regularity criterion
A note on regularity criterion for 3D compressible nematic liquid crystal flows
... A note on regularity criterion for 3D compressible nematic liquid crystal flows Xiaochun Chen1* and Jishan Fan2 * Correspondence: [email protected] 1 College of Mathematics and Sta[r] ...
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A magnetic regularity criterion for the 2D MHD equations with velocity dissipation
... magnetic regularity criterion in terms of the magnetic ...magnetic regularity criterion ∇ b ∈ L 1 (0, T;BMO( R 2 )), our regularity ...
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On the regularity criterion for the 3D generalized MHD equations in Besov spaces
... a regularity criterion of the solution for the generalized MHD equations in terms of the summation of the velocity field u and the magnetic field b by means of the Littlewood-Paley theory and the Bony ...
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An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces
... pressure regularity cri- teria of the classic Navier-Stokes equations [–] and related fluid models [, ...pressure regularity criterion of the Navier-Stokes equations in the homogeneous Besov ...
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
... global regularity of smooth solution of the D Boussinesq equations with the frac- tional dissipation has been researched recently in ...type regularity criterion have been obtained in ...
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A regularity criterion for the Cahn Hilliard Boussinesq system with zero viscosity
... A regularity criterion for the Cahn-Hilliard-Boussinesq system with zero viscosity Caochuan Ma1 , Faris Saeed Alzahrani2 , Tasawar Hayat3,2 and Yong Zhou4,2* * Correspondence: yzhou@mail[r] ...
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Regularity Criterion for Weak Solutions to the Navier Stokes Equations in Terms of the Gradient of the Pressure
... Zhang, “Regularity criterion via the pressure on weak solutions to the 3D NavierStokes equations,” Proceedings of the American Mathematical Society, vol.. Ni, “On regularity criteria for[r] ...
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Interior regularity criterion for incompressible Ericksen-Leslie system
... interior regularity criterion of suitable weak solutions is formulated for the Ericksen-Leslie system of liquid ...a criterion is point-wise, with respect to some appropriate norm of velocity u and ...
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A regularity criterion for the Keller-Segel-Euler system
... We consider the D Keller-Segel-Euler system in a bounded domain. It is a challenging open problem whether the local solution exists globally. Here, a regularity criterion in terms of the vorticity and ...
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A regularity criterion for the generalized Hall-MHD system
... The applications of Hall-MHD system cover a very wide range of physical objects, such as magnetic reconnection in space plasmas, star formation, neutron stars, and the geo- dynamo. In this paper, we obtained a new ...
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A Regularity Criterion for the Nematic Liquid Crystal Flows
... Remark 1.2. Equation 1.5 can be regarded as a logarithmically improved regularity criterion of the form ∇u ∈ L r 0, T ; L p R 3 with 2/r 3/p 2. Condition 1.5 only involves the velocity field u, which plays ...
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Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations
... established regularity criteria of weak solutions to the three-dimensional micropolar fluid ...the regularity and uniqueness of weak solutions to the micropolar fluid ...on regularity criteria, see ...
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On the regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative
... If we ignore the magnetic filed, i.e., b = , equations (.) reduce to the micropolar fluid equations. The theory of micropolar fluid has attracted more and more scholars’ attention in recent years. In particular, Dong, ...
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Note on Prodi Serrin Ladyzhenskaya type regularity criteria for the Navier Stokes equations
... Remarks on regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.. Solutions for semilinear parabolic equations in Lp and regula[r] ...
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Existence of solutions to path-dependent kinetic equations and related forward-backward systems
... The rest of the paper is organised as follows. In Section 2 our main results are formulated and in Section 3 they are proved. Section 4 yields some regularity results for the solutions of kinetic equations leading ...
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Semantic categorization of content and process concepts relevant to computer science education
... Cluster PW2(±H±T). This cluster comprises process concepts (finding cause-and-effect relationships, creating and inventing, categorizing, transferring) whose scores on the horizontal criterion and on the ...
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Double sequence spaces over n normed spaces defined by a sequence of Orlicz functions
... almost regularity and almost strong regularity of matrices for double se- quences and applied these matrices to establish core theorems and introduced the M-core for double sequences and determined those ...
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Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
... of regularity and uniqueness of such a given weak solution re- mains a challenging open ...the regularity of the weak ...in regularity criteria involving only partial components of the velocity u, ...
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Energy based Design as an Alternative Intuitive Criterion to the Drift Criterion
... Earthquake-resistant design philosophy anticipates that the structures to be designed has to resist low level earthquakes with no damage, medium level earthquakes with light damage levels for non-structural elements and ...
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On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
... for more background material and references. We note that Benson’s definition of regularity uses the ring T instead of T ev , but the two definitions are equivalent. This can be seen by noting that [18, ...
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