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arxiv: 1705.04220 · v1 · pith:OBPLOKL7new · submitted 2017-05-11 · 🧮 math.AP · physics.flu-dyn

Weak-strong uniqueness in fluid dynamics

Emil Wiedemann This is my paper
classification 🧮 math.AP physics.flu-dyn
keywords uniquenessweak-strongequationseulerhandcompressibleconvergencedynamics
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We give a survey of recent results on weak-strong uniqueness for compressible and incompressible Euler and Navier-Stokes equations, and also make some new observations. The importance of the weak-strong uniqueness principle stems, on the one hand, from the instances of non-uniqueness for the Euler equations exhibited in the past years; and on the other hand from the question of convergence of singular limits, for which weak-strong uniqueness represents an elegant tool.

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    math.AP 2026-04 unverdicted novelty 6.0

    In subcritical and critical scalings, Navier-Stokes solutions in randomly perforated domains converge to Euler or Euler-Brinkman equations under small local Reynolds number.