Global Attractors for a Nonclassical Diffusion Equation

Article Properties
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction–diffusion equations Journal of Differential Equations
  • Science: Mathematics
202 2006
Attractors for the semilinear reaction–diffusion equation with distribution derivatives in unbounded domains Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
55 2005
10.4064/bc60-0-1 2003
Attractors for a Nonclassical Diffusion Equation Acta Mathematicae Applicatae Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
56 2002
10.1007/BF01202949 Acta Mechanica
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
1980
Citations
Title Journal Journal Categories Citations Publication Date
Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations Acta Mathematica Scientia
  • Science: Mathematics
2023
Pullback random attractors of non-autonomous non-classical diffusion equations driven by colored noise SCIENTIA SINICA Mathematica 2023
The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities

Glasgow Mathematical Journal
  • Science: Mathematics
2022
Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on $ \mathbb{R}^n $

Discrete and Continuous Dynamical Systems - B
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2022
Strong pullback attractors for a nonclassical diffusion equation

Discrete and Continuous Dynamical Systems - B
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2022
Citations Analysis
The category Science: Mathematics 48 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Attractors for the semilinear reaction–diffusion equation with distribution derivatives in unbounded domains and was published in 2005. The most recent citation comes from a 2023 study titled Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations. This article reached its peak citation in 2020, with 6 citations. It has been cited in 43 different journals, 16% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year