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Dr. Jie Cao
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Academic Career Length
11Years (2016-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications14 January 2016 in Journal of Mathematical Fluid Mechanics
Journal Article
2 April 2022 in Nonlinear Analysis: Real World Applications
Journal Article
Journal Article
The principal objective of the paper is the study of the three-dimensional Navier–Stokes system with non-autonomous perturbation force term and increasing damping term, which often appears in the fluid system within saturated porous media and other complex media. With some suitable assumptions on the system parameters and external force term, based on the known result on global well-posedness, the existence of pullback attractors is educed, and the system robustness is shown via the upper semicontinuity of system attractors as the perturbation parameter approaches a certain value.
About Me
(1) Jie Cao and Yuming Qin, Global existence of strong solutions in H-2 to the diffusion approximation model in radiation hydrodynamics, Mathematical Methods in the Applied Sciences, 2018, 41(4): 1509-1517.
(2) Jie Cao and Yuming Qin, Pullback attractors of 2D incompressible Navier-Stokes-Voight equations with delay, Mathematical Methods in the Applied Sciences, 2017, 40(18): 6670-6683.
(3) Yuming Qin, Jianlin Zhang, Xing Su and Jie Cao, Global Existence and Exponential Stability of Spherically Symmetric Solutions to a Compressible Combustion Radiative and Reactive Gas, Journal of Mathematical Fluid Mechanics, 2016, 18(3): 415-461.
(4) Jianlin Zhang, Yuming Qin and Jie Cao, Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data, Journal of Partial Differential Equations, 2016, 29(4): 286-301.