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SOME PROPERTIES OF SOLUTIONS FOR A SIXTH-ORDER PARABOLIC EQUATION IN ONE SPATIAL DIMENSION
Xiaopeng Zhao 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.3
In this paper, we consider the existence and uniqueness of global weak solution for a sixth-order classical surface-diffusion equation in one spatial dimension. Moreover, theregularity and blow-up of solutions are also studied.
GLOBAL ATTRACTOR FOR COUPLED TWO-COMPARTMENT GRAY-SCOTT EQUATIONS
Zhao, Xiaopeng,Liu, Bo Korean Mathematical Society 2013 대한수학회보 Vol.50 No.1
This paper is concerned with the long time behavior for the solution semiflow of the coupled two-compartment Gray-Scott equations with the homogeneous Neumann boundary condition on a bounded domain of space dimension $n{\leq}3$. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the equations possesses a global attractor in $H^k({\Omega})^4$ ($k{\geq}0$) space.
The existence of global attractor for convective Cahn-Hilliard equation
Xiaopeng Zhao,Bo Liu 대한수학회 2012 대한수학회지 Vol.49 No.2
In this paper, we consider the convective Cahn-Hilliard equa-tion. Based on the regularity estimates for the semigroups, iteration tech-nique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation possesses a global attractor in Hk (k≥ 0) space, which attracts any bounded subset of Hk(Ω) in the Hk-norm.
Global attractor for coupled two-compartment Gray-Scott equations
Xiaopeng Zhao,Bo Liu 대한수학회 2013 대한수학회보 Vol.50 No.1
This paper is concerned with the long time behavior for the solution semiflow of the coupled two-compartment Gray-Scott equations with the homogeneous Neumann boundary condition on a bounded do- main of space dimension n ≤ 3. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the equations possesses a global attractor in Hk(Ω)4 (k≥0) space.
SOME PROPERTIES OF SOLUTIONS FOR A SIXTH-ORDER PARABOLIC EQUATION IN ONE SPATIAL DIMENSION
Zhao, Xiaopeng The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.3
In this paper, we consider the existence and uniqueness of global weak solution for a sixth-order classical surface-diffusion equation in one spatial dimension. Moreover, the regularity and blow-up of solutions are also studied.
THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
Zhao, Xiaopeng,Liu, Bo Korean Mathematical Society 2012 대한수학회지 Vol.49 No.2
In this paper, we consider the convective Cahn-Hilliard equation. Based on the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation possesses a global attractor in $H^k$($k\geq0$) space, which attracts any bounded subset of $H^k({\Omega})$ in the $H^k$-norm.
SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONS
ZHAO, XIAOPENG Korean Mathematical Society 2015 대한수학회보 Vol.52 No.5
In this paper, the long time behavior of the convective Cahn-Hilliard equation in two dimensions is considered, semidiscrete and completely discrete spectral approximations are constructed, error estimates of optimal order that hold uniformly on the unbounded time interval $0{\leq}t<{\infty}$ are obtained.
SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONS
Xiaopeng Zhao 대한수학회 2015 대한수학회보 Vol.52 No.5
In this paper, the long time behavior of the convective Cahn- Hilliard equation in two dimensions is considered, semidiscrete and completely discrete spectral approximations are constructed, error estimates of optimal order that hold uniformly on the unbounded time interval 0 ≤ t < ∞ are obtained.
Technology Integration as a Function of Culture: A Case Study of Exemplary Technology Use
Xiaopeng Ni,Yali Zhao APEC국제교육협력원 2006 Asia-Pacific Cybereducation Journal Vol.2 No.2
A successful technology integration practice depends on both individual levels of teaching expertise and the socio-context in which the teacher lives. In this article, the researchers present a case study of an exemplary female teacher using technology integration in the context of an elementary school in China. Multiple sets of data were collected to examine the teacher's exemplary practice, perceived benefits, concerns, and visions about technology integration in Chinese classrooms. Researchers then investigated how the Chinese culture as a contextual factor affects teachers' technology integration practice. The teacher's technology integration experience was significantly modulated by the social context. Policy makers of technology integration should give significant consideration to this underlying factor.
Xiaopeng Guo,Xianlu Zhuo,Zhen Sun,Huarong Chen,Junjun Ling,Houyu Zhao,Aoshuang Chang 대한이비인후과학회 2023 Clinical and Experimental Otorhinolaryngology Vol.16 No.1
Objectives. Nicotine is an ingredient of tobacco, and exposure to nicotine increases the risks of various cancers, includingoral cancer. Previous studies have focused on the addictive properties of nicotine, but its carcinogenic mechanism hasrarely been studied. We aimed to explore the key genes in the process through which nicotine promotes the occur-rence and development of oral cancer via data mining and experimental verification. Methods. This study involved three parts. First, key genes related to nicotine-related oral cancer were screened throughdata mining; second, the expression and clinical significance of a key gene in oral cancer tissues were verified by bio-informatics. Finally, the expression and clinical significance of the key gene in oral cancer were histologically investi-gated, and the effects of its expression on cell proliferation, invasion, and drug resistance were cytologically assessed. Results. SERPINE1 was identified as the key gene, which was upregulated in nicotine-treated oral cells and may be an in-dependent prognostic factor for oral cancer. SERPINE1 was enriched in various pathways, such as the tumor necro-sis factor and apelin pathways, and was related to the infiltration of macrophages, CD4+T cells, and CD8+T cells. Overexpression of SERPINE1 was associated with N staging and may be involved in hypoxia, angiogenesis, and me-tastasis. Knockdown of SERPINE1 in oral cancer cells resulted in weakened cell proliferation and invasion abilityand increased sensitivity to bleomycin and docetaxel. Conclusion. This study revealed SERPINE1 as a key gene for nicotine-related oral cancer, indicating that SERPINE1 maybe a novel prognostic indicator and therapeutic target for oral carcinoma.