Dissipative nonlinear waves in a gravitating quantum fluid

Nonlinear stationary vortices in gravitating fluid

The problem of nonlinear self-organization of perturbations in differentially rotating, nonuniform, gravitating systems is studied. Two types of stationary nonlinear solutions, in the form of tripolar vortices and vortex chains of gravitational potential and density, dependent on the spatial profiles of the basic state quantities, are found. They propagate with a constant velocity perpendicular...

Can Nonlinear Hydromagnetic Waves Support a Self-Gravitating Cloud?

Using self-consistent magnetohydrodynamic (MHD) simulations, we explore the hypothesis that nonlinear MHD waves dominate the internal dynamics of galactic molecular clouds. Our models employ an isothermal equation of state and allow for self-gravity. We adopt “slab-symmetry,” which permits motions v⊥ and fields B⊥ perpendicular to the mean field, but permits gradients only parallel to the mean ...

On Nonlinear Water Waves in a Channel

Four-wave mixing excitations in a dissipative polariton quantum fluid

V. Kohnle,1 Y. Léger,1,2,* M. Wouters,3 M. Richard,4 M. T. Portella-Oberli,1 and B. Deveaud1 1Institute of Condensed Matter Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland 2FOTON Laboratory, Université Européenne de Bretagne, CNRS-INSA-UR1, F-35708 Rennes, France 3TQC, University of Antwerp, Universiteislpein 1, 2610 Antwerpen, Belgium 4Nano-Physics and Semicond...

Nonlinear dissipative spherical Alfvén waves in solar coronal holes

The weakly nonlinear dynamics of linearly polarized, spherical Alfvén waves in coronal holes is investigated. An evolutionary equation, combining the effects of spherical stratification, nonlinear steepening and dissipation due to shear viscosity is derived. The equation is a spherical analog of the scalar Cohen–Kulsrud–Burgers equation. Three main stages of the wave evolution are distinguished...