English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Interaction of spiral density waves with stars in the vicinity of the innerLindblad resonance in galactic discs is investigated using the linearperturbation theory and the leading orders in the epicyclic and WKBapproximations. In analogy with shear flows in hydrodynamics, we conjecturethat a weak nonlinearity in a narrow resonance region modifies the standard(Landau-Lin) bypass rule of the singularity to the integration in the principalvalue sense. This indeed leads to the reflection of the spiral wave instead ofabsorption, but the detailed picture looks awkward: the intervals of the waveweakening alternate with the intervals of the wave growth, so that the netabsorption is absent. Incidentally, we rectify the result concerning leadingspiral waves obtained earlier for the standard bypass rule.

Effect of Inner Lindblad Resonance on Spiral Density Waves Propagation in Disc Galaxies: Reflection over Absorption