Abstract
Navier–Stokes (NS) equation, in fluid mechanics, is a partial differential equation that describes the flow of incompressible fluids. We study the fractional derivative by using fractional differential equation by using a mild solution. In this work, anomaly diffusion in fractal media is simulated using the Navier–Stokes equations (NSEs) with time-fractional derivatives of order β∈(0,1). In Hγ,℘, we prove the existence and uniqueness of local and global mild solutions by using fuzzy techniques. Meanwhile, we provide a local moderate solution in Banach space. We further show that classical solutions to such equations exist and are regular in Banach space.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference36 articles.
1. Ondelettes. Paraproduits et Navier–Stokes;Cannone,1995
2. The Stokes Equations;Varnhorn,1994
3. Recent Developments in the Navier–Stokes Problem;Lemarié-Rieusset,2002
4. The equations of Navier–Stokes and abstract parabolic equations;Von Wahl;Bull. Am. Math. Soc.,1988
5. Weak solutions of the stationary Navier–Stokes equations for a viscous incompressible fluid past an obstacle
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献