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  • American Institute of Mathematical Sciences (AIMS)  (3)
  • Unknown  (3)
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  • American Institute of Mathematical Sciences (AIMS)  (3)
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  • Unknown  (3)
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  • 1
    Online Resource
    Online Resource
    The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay
    American Institute of Mathematical Sciences (AIMS) ; 2023
    In:  AIMS Mathematics Vol. 8, No. 11 ( 2023), p. 26650-26664
    Details
    In: AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), Vol. 8, No. 11 ( 2023), p. 26650-26664
    Abstract: 〈abstract〉〈p〉In this article, the global well-posedness of weak solutions for 2D non-autonomous g-Navier-Stokes equations on some bounded domains were investigated by the Faedo-Galerkin method. Then the existence of pullback attractors for 2D g-Navier-Stokes equations with nonlinear damping and time delay was obtained using the method of pullback condition (PC).〈/p〉〈/abstract〉
    Type of Medium: Online Resource
    ISSN: 2473-6988
    URL: Article
    DOI: 10.3934/math.20231363
    Language: Unknown
    Publisher: American Institute of Mathematical Sciences (AIMS)
    Publication Date: 2023
    detail.hit.zdb_id: 2917342-5
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  • 2
    Online Resource
    Online Resource
    Edge detection with mixed noise based on maximum a posteriori approach
    American Institute of Mathematical Sciences (AIMS) ; 2021
    In:  Inverse Problems & Imaging Vol. 15, No. 5 ( 2021), p. 1223-
    Details
    In: Inverse Problems & Imaging, American Institute of Mathematical Sciences (AIMS), Vol. 15, No. 5 ( 2021), p. 1223-
    Abstract: 〈p style='text-indent:20px;'〉Edge detection is an important problem in image processing, especially for mixed noise. In this work, we propose a variational edge detection model with mixed noise by using Maximum A-Posteriori (MAP) approach. The novel model is formed with the regularization terms and the data fidelity terms that feature different mixed noise. Furthermore, we adopt the alternating direction method of multipliers (ADMM) to solve the proposed model. Numerical experiments on a variety of gray and color images demonstrate the efficiency of the proposed model.〈/p〉
    Type of Medium: Online Resource
    ISSN: 1930-8345
    URL: Article
    DOI: 10.3934/ipi.2021035
    Language: Unknown
    Publisher: American Institute of Mathematical Sciences (AIMS)
    Publication Date: 2021
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  • 3
    Online Resource
    Online Resource
    The uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness and its dimensions
    American Institute of Mathematical Sciences (AIMS) ; 2023
    In:  Electronic Research Archive Vol. 31, No. 7 ( 2023), p. 3963-3979
    Details
    In: Electronic Research Archive, American Institute of Mathematical Sciences (AIMS), Vol. 31, No. 7 ( 2023), p. 3963-3979
    Abstract: 〈abstract〉〈p〉In this paper, the uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness is studied in unbounded domain. The uniform asymptotic properties of the process family is proved with the energy equation method and the uniform attractor is obtained. Finally, the dimension of the uniform attractor is estimated in the quasi-periodical case.〈/p〉〈/abstract〉
    Type of Medium: Online Resource
    ISSN: 2688-1594
    URL: Article
    DOI: 10.3934/era.2023201
    Language: Unknown
    Publisher: American Institute of Mathematical Sciences (AIMS)
    Publication Date: 2023
    detail.hit.zdb_id: 3147960-1
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