9 papers
Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay
Yuming Qin, Huite Jiang
In this paper, we study the long-time dynamics of 3D non-autonomous Navier-Stokes-Voigt(NSV) equations with delay. Inspired by [36], we use the contractive function method to prove…
Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces
Bin Yang, Yuming Qin, Alain Miranville +1
In this paper, we shall investigate the existence and upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations with a strong damping in the time-depe…
Existence and regularity of pullback attractors for nonclassical non-autonomous diffusion equations with delay
Bin Yang, Yuming Qin, Alain Miranville +1
In this paper, we consider the asymptotic behavior of weak solutions for non-autonomous diffusion equations with delay in time-dependent spaces when the nonlinear function is c…
Local existence of solutions to 3D Prandtl equations with a special structure
Yuming Qin, Xiuqing Wang
In this paper, we consider the 3D Prandtl equation in a periodic domain and prove the local existence and uniqueness of solutions by the energy method in a polynomial weighted Sobo…
Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine
Yuming Qin, Xiuqing Wang, Junchen Liu
In this paper, we prove local existence and uniqueness for the 2D Prandtl-Hartmann regine in weighted Sobolev spaces. Our proof is based on using uniform estimates of the regulariz…
Strong global attractors for a three dimensional nonclassical diffusion equation with memory
Yuming Qin, Xiaolei Dong, Alain Miranville +1
In this paper, we study the strong global attractors for a three dimensional nonclassical diffusion equation with memory. First, we prove the existence and uniqueness of strong sol…