Regularity criteria for the generalized viscous MHD equations
Article Properties
-
DOI (url)
-
Publication Date2007/06/01
-
Indian UGC (journal)
-
Refrences22
-
Citations158
-
Yong Zhou Department of Mathematics, East China Normal University, Shanghai 200062, China
Cite
Zhou, Yong. “Regularity Criteria for the Generalized Viscous MHD Equations”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 24, no. 3, 2007, pp. 491-05, https://doi.org/10.1016/j.anihpc.2006.03.014.
Zhou, Y. (2007). Regularity criteria for the generalized viscous MHD equations. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 24(3), 491-505. https://doi.org/10.1016/j.anihpc.2006.03.014
Zhou, Yong. “Regularity Criteria for the Generalized Viscous MHD Equations”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 24, no. 3 (2007): 491-505. https://doi.org/10.1016/j.anihpc.2006.03.014.
Zhou Y. Regularity criteria for the generalized viscous MHD equations. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2007;24(3):491-505.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
- An Extension Problem Related to the Fractional Laplacian
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system
- The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On the regularity of weak solutions to the magnetohydrodynamic equations | Journal of Differential Equations |
| 348 | 2005 |
| A new regularity criterion for weak solutions to the Navier–Stokes equations | Journal de Mathématiques Pures et Appliquées |
| 95 | 2005 |
| Remarks on regularities for the 3D MHD equations | Discrete & Continuous Dynamical Systems | 203 | 2005 | |
| Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain | Mathematische Annalen |
| 75 | 2004 |
| On partial regularity for weak solutions to the Navier–Stokes equations | Journal of Functional Analysis |
| 8 | 2004 |
Refrences Analysis
The category
Science: Mathematics 16
is the most frequently represented among the references in this article. It primarily includes studies from Communications on Pure and Applied Mathematics and Journal of Differential Equations. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Local existence results in Sobolev spaces for generalized magnetohydrodynamics equations | Mathematical Methods in the Applied Sciences |
| 2024 | |
| Blow-Up Criterion of the 3D Magnetic Bénard Equations via the Gradient of Pressure | Vietnam Journal of Mathematics |
| 2024 | |
| A new regularity criterion for the 3D MHD equations in Triebel-Lizorkin spaces | Journal of Mathematical Analysis and Applications |
| 2024 | |
| Optimal Decay Rates for n-dimensional Generalized Magnetohydrodynamic Equations | Journal of Mathematical Fluid Mechanics |
| 1 | 2023 |
| A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor | Applied Mathematics Letters |
| 1 | 2023 |
Citations Analysis
The category
Science: Mathematics 148
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A regularity criterion for the density-dependent magnetohydrodynamic equations and was published in 2009. The most recent citation comes from a 2024 study titled Blow-Up Criterion of the 3D Magnetic Bénard Equations via the Gradient of Pressure. This article reached its peak citation in 2014, with 24 citations. It has been cited in 51 different journals, 15% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.