Well-posedness for Hall-magnetohydrodynamics

Article Properties
  • DOI (url)
    10.1016/j.anihpc.2013.04.006
  • Publication Date
    2014/06/01
  • Journal
    Annales de l'Institut Henri Poincaré C, Analyse non linéaire
  • Indian UGC (journal)
  • Refrences
    17
  • Citations
    167
  • Dongho Chae Department of Mathematics; Chung-Ang University, Seoul 156-756, Republic of Korea
  • Pierre Degond Université de Toulouse; UPS, INSA, UT1, UTM; Institut de Mathématiques de Toulouse; F-31062 Toulouse, FranceCNRS; Institut de Mathématiques de Toulouse, UMR 5219; F-31062 Toulouse, France
  • Jian-Guo Liu Department of Physics and Department of Mathematics, Duke University, Durham, NC 27708, USA
Cite
Chae, Dongho, et al. “Well-Posedness for Hall-Magnetohydrodynamics”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 31, no. 3, 2014, pp. 555-6, https://doi.org/10.1016/j.anihpc.2013.04.006.
Chae, D., Degond, P., & Liu, J.-G. (2014). Well-posedness for Hall-magnetohydrodynamics. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 31(3), 555-565. https://doi.org/10.1016/j.anihpc.2013.04.006
Chae, Dongho, Pierre Degond, and Jian-Guo Liu. “Well-Posedness for Hall-Magnetohydrodynamics”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 31, no. 3 (2014): 555-65. https://doi.org/10.1016/j.anihpc.2013.04.006.
Chae D, Degond P, Liu JG. Well-posedness for Hall-magnetohydrodynamics. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2014;31(3):555-6.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Star formation and the Hall effect Astrophysics and Space Science
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Dynamo Action in Magnetohydrodynamics and Hall‐Magnetohydrodynamics The Astrophysical Journal
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Refrences Analysis
Category Category Repetition
Science: Astronomy9
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
Science: Mathematics2
Science: Astronomy: Astrophysics2
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases2
Science: Physics2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Mechanical engineering and machinery1
Science: Chemistry: Physical and theoretical chemistry1
The category Science: Astronomy 9 is the most frequently represented among the references in this article. It primarily includes studies from Kinetic and Related Models and The Astrophysical Journal. 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
Almost Sure Well-Posedness for Hall MHD Journal of Mathematical Fluid Mechanics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
 2024
Global well-posedness of the incompressible Hall-MHD system in critical spaces Journal of Evolution Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Remarks on uniqueness and energy conservation for electron-MHD system Journal of Evolution Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Existence, uniqueness and decay rates of a certain type of 3D Hall-MHD equations with power-law type Analysis and Mathematical Physics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Citations Analysis
Category Category Repetition
Science: Mathematics155
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods117
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics20
Science: Physics18
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases16
Technology: Engineering (General). Civil engineering (General)5
Science: Mathematics: Analysis4
Science: Mathematics: Probabilities. Mathematical statistics2
Technology: Mechanical engineering and machinery2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Science: Astronomy1
Science: Geology1
The category Science: Mathematics 155 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regularity criteria for the incompressible Hall-magnetohydrodynamic equations and was published in 2014. The most recent citation comes from a 2024 study titled THE GLOBAL STRONG SOLUTIONS OF THE 3D INCOMPRESSIBLE HALL-MHD SYSTEM WITH VARIABLE DENSITY. This article reached its peak citation in 2022, with 30 citations. It has been cited in 61 different journals, 11% of which are open access. Among related journals, the Zeitschrift für angewandte Mathematik und Physik cited this research the most, with 18 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year