Yadong Liu

Yadong Liu
Universität Regensburg | UR · Faculty of Mathematics

Master of Science

About

13
Publications
701
Reads
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44
Citations
Citations since 2017
13 Research Items
44 Citations
201720182019202020212022202305101520
201720182019202020212022202305101520
201720182019202020212022202305101520
201720182019202020212022202305101520
Education
October 2020 - October 2023
Universität Regensburg
Field of study
  • Partial differential equations
September 2018 - June 2020
Nanjing University of Information Science & Technology
Field of study
  • Partial differential equations
September 2014 - June 2018
Nanjing University of Information Science & Technology
Field of study
  • Partial differential equations

Publications

Publications (13)
Article
This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. (2016) [50] with additional viscoelastic effects, which was also investigated by the authors (2021) [1]. Compared to it, the problem is posed in a cylindrical domain with ninety-degree contact angles, which brings additional difficultie...
Preprint
Full-text available
This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where the two components are partially mixed. Considering the elasticity of both components, one ends up with a coup...
Article
Full-text available
We study a free-boundary fluid–structure interaction problem with growth, which arises from the plaque formation in blood vessels. The fluid is described by the incompressible Navier–Stokes equations, while the structure is considered as a viscoelastic incompressible neo-Hookean material. Moreover, the growth due to the biochemical process is taken...
Preprint
Full-text available
We address a quasi-stationary fluid-structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the incompressible Navier--Stokes equation, while the motion of vessels is captured by a quasi-stationary equation o...
Preprint
Full-text available
This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. [J. Math. Biol., 72(4):973--996, 2016] with additional viscoelastic effects, which was also investigated by the authors [arXiv preprint: 2110.00042, 2021]. Compared to it, the problem is posed in a cylindrical domain with ninety-degree...
Preprint
We study a free-boundary fluid-structure interaction problem with growth, which arises from the plaque formation in blood vessels. The fluid is described by the incompressible Navier-Stokes equation, while the structure is considered as a viscoelastic incompressible neo-Hookean material. Moreover, the growth due to the biochemical process is taken...
Article
We study the fourth order semilinear suspension bridge problem with restoring force h(u) and linear damping \(\delta u_{t}\). Using the multiplier method, we first establish the observability inequality of the corresponding system without damping term. Then we show an equivalence between observability and exponential stabilization of this system by...
Preprint
We consider a fluid-structure interaction problem with Navier-slip boundary conditions in which the fluid is considered as a Non-Newtonian fluid and the structure is described by a nonlinear multi-layered model. The fluid domain is driven by a nonlinear elastic shell and thus is not fixed. Therefore, to analyze the problem, we map the fluid problem...
Article
Full-text available
This paper is concerned with the well‐posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. We first obtain the well‐posedness of the system by using semigroup method. We then investigate the asymptotic behaviour of the system through the perturbed energy method. We prove that the energy of system deca...
Article
A non-Newtonian fluid model is used to investigate the 2D pulsatile blood flow through a tapered artery with stenosis. The mixed convection effects of heat and mass transfer are also taken into account. By applying non-dimensionalization and radial coordinate transformation, we simplify the system in a tube. Under the finite difference scheme, nume...
Preprint
We address the dynamics of two-dimensional Navier-Stokes models with infinite delay and hereditary memory, whose kernels are a much larger class of functions than the one considered in the literature, on a bounded domain. We prove the existence and uniqueness of weak solutions by means of Faedo-Galerkin method. Moreover, we establish the existence...
Preprint
Full-text available
In this paper, we investigate the dynamics of three dimensional stochastic Navier-Stokes equations with memory in unbounded domains. More specifically, we obtain the uniform in time estimates for both $ \cH $ solutions and $ \cH^{1} $ solutions in which we overcome the low regularity caused by the absence of Voigt term. Based on the estimates above...
Article
Full-text available
In this paper, we study the dynamic behavior and control of the fractional-order nutrient-phytoplankton-zooplankton system. First, we analyze the stability of the fractional-order nutrient-plankton system and get the critical stable value of fractional orders. Then, by applying the linear feedback control and Routh-Hurwitz criterion, we yield the s...

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