stability of a flat interface that separates a liquid layer from a fully-developed turbulent gas flow. In this context, linear-stability analysis involves the study of the dynamics of a small-amplitude wave on the…

Fluid Dynamics · Physics 2009-08-13 L. Ó Náraigh , P. Spelt , O. Matar , T. Zaki

The linear stability parameter delta is commonly used as a figure of merit for the nonlinear dynamics of the tearing mode. It is shown, through state of the art numerical simulations, that factors other than delta can play a very important…

Plasma Physics · Physics 2015-06-19 F. Militello , D. Grasso , D. Borgogno

We consider the stability of warping modes in Keplerian discs. We find them to be parametrically unstable using two lines of attack, one based on three-mode couplings and the other on Floquet theory. We confirm the existence of the…

Astrophysics · Physics 2009-10-31 Charles F. Gammie , Jeremy Goodman , Gordon I. Ogilvie

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov