A subdiffusive Navier-Stokes-Voigt system

DOI10.1016/j.physd.2020.132503OpenAlexW3016774667MaRDI QIDQ2125602

Nataliya Vasylyeva, Sergii V. Siryk, Vittorino Pata, Mykola Valeriiovych Krasnoschok

Publication date: 14 April 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132503

zbMATH Keywords

strong solutionsRiemann-Liouville derivativefractional generalized second grade fluidsubdiffusive Navier-Stokes-Voigt equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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Cites Work

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• The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
• An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
• Unsteady MHD Couette flow of a generalized Oldroyd-B fluid with fractional derivative
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
• Peristaltic transport of fractional Maxwell fluids in uniform tubes: applications in endoscopy
• General periodic flows of fractional Oldroyd-B fluid for an edge
• The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
• A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
• Singular limits of Voigt models in fluid dynamics
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving frontier problems of physics: the decomposition method
• Solvability of linear boundary value problems for subdiffusion equations with memory
• Energy methods for fractional Navier-Stokes equations
• Semilinear subdiffusion with memory in the one-dimensional case
• Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
• New ideas for proving convergence of decomposition methods
• On the regularity of solutions to the Navier-Stokes equations
• Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing
• Fractional rheological models for thermomechanical systems. Dissipation and free energies
• Subordination principle for a class of fractional order differential equations
• Mechanical stress relaxation in polymers: Fractional integral model versus fractional differential model
• Lyapunov functions and convergence to steady state for differential equations of fractional order
• Linear and quasilinear elliptic equations
• Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
• An Approximate Solution for the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative Model Using the Adomian Decomposition Method
• REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
• The Three-Dimensional Navier–Stokes Equations
• Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Sharpness in Young’s inequality for convolution
• On the Fractional Calculus Model of Viscoelastic Behavior
• Semilinear subdiffusion with memory in multidimensional domains
• Peristaltic transport of viscoelastic bio-fluids with fractional derivative models