Search Results for author: Peter Y. H. Pang

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Asymptotic profile of a two-dimensional chemotaxis--Navier--Stokes system with singular sensitivity and logistic source

no code implementations24 Dec 2020 Peter Y. H. Pang, Yifu Wang, Jingxue Yin

The chemotaxis--Navier--Stokes system \begin{equation*}\label{0. 1} \left\{\begin{array}{ll} n_t+u\cdot \nabla n=\triangle n-\chi\nabla\cdotp \left(\displaystyle\frac n {c}\nabla c\right)+n(r-\mu n), c_t+u\cdot \nabla c=\triangle c-nc, u_t+ (u\cdot \nabla) u=\Delta u+\nabla P+n\nabla\phi, \nabla\cdot u=0, \end{array}\right.

Analysis of PDEs 35K55, 35Q30, 35B40, 35Q92, 76D05, 92C17

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