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

We investigate a micro-scale model of superfluidity derived by Pitaevskii in1959 to describe the interacting dynamics between the superfluid and normalfluid phases of Helium-4. The model involves the nonlinear Schr\"odingerequation (NLS) and the Navier-Stokes equations (NSE), coupled to each other viaa bidirectional nonlinear relaxation mechanism. Depending on the nature of thenonlinearity in the NLS, we prove global/almost global existence of solutionsto this system in $\mathbb{T}^2$ -- strong in wavefunction and velocity, andweak in density.

Small-data global existence of solutions for the Pitaevskii model of superfluidity