Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

This paper is devoted to the analysis of function spaces modeled on Besov spaces and their
applications to non-linear partial differential equations, with emphasis on the …

This paper deals with asymptotic profiles of solutions to the 2D viscous incompressible
micropolar fluid flows in the whole space $ R^ 2$. Based on the spectral decomposition of …

A general method is developed to obtain conditions on initial data and forcing terms for the
global existence of unique regular solutions to incompressible 3d Navier-Stokes equations …

This note studies the well‐posedness of the fractional Navier–Stokes equations in some
supercritical Besov spaces as well as in the largest critical spaces for β∈(1/2, 1) …

The BKM criterion for the 3D Navier–Stokes equations via two velocity components -
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Through analytical argument, the Lp− Lq estimate of a three-dimensional linearized
micropolar fluid flow in the whole space R3 is established. This estimate is used to show the …

A time--local solution is constructed for the Cauchy problem of the n-dimensional Navier--
Stokes equations when the initial velocity belongs to Besov spaces of nonpositive order. The …

The goal of this paper is to establish a Serrin-type regularity criterion in terms of pressure for
Leray weak solutions to the Navier–Stokes equations in R3. It is proved that if the pressure …

In this paper, we prove the well-posedness for the fractional Navier-Stokes equations in
critical spaces $ G^{-(2\beta-1)} _ {n}(\mathbb {R}^{n}) $ and $ BMO^{-(2\beta-1)}(\mathbb …