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arXiv · 2504.21000

Well-posed Self-Similarity in Incompressible Standard Flows

J. Polihronov
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Abstract

This article reviews the properties of the self-similar solutions of the Navier-Stokes equation for incompressible fluids. Since any smooth solution can be embedded into a self-similar solution at the identity scale, it follows that under standard flow conditions, the initial solution will remain smooth for all time as long as the self-similar solution is selected to have certain isobaric weight.

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J. Polihronov. 2025-03-30. Well-posed Self-Similarity in Incompressible Standard Flows. https://arxiv.org/abs/2504.21000

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