刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 March 2017
年:2017
卷:447
期:1
页码:499-528
全文大小:564 K
文摘
In this paper, we consider the following Keller–Segel(–Navier)–Stokes system<div class="formula" id="fm0010"><div class="label">equation(⋆)div><div class="mathml">div>div> where Ω⊂RN (N=2,3) is a bounded domain with smooth boundary ∂Ω, κ∈R and χ(c) is assumed to generalize the prototype<div class="formula" id="fm0020"><div class="mathml">div>div> It is proved that i) for κ≠0 and N=2 or κ=0 and N∈{2,3}, the corresponding initial–boundary problem admits a unique global classical solution which is bounded; ii) for κ≠0 and N=3, the corresponding initial–boundary problem possesses at least one global weak solution.