On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations

DOI10.1016/j.camwa.2016.12.023zbMath1372.35230OpenAlexW2581595001MaRDI QIDQ2013453

Pham Thi Trang, Cung The Anh

Publication date: 18 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.023

zbMATH Keywords

convergenceSobolev regularityGevrey regularityNavier-Stokes-Voigt equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Analyticity in context of PDEs (35A20) Strong solutions to PDEs (35D35)

Related Items

Feedback control of Navier-Stokes-Voigt equations by finite determining parameters, On the number of determining volume elements for 3D Navier-Stokes-Voigt equations, Decay characterization of the solutions to the Navier–Stokes–Voigt equations with damping, Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations, Unnamed Item, Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces, Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay, Regularity of uniform attractor for 3D non-autonomous Navier-Stokes-Voigt equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\)
• Decay rate of solutions to 3D Navier-Stokes-Voigt equations in \(H^m\) spaces
• Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization
• Analyticity and gevrey-class regularity for the second-grade fluid equations
• Averaging of a 3D Navier-Stokes-Voight equation with singularly oscillating forces
• Gevrey regularity for a class of dissipative equations with applications to decay
• Analysis of a general family of regularized Navier-Stokes and MHD models
• On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
• Analyticity of solutions for a generalized Euler equation
• Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• Singular limits of Voigt models in fluid dynamics
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• Partial differential equations. 4th ed
• On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Gevrey regularity for the supercritical quasi-geostrophic equation
• Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
• Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
• The Navier-Stokes-Voight model for image inpainting
• Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
• On the radius of analyticity of solutions to the three-dimensional Euler equations
• A remark on the characterization of the gradient of a distribution
• Editorial board
• Dissipativity and Gevrey regularity of a Smoluchowski equation
• Sobolev and Gevrey regularity results for the primitive equations in three space dimensions