Keller–Segel–Stokes interaction involving signal‐dependent motilities
<jats:p>The chemotaxis‐Stokes system
<jats:disp-formula>
</jats:disp-formula>is considered along with homogeneous boundary conditions of no‐flux type for
and
, and of Dirichlet type for
, in a smoothly bounded domain
. Under the assumption that
, that
is bounded on each of the intervals
with arbitrary
, and that with some
and
, we have
<jats:disp-formula>
</jats:disp-formula>It is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution.</jats:p>
46
14
15667-15683
15667-15683
Wiley