5 papers · 1 filter
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…
Stability of a one-dimensional full viscous quantum hydrodynamic system
Xiaoying Han, Yuming Qin, Wenlong Sun
A full viscous quantum hydrodynamic system for particle density, current density, energy density and electrostatic potential coupled with a Poisson equation in one dimensional boun…
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…
Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory
Bin Yang, Yuming Qin, Alain Miranville +1
This paper is concerned with the existence and regularity of global attractor for a Kirchhoff wave equation with strong damping and memory in the weighted time-depende…