Well-posedness of the generalized Navier-Stokes equations with damping

DOI10.1016/j.aml.2021.107471zbMath1489.35186OpenAlexW3173504108MaRDI QIDQ2235049

Chengfeng Sun, Hui Liu, Lin Lin

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107471

zbMATH Keywords

Navier-Stokes equationsdampingwell-posedness

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (4)

Well-posedness of the 3D Boussinesq-MHD equations with partial viscosity and damping ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Global well-posedness for the 3-D generalized MHD equations ⋮ Global well-posedness for the three-dimensional Navier-Stokes-Maxwell system with damping

Cites Work

• Global well-posedness for 3D generalized Navier-Stokes-Boussinesq equations
• Decay of solutions for the 3D Navier-Stokes equations with damping
• The generalized incompressible Navier-Stokes equations in Besov spaces
• Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Global existence of strong solution to the 3D micropolar equations with a damping term
• Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping
• Global well-posedness of the 3D magneto-micropolar equations with damping
• Well-posedness for the generalized Navier-Stokes-Landau-Lifshitz equations
• Well-posedness for the hyperviscous magneto-micropolar equations
• Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise
• Global well-posedness of a 3D MHD model in porous media
• Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion
• Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model

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