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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Hydrodynamic systems for quantum fluids are systems for compressible fluidflows for which quantum effects are macroscopically relevant. We discuss howthe presence of the dispersive tensor describing the quantum effects alters theacoustic dispersion at the example of the Quantum Hydrodynamic system (QHD).For the QHD system the dispersion relation is given by the Bogoliubovdispersion relation for weakly interacting Bose gases. We provide refinedStrichartz estimates allowing for an accurate control of acoustic oscillations.Applications to the low Mach number limit for the quantum Navier-Stokesequations and the QHD system are discussed. The dispersive analysis generalizesto some Euler- and Navier-Stokes-Korteweg systems for capillary fluids.

Analysis of acoustic oscillations for a class of hydrodynamic systems describing quantum fluids