Energy methods for fractional Navier-Stokes equations

DOI10.1016/j.chaos.2017.03.053zbMath1374.35432OpenAlexW2604718505MaRDI QIDQ1677749

Peng Zhang

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.03.053

zbMATH Keywords

Navier-Stokes equationsapproximate solutionsenergy methodsCaputo fractional derivative

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Global solutions to the non-local Navier-Stokes equations ⋮ A subdiffusive Navier-Stokes-Voigt system ⋮ A numerical method for solving fractional delay differential equations based on the operational matrix method ⋮ On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\) ⋮ The Cauchy problem for time-fractional linear nonlocal diffusion equations ⋮ Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution ⋮ The unique existence of weak solution and the optimal control for time-fractional third grade fluid system ⋮ Galerkin method for time fractional diffusion equations ⋮ Approximate controllability for mild solution of time-fractional Navier-Stokes equations with delay

Cites Work

• Controllability for fractional evolution inclusions without compactness
• Topological properties of solution sets for partial functional evolution inclusions
• On the time-fractional Navier-Stokes equations
• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• The Navier-Stokes equations in the critical Morrey-Campanato space
• A generalization of a theorem by Kato on Navier-Stokes equations
• Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in \(\mathbb{R}^ 3\)
• On the generalized Navier-Stokes equations
• A De Giorgi-Nash type theorem for time fractional diffusion equations
• Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
• Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
• Existence of mild solutions for fractional evolution equations
• Abstract Cauchy problem for fractional functional differential equations
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Vorticity and Incompressible Flow
• Navier-Stokes Equations in Planar Domains
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Global mild solutions of Navier‐Stokes equations
• Basic Theory of Fractional Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Energy methods for fractional Navier-Stokes equations