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

The exhaustive classification of stationary incompressible flows withconstant total pressure of ideal infinitely electrically conducting fluid isgiven. By introduction of curvilinear coordinates based on streamlines andmagnetic lines of the flow the system of magnetohydrodynamics (MHD) equationsis reduced to a nonlinear vector wave equation extended by theincompressibility condition in a form of a generalized Cauchy integral. Forflows with constant total pressure the wave equation is explicitly integrated,whereas the incompressibility condition is reduced to a scalar equation forfunctions, depending on different sets of variables. The central difficulty ofthe investigation is the separation of variables in the scalar equation, andintegration of the resulting overdetermined systems of nonlinear partiallydifferential equations. The canonical representatives of all possible types ofsolutions together with equivalence transformations, that extend the canonicalset to the whole amount of solutions are represented.

Complete classification of stationary flows with constant total pressure of ideal incompressible infinitely conducting fluid