We consider the three-dimensional compressible Navier--Stokes system with the Coriolis
force and prove the long-time existence of a unique strong solution. More precisely, we …

This paper establishes the existence and uniqueness, and also presents a blow-up criterion,
for solutions of the quasi-geostrophic (QG) equation in a framework of Fourier type …

We establish the global well-posedness of the 3D fractional Boussinesq–Coriolis system
with stratification in a framework of Fourier type, namely spaces of Fourier–Besov type with …

We study the Cauchy problem of the fractional Navier–Stokes equations in critical variable
exponent Fourier–Besov spaces FB ̇ p (⋅), q 4− 2 α− 3 p (⋅). We discuss some properties …

Well-Posedness of the Keller–Segel System in Fourier–Besov–Morrey Spaces Page 1
Zeitschrift für Analysis und ihre Anwendungen c European Mathematical Society Journal of …

We are concerned with bilinear estimates and uniqueness of mild solutions for the Navier-
Stokes equations in critical spaces. For that, we construct general settings in which …

In this paper, we obtain the global well-posedness and analyticity of the 3D fractional
magnetohydrodynamics equations in the critical variable Fourier–Besov spaces, which can …

In this paper we treat the 3D stochastic incompressible generalized rotating
magnetohydrodynamics equations. By using littlewood-Paley decomposition and Itô …

We are concerned with the uniqueness of mild solutions in the critical Lebesgue space L n 2
(Rn) for the parabolic-elliptic Keller-Segel system, n≥ 4. For that, we prove the bicontinuity …

In this article, we consider the Cauchy problem of the dissipative quasi-geostrophic equation
in critical Fourier–Besov spaces. Using the bilinear-type fixed point theory, we obtain the …