Energy methods for fractional Navier–Stokes equations

Yong Zhou, Li Peng, Bashir Ahmad and Ahmed Alsaedi

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 78-85

Abstract: In this paper we make use of energy methods to study the Navier–Stokes equations with time-fractional derivative. Such equations can be used to simulate anomalous diffusion in fractal media. In the first step, we construct a regularized equation by using a smoothing process to transform unbounded differential operators into bounded operators and then obtain the approximate solutions. The second part describes a procedure to take a limit in the approximation program to present a global solution to the objective equation.

Keywords: Navier-Stokes equations; Caputo fractional derivative; Energy methods; Approximate solutions (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:78-85

DOI: 10.1016/j.chaos.2017.03.053

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