Search
Search Results
-
A note on the regularity criterion of the Boussinesq equations with zero heat conductivity
This note provides a new simple proof of a result obtained in 2009 by Fan and Ozawa on the regularity criterion for a 3D Boussinesq equations with...
-
Regularity Criterion for 3D Shear-Thinning Fluids via One Component of Velocity
In this work, we investigate the regularity of a weak solution to a model for unsteady motion of an incompressible non-Newtonian fluid. Our main...
-
Local Well-Posedness and Regularity Criterion for the 3D Density-Dependent Incompressible Maxwell–Navier–Stokes System
In this paper, we prove the local well-posedness and regularity criterion of strong solutions to the 3D density-dependent incompressible...
-
PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth
Perron’s method and Wiener’s criterion, the Dirichlet problem associated with the Laplacian equation was entirely solved. Since then, these ideas...
-
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System
In this paper, we consider the analysis of a nudging based algorithm for data assimilation for the three-dimensional Boussinesq system, which we call...
-
On a Single-Component Regularity Criterion for the Non-resistive Axially Symmetric Hall-MHD System
A one-component regularity criterion for the non-resistive axially symmetric Hall-MHD system is given in this paper. More precisely, we show that...
-
Remark on Regularity Criterion Via Pressure in Anisotropic Lebesgue Spaces to the 3d Navier–Stokes Equations
In this remark, we consider regularity criterion for weak solutions to the 3d incompressible Navier–Stokes equations via pressure. It is proved that...
-
Mesh Regularity
Why are tetrahedra so suitable to serve as finite elements in our mesh? Because they are flexible: can take all sorts of shapes and sizes. This is...
-
Logarithmically improved regularity criterion for the 3D Hall-MHD equations
In this work, we study the blow-up criterion of the smooth solutions of three-dimensional incompressible Hall-magnetohydrohynamics equations (in...
-
Partial regularity and nonlinear potential estimates for Stokes systems with super-quadratic growth
This paper builds a bridge between partial regularity theory and nonlinear potential theory for the following generalized stationary Stokes system...
-
Metric Regularity for Set-Valued Maps in Fréchet-Montel Spaces. Implicit Map** Theorem
This paper is devoted to new derivative criterion of metric regularity for set-valued map from a Fréchet-Montel space to a Fréchet space. Such type...
-
Regularity Criterion for a Two Dimensional Carreau Fluid Flow
Carreau fluids are a source of research from both theoretical and applied approaches. They have been considered to model different non-newtonian...
-
On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains
The viscous dissipation limit of weak solutions is considered for the Navier-Stokes equations of compressible isentropic flows confined in a bounded...
-
Maximal Regularity
In this chapter, we address the issue of maximal regularity. More precisely, we provide a criterion on the ‘structure’ of the evolutionary equation...
-
Eigenvalue Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations
In this paper, we consider several improved regularity criteria to the 3D micropolar fluid equations. In particular, we prove regularity criteria...
-
Regularity Criterion for a Nonhomogeneous Incompressible Ginzburg-Landau-Navier-Stokes System
We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in ℝ 3 . It is proved...
-
Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity
This paper studies the global regularity of 2D incompressible anisotropic magneto-micropolar fluid equations with partial viscosity. Ma [22] (Ma L....