Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Mohammad M. Al-Gharabli"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12825-12851 (2024)
We considered a swelling porous-elastic system characterized by two nonlinear variable exponent damping and logarithmic source terms. Employing the Faedo-Galerkin method, we established the local existence of weak solutions under suitable assumptions
Externí odkaz:
https://doaj.org/article/ee8face5eedb499a91a02f04ea63d8d8
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100827- (2024)
Image deblurring (ID) plays a vital role in various applications, including photography, medical imaging, and surveillance. Traditional ID methods often face challenges in preserving fine details and handling complex blurring scenarios due to expensi
Externí odkaz:
https://doaj.org/article/370d7c04f1394a12bf225cddfe1659a3
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 19971-19992 (2023)
In this paper, we consider a coupling non-linear system of two plate equations with logarithmic source terms. First, we study the local existence of solutions of the system using the Faedo-Galerkin method and Banach fixed point theorem. Second, we pr
Externí odkaz:
https://doaj.org/article/07be819cc64d4351b8637d49718f91b8
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 7933-7966 (2023)
In this paper, we consider a coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities. This system is supplemented with initial and mixed boundary conditions. First, we estab
Externí odkaz:
https://doaj.org/article/2093303be7af4ee99def8abe09b65418
Publikováno v:
Electronic Research Archive, Vol 30, Iss 11, Pp 4038-4065 (2022)
The main goal of this work is to investigate the following nonlinear plate equation $ u_{tt}+\Delta ^2 u +\alpha(t) g(u_t) = u \vert u\vert ^{\beta}, $ which models suspension bridges. Firstly, we prove the local existence using Faedo-Galerkin
Externí odkaz:
https://doaj.org/article/58be507344dc4b0e9458e8e469cc54fd
Publikováno v:
AIMS Mathematics, Vol 7, Iss 8, Pp 15370-15401 (2022)
In this work, we consider a viscoelastic wave equation with boundary damping and variable exponents source term. The damping terms and variable exponents are localized on a portion of the boundary. We first, prove the existence of global solutions an
Externí odkaz:
https://doaj.org/article/70bc6dd3546048a1b8e9ce748726be94
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 3067-3082 (2022)
In this work we study a wave equation with a nonlinear time dependent frictional damping of variable exponent type. The existence and uniqueness results are established using Fadeo-Galerkin approximation method. We also exploit the Komornik lemma to
Externí odkaz:
https://doaj.org/article/c5324c507a7c4fa6a4866299098f8b51
Publikováno v:
AIMS Mathematics, Vol 6, Iss 11, Pp 11921-11949 (2021)
The purpose of this paper is to establish a general stability result for a one-dimensional linear swelling porous-elastic system with past history, irrespective of the wave speeds of the system. First, we establish an explicit and general decay resul
Externí odkaz:
https://doaj.org/article/9ab793dfbff4442796533bb6fc7fc1e5
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 10105-10129 (2021)
In this paper, we consider the following viscoelastic problem with variable exponent and logarithmic nonlinearities: $ u_{tt}-\Delta u+u+ \int_0^tb(t-s)\Delta u(s)ds+|u_t|^{{\gamma}(\cdot)-2}u_t = u\ln{\vert u\vert^{\alpha}}, $ where $ {\gamma}
Externí odkaz:
https://doaj.org/article/872b0ce504d7484196ae25dbc9f375f5
Publikováno v:
Mathematical and Computational Applications, Vol 28, Iss 1, p 5 (2023)
In this paper, we study the long-time behavior of a weakly dissipative viscoelastic equation with variable exponent nonlinearity of the form utt+Δ2u−∫0tg(t−s)Δu(s)ds+a|ut|n(·)−2ut−Δut=0, where n(.) is a continuous function satisfying so
Externí odkaz:
https://doaj.org/article/29bdb9b40d1e45c9b9e31ef5b4260db9