Yan Jia
Anhui University
23 Papers
40 Citations
Yan Jia is an academic researcher from Anhui University. The author has contributed to research in topics: Weak solution & Besov space. The author has an hindex of 6, co-authored 20 publications. Previous affiliations of Yan Jia include Shenzhen University.
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Papers
Global Regularity and Time Decay for the 2D Magnetohydrodynamic Equations with Fractional Dissipation and Partial Magnetic Diffusion
TL;DR: In this paper, the global regularity of 2D MHD systems with partial Laplacian diffusion was studied. But the authors only considered the case where the magnetic diffusion is only partial.
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The asymptotic behavior of solutions to three-dimensional Navier–Stokes equations with nonlinear damping
TL;DR: In this paper, the Fourier splitting method was used to study the L 2 decay of weak Navier-Stokes equations with nonlinear damping, and the optimal upper bounds of the higher-order derivative of the strong solution were derived by employing a new analysis technique.
50
Pressure regularity criteria of the three-dimensional micropolar fluid flows
TL;DR: In this paper, the authors examined the regularity criteria of weak solutions of the 3D micropolar fluid flows by imposing some critical growth conditions only on the pressure field in the Lebesgue space, Morrey space, Multiplier space, BMO space and Besov space, respectively.
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Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure
TL;DR: It is proved that if the pressure satisfies π ∈ L q ( 0, T ; B p, ∞ r ( R 3 ) ), then the weak solution ( u, w ) becomes a regular solution on ( 0 , T ] .
17
On the pressure regularity criterion of the 3D Navier–Stokes equations
TL;DR: In this paper, an improved regularity criterion for weak solutions of the 3D Navier-Stokes equations was obtained, which is mainly based on the innovative function decomposition methods together with Besov space techniques.
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