The Cauchy problem for fractional Navier–Stokes equations in Sobolev spaces

Li Peng, Yong Zhou, Bashir Ahmad and Ahmed Alsaedi

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 218-228

Abstract: In this paper we use the tools from harmonic analysis to study the Cauchy problem for Navier–Stokes equations with time-fractional derivative of order α ∈ (0, 1), which can be used to simulate the anomalous diffusion in fractal media. Two main results concerning the local existence of solutions for the given problem in Sobolev space are addressed.

Keywords: Navier–Stokes equations; Caputo fractional derivative; Cauchy problem; Sobolev space; Existence (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:218-228

DOI: 10.1016/j.chaos.2017.02.011

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