arXiv Open Access 2020

Non-uniqueness in law for two-dimensional Navier-Stokes equations with diffusion weaker than a full Laplacian

Kazuo Yamazaki

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Abstrak

We study the two-dimensional Navier-Stokes equations forced by random noise with a diffusive term generalized via a fractional Laplacian that has a positive exponent strictly less than one. Because intermittent jets are inherently three-dimensional, we instead adapt the theory of intermittent form of the two-dimensional stationary flows to the stochastic approach presented by Hofmanov$\acute{\mathrm{a}}$, Zhu $\&$ Zhu (2019, arXiv:1912.11841 [math.PR]) and prove its non-uniqueness in law.

Topik & Kata Kunci

math.AP

Penulis (1)

Kazuo Yamazaki

Format Sitasi

APA MLA BibTeX

Yamazaki, K. (2020). Non-uniqueness in law for two-dimensional Navier-Stokes equations with diffusion weaker than a full Laplacian. https://arxiv.org/abs/2008.04760

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓