(S)-convergence and approximation of oscillatory solutions in fluid dynamics

Eduard Feireisl

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arXiv · 2006.07651

(S)-convergence and approximation of oscillatory solutions in fluid dynamics

Eduard Feireisl

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Abstract

We propose a new concept of (S)-convergence applicable to numerical methods as well as other consistent approximations of the Euler system in gas dynamics. (S)-convergence, based on averaging in the spirit of Strong Law of Large Numbers, reflects the asymptotic properties of a given approximate sequence better than the standard description via Young measures. Similarity with the tools of ergodic theory is discussed.

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Eduard Feireisl. 2020-06-13. (S)-convergence and approximation of oscillatory solutions in fluid dynamics. https://arxiv.org/abs/2006.07651

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