Pointwise Spatial Decay of Weak Solutions to the Navier–Stokes System in 3D Exterior Domains

Autor: Paul Deuring
Rok vydání: 2015
Předmět:
Zdroj: Journal of Mathematical Fluid Mechanics. 17:199-232
ISSN: 1422-6952
1422-6928
DOI: 10.1007/s00021-014-0198-x
Popis: We consider L 2-weak solutions to the Navier–Stokes system in a 3D exterior domain. Under the assumptions that the initial data decrease as $${O( |x|^{-\mu})}$$ when $${|x| \to \infty}$$ , for some $${\mu \geq 7/6}$$ , and that the volume force decays sufficiently fast, we show that the velocity decreases pointwise with the rate $${O(\, |x|^{-\min\{\mu ,13/5\}})}$$ for $${|x| \to \infty}$$ , uniformly with respect to time.
Databáze: OpenAIRE
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