Searching for singularities in the Navier–Stokes equations

Article Properties
Journal Category
Science
Physics
Refrences
Title Journal Journal Categories Citations Publication Date
On the universality of the incompressible Euler equation on compact manifolds Discrete & Continuous Dynamical Systems 12 2018
10.4310/DPDE.2017.v14.n3.a1 2017
Finite time blowup for an averaged three-dimensional Navier-Stokes equation

 Journal of the American Mathematical Society
  • Science: Mathematics
 67 2016
10.1007/BF02551584 Acta Mathematica
  • Science: Mathematics
 1996
Dissipation of energy in the locally isotropic turbulence

 Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 317 1991
Citations
Title Journal Journal Categories Citations Publication Date
An alternative to the Navier–Stokes equation based on the conservation of acceleration

 Journal of Fluid Mechanics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Technology: Mechanical engineering and machinery
  • Science: Physics
 2024
Classical and non-classical symmetries of time-fractional Navier–Stokes equation Indian Journal of Physics
  • Science: Physics
  • Science: Physics
 2023
Universality of Euler flows and flexibility of Reeb embeddings Advances in Mathematics
  • Science: Mathematics
 2 2023
Extrusion-based 3D co-printing: Printing material design and novel workflow for fabricating patterned heterogeneous tissue structures Materials & Design
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Science: Chemistry
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
 7 2023
Computability and Beltrami fields in Euclidean space Journal de Mathématiques Pures et Appliquées
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 4 2023
Citations Analysis
Category Category Repetition
Science: Physics6
Science: Mathematics5
Science: Science (General)4
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics3
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases3
Science: Chemistry2
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials2
Science2
Science: Chemistry: Analytical chemistry1
Science: Chemistry: Physical and theoretical chemistry1
Technology: Chemical technology1
Technology: Mechanical engineering and machinery1
Medicine1
Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity: Elementary particle physics1
Science: Astronomy1
Science: Physics: Atomic physics. Constitution and properties of matter1
Science: Physics: Heat: Thermodynamics1
Science: Mathematics: Analysis1
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
The category Science: Physics 6 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Turing Universality of the Incompressible Euler Equations and a Conjecture of Moore and was published in 2021. The most recent citation comes from a 2024 study titled An alternative to the Navier–Stokes equation based on the conservation of acceleration. This article reached its peak citation in 2023, with 9 citations. It has been cited in 15 different journals, 33% of which are open access. Among related journals, the Advances in Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year