Hua Qiu

Serrin-type blow-up criteria for 3D Boussinesq equations

In this article, we consider the three-dimensional Boussinesq equations with the incompressibility condition. We obtain some Serrin-type regularity conditions for the three-dimensional Boussinesq equations.

SPATIAL DECAY BOUNDS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR TRANSIENT COMPRESSIBLE VISCOUS FLOW

In this paper, spatial decay estimates for the time dependent compressible viscous isentropic ow in a semi-innite three dimensional pipe are derived. An upper bound for the total energy in terms of the initial boundary data is obtained as well. The results established in this paper may be viewed as a version of Saint-Venants principle in transient compressible Navier-Stokes ow.

On the well-posedness of the ideal incompressible viscoelastic flow in the critical Besov spaces

Abstract In this paper, we study the viscoelastic fluid system of the Oldroyd model. By means of the Fourier frequency localization and Bony paraproduct decomposition, we establish the local well-posedness for the incompressible Oldroyd system in the critical Besov spaces under the ideal case. Furthermore, as a byproduct, we obtain a Beale–Kato–Majida-type criterion (Beale etxa0al., 1984).

Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces

Abstract In this paper, we consider the N -dimensional incompressible density-dependent Boussinesq equations without dissipation terms ( N ≥ 2 ) . We establish the local well-posedness for the incompressible Boussinesq system under the framework of the Besov spaces. In addition, we also obtain a Beale–Kato–Majda-type regularity criterion.

Stochastic simplified bardina turbulent model: existence of weak solution

Abstract In this paper, we consider the stochastic version of the 3D Bardina model arising from the turbulent flows of fluids. We obtain the existence of probabilistic weak solution for the model with the non-Lipschitz condition.