Mild solutions to the time fractional Navier-Stokes equations in R-N

  title={Mild solutions to the time fractional Navier-Stokes equations in R-N},
  author={Paulo Mendes de Carvalho-Neto and Gabriela Planas},
  journal={Journal of Differential Equations},

On the time-fractional Navier-Stokes equations

Approximate controllability for mild solution of time-fractional Navier–Stokes equations with delay

This paper addresses some results about mild solution to time-fractional Navier–Stokes equations with bounded delay existed in the convective term and the external force. Based on the Schauder’s

Mild solutions to the Cauchy problem for time-space fractional Keller-Segel-Navier-Stokes system

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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

Dissipativity of Fractional Navier–Stokes Equations with Variable Delay

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The purpose of this work is to investigate the problem of solutions to the time‐fractional Navier‐Stokes equations with Caputo derivative operators. We obtain the existence and uniqueness of the



Large-time behavior in incompressible Navier-Stokes equations

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A generalization of a theorem by Kato on Navier-Stokes equations

We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,8);L3(R3)). More precisely, we show that if the initial data are sufficiently

Analytical Study of Navier-Stokes Equation with Fractional Orders Using He's Homotopy Perturbation and Variational Iteration Methods

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On considere les solutions faibles du probleme de Cauchy pour l'equation de Navier-Stokes sur R n , n≥2. On etablit des resultats concernant la decroissance de la L 2 -norme d'une solution faible

On Shinbrot’s conjecture for the Navier-Stokes equations

  • Kewei Zhang
  • Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1993
Marvin Shinbrot conjectured that the weak solution of the Navier-Stokes equations possess fractional derivatives in time of any order less than 1/2. In this paper, using the Hardy-Littlewood maximal