Journal Article

Non-exponential hydrodynamical growth in density-stratified thin Keplerian discs

Yu. M. Shtemler, M. Mond, G. Rüdiger, O. Regev and O. M. Umurhan

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 406, issue 1, pages 517-528
Published in print July 2010 | ISSN: 0035-8711
Published online July 2010 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.16681.x
Non-exponential hydrodynamical growth in density-stratified thin Keplerian discs

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The short time evolution of three-dimensional small perturbations is studied. Exhibiting spectral asymptotic stability, thin discs are none the less shown to host intensive hydrodynamical activity in the shape of non-modal growth of initial small perturbations. Two mechanisms that lead to such behaviour are identified and studied, namely, non-resonant excitation of vertically confined sound waves by stable planar inertia-coriolis modes that results in linear growth with time, as well as resonant coupling of those two modes that leads to a quadratic growth of the initial perturbations. It is further speculated that the non-modal growth can give rise to secondary stratorotational instabilities and thus lead to a new route to turbulence generation in thin discs.

Keywords: accretion, accretion discs; plasmas; protoplanetary discs; hydrodynamics; instabilities

Journal Article.  6470 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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