3 papers
math.AP2024
Global well-posedness of the Navier--Stokes equations and the Keller--Segel system in variable Fourier--Besov spaces
Gastón Vergara-Hermosilla, Jihong Zhao
In this paper, we study the Cauchy problem of the classical incompressible Navier--Stokes equations and the parabolic-elliptic Keller--Segel system in the framework of the Fourier-…
math.AP2024
Global well-posedness of the fractional dissipative system in the framework of variable Fourier--Besov spaces
Gastón Vergara-Hermosilla, Jihong Zhao
In this paper, we are concerned with the well-posed issues of the fractional dissipative system in the framework of the Fourier--Besov spaces with variable regularity and integrabi…
math.AP2024
On the Cauchy problem for the fractional Keller-Segel system in variable Lebesgue spaces
Gastón Vergara-Hermosilla, Jihong Zhao
In this paper, we are mainly concerned with the well-posed problem of the fractional Keller--Segel system in the framework of variable Lebesgue spaces. Based on carefully examining…