Mild solutions to the time fractional Navier-Stokes delay differential inclusions

DOI10.3934/dcdsb.2018312zbMath1423.35420OpenAlexW2899442618WikidataQ128962706 ScholiaQ128962706MaRDI QIDQ2321081

Yejuan Wang, Tongtong Liang

Publication date: 28 August 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018312

zbMATH Keywords

Navier-Stokes equationsmeasure of noncompactnessmild solutionupper semi-continuitysingular initial datafractional delay differential inclusions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (8)

Global solutions to the non-local Navier-Stokes equations ⋮ Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces ⋮ Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise ⋮ Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem ⋮ Unnamed Item ⋮ Approximate controllability for mild solution of time-fractional Navier-Stokes equations with delay ⋮ Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group ⋮ Critical and super-critical abstract parabolic equations

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