Attractors for a Nonclassical Diffusion Equation

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Xiao, Yue-long. “Attractors for a Nonclassical Diffusion Equation”. Acta Mathematicae Applicatae Sinica, English Series, vol. 18, no. 2, 2002, pp. 273-6, https://doi.org/10.1007/s102550200026.
Xiao, Y.- long. (2002). Attractors for a Nonclassical Diffusion Equation. Acta Mathematicae Applicatae Sinica, English Series, 18(2), 273-276. https://doi.org/10.1007/s102550200026
Xiao, Yue-long. “Attractors for a Nonclassical Diffusion Equation”. Acta Mathematicae Applicatae Sinica, English Series 18, no. 2 (2002): 273-76. https://doi.org/10.1007/s102550200026.
1.
Xiao Y long. Attractors for a Nonclassical Diffusion Equation. Acta Mathematicae Applicatae Sinica, English Series. 2002;18(2):273-6.
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Refrences
Title Journal Journal Categories Citations Publication Date
10.1007/BF01202949 Acta Mechanica
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
 1980
10.1007/BF01594969 1968
10.1007/BF00250690 Archive for Rational Mechanics and Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics
 1963
Liu, Y.C., Wang, F.: A class of multidimensional nonlinear Sobolev-Galpern equation. Acta Math. Appl. Sinica, 17: 569–577 (1994) (in Chinese) 1994
10.1007/978-3-642-46015-9_1
Citations
Title Journal Journal Categories Citations Publication Date
Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces

 Asymptotic Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory

 Journal of Mathematical Physics
  • Science: Mathematics
  • Science: Physics
 4 2023
Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces

 AIMS Mathematics 2023
The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities

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 2022
Citations Analysis
Category Category Repetition
Science: Mathematics48
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods36
Science: Physics5
Science: Mathematics: Analysis3
Science: Science (General)1
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 The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction–diffusion equations and was published in 2006. The most recent citation comes from a 2024 study titled Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces. This article reached its peak citation in 2014, with 8 citations. It has been cited in 36 different journals, 16% of which are open access. Among related journals, the Journal of Mathematical Physics cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year