Extension criterion to the 3D Navier-Stokes-Cahn-Hilliard equations
From MaRDI portal
Publication:6202038
DOI10.1007/s40840-024-01653-zOpenAlexW4391375623MaRDI QIDQ6202038
Publication date: 21 February 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-024-01653-z
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Estimates of eigenvalues in context of PDEs (35P15) A priori estimates in context of PDEs (35B45) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity criteria for the Navier-Stokes equations based on one component of velocity
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- On the interior regularity of weak solutions of the Navier-Stokes equations
- The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
- Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
- On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- The role of BKM-type theorems in \(3D\) Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis
- Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\)
- Attractors for the Navier-Stokes-Cahn-Hilliard system
- Global well-posedness and \(L^2\) decay estimate of smooth solutions for 3-D incompressible two-phase flows
- Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
- A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor
- On the order of the trigonometric diameter of the anisotropic Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces
- \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\)
- Un teorema di unicita per le equazioni di Navier-Stokes
- Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
- A new regularity criterion for weak solutions to the Navier-Stokes equations
- On the critical one component regularity for 3-D Navier-Stokes system
- Strong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow
- On the regularity of the solutions of the Navier–Stokes equations via one velocity component
- Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor
- Navier–Stokes–Cahn–Hilliard system of equations
