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

As a framework for handling low Mach number limits we consider a notion ofmeasure-valued solution of the incompressible Euler system which explicitlyformulates the usually suppressed dependence on the pressure variable. Weclarify in which sense such a measure-valued solution is generated as a lowMach limit and state sufficient conditions for this convergence. For thespecial case of pressure-free solutions we are able to give such sufficientconditions only on the incompressible solution itself. As a necessary conditionfor low Mach limits we obtain a Jensen-type inequality. The same necessarycondition actually holds true for limits of weak solutions or vanishingviscosity limits. We illustrate that this Jensen inequality is not triviallyfulfilled. Since measure-valued solutions in the classical sense are alwaysgenerated by weak solutions, this shows that our solution concept contains moreinformation and low Mach limits lead to a partial selection criterion forincompressible solutions.

Measure-valued low Mach number limits of ideal fluids