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  1. 1

    Global boundedness in a Keller-Segel system with nonlinear indirect signal consumption mechanism by Zihan Zheng, Juan Wang, Liming Cai

    Published 2024-08-01
    “…In this paper, we study a quasilinear chemotaxis model with a nonlinear indirect consumption mechanism$ \begin{equation*} \left\{ \begin{array}{ll} v_{1t} = \nabla \cdot\big(\psi(v_{1})\nabla v_{1}-\chi \phi(v_{1})\nabla v_{2}\big)+\lambda_{1}v_{1}-\lambda_{2}v_{1}^{\beta},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] v_{2t} = \Delta v_{2}-w^{\theta}v_{2}, \ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 = \Delta w-w+v_{1}^{\alpha}, \ &\ \ x\in \Omega, \ t>0 ,\\[2.5mm] \end{array} \right. …”
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  2. 2

    Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity by Weaam Alhejaili, Munirah Alotaibi, Abdelraheem M. Aly

    Published 2024-12-01
    “…The pertinent parameters were scaled as Frank-Kamenetskii number $ Fk\left(0-1, \right) $ Ca–Ch heat, mass transfer parameters $ \left({\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }}\right)(0-0.2), $ Hartmann number $ Ha(0-60), $ buoyancy ratio parameter $ N(-2-4) $, power law index parameter $ n(1.1-1.4) $, Rayleigh number $ Ra({10}^{3}-{10}^{5}) $, Soret/Dufour numbers $ \left(Sr\&Du\right)(0-0.5) $, and fusion temperature $ {\theta }_{f}(0.1-0.9) $. …”
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