Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of $${\mathbb{R}^3}$$
Tóm tắt
We consider the initial boundary value problem for the system of equations describing the nonstationary flow of an incompressible micropolar fluid in a domain Ω of
$${\mathbb{R}^3}$$
. Under hypotheses that are similar to the Navier-Stokes equations, by using an iterative scheme, we prove the existence and uniqueness of strong solution in L
p
(Ω), for p > 3.
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