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Weak-strong uniqueness in fluid dynamics

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arxiv 1705.04220 v1 pith:OBPLOKL7 submitted 2017-05-11 math.AP physics.flu-dyn

Emil Wiedemann This is my paper · ORCID
classification math.APphysics.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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  1. Weak-strong uniqueness for the Landau equation by a relative entropy method

    math.AP 2025-05 accept novelty 7.0 of 10

    For the Landau equation with soft potentials (including Coulomb), this paper proves that all H-solutions with enough moments coincide with the smooth solution, via a relative entropy estimate.

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