Global well-posedness for second grade fluids

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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Mechanics and mathematics of fluids of the differential type
Reproductive solution of a second-grade fluid system
\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
Existence of regular steady motions for a second-grade fluid with nonhomogeneous boundary conditions
Anomalous features in the model of second order fluids
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains
Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
Global stability of large solutions to the 3D Navier-Stokes equations
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries
Weak and classical solutions of a family of second grade fluids
Fluids of differential type: Critical review and thermodynamic analysis
Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations
Further existence results for classical solutions of the equations of a second-grade fluid
Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions
A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
Existence and uniqueness of solutions of the equations of motion for a fluid of second grade with non-homogeneous boundary conditions
Finite Element Methods for Navier-Stokes Equations
Solutions globales variationnelles et classiques des fluides de grade deux
Asymptotic Stability for the 3D Navier–Stokes Equations

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