Xia Zhao

Institute of Oceanology

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Weidong Wang

Beijing Forestry University

Peibiao Zhao

Nanjing University of Science and Technology

Guanhao Hou

Institute of Oceanology

Huaishuai Shang

Qingdao University of Technology

Liang Fan

Institute of Oceanology

Chao Li

Courant Institute of Mathematical Sciences

Dongzhu Lu

Chinese Academy of Sciences

Zhiqiang Li

Chongqing University

Congtao Sun

Institute of Oceanology

George A. Elliott

University of Toronto

Cooperative Institutions

Chinese Academy of Sciences

Institute of Oceanology

Qingdao University of Technology

Nanjing University of Science and Technology

Guangxi Academy of Sciences

Qingdao National Laboratory for Marine Science and Technology

University of Chinese Academy of Sciences

Xidian University

Wuhan University

New York University

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EVA enhanced cementitious materials based coatings for the improvement of steel reinforcement corrosion protection performance

Journal of Building Engineering (2023)

Huaishuai Shang Guanhao Hou Congtao Sun Dongzhu Lu Xia Zhao

Cementitious

10.1016/j.jobe.2023.107080

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Citations (11)

An analog of the Krein–Milman theorem for certain non-compact convex sets

Journal of Noncommutative Geometry (2021)

George A. Elliott Zhiqiang Li Xia Zhao

We make a contribution towards extending the remarkable Krein–Milman analog result of K. Thomsen and L. Li, in which a certain non-compact convex set is shown to be generated by its extreme points.

10.4171/jncg/431

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Flow by Gauss Curvature to the Orlicz Minkowski Problem for q-torsional rigidity

arXiv (Cornell University) (2024)

Xia Zhao Peibiao Zhao

The Minkowski problem for torsional rigidity ($2$-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu, Liu and Ma \cite{HJ00} also studied this problem by method of curvature flow and obtain the existence of smooth solution. In addition, the Minkowski problem for $2$-torsional rigidity was also extended to $L_p$ version and Orlicz version. Recently, Hu and Zhang \cite{HJ2} introduced the concept of Orlicz mixed $q$-torsional rigidity and obtained Orlicz $q$-torsional measure through the variational method for $q>1$. Specially, they established the functional Orlicz Brunn-Minkowski inequality and the functional Orlicz Minkowski inequality. Motivated by the remarkable work by Hu and Zhang in \cite{HJ2}, we can propose the Orlicz Minkowksi problem for $q$-torsional rigidity, and then confirm the existence of smooth even solutions to the Orlicz Minkowski problem for $q$-torsional rigidity with $q>1$ by method of a Gauss curvature flow.

Rigidity (electromagnetism)

Gaussian curvature

10.48550/arxiv.2404.19266

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The L_p Minkowski problem for q-torsional rigidity

Advances in Calculus of Variations (2022)

Bin Chen Xia Zhao Weidong Wang Peibiao Zhao

Abstract In this paper, we introduce the L p {L_{p}} q -torsional measure for p ∈ ℝ {p\in\mathbb{R}} and q > 1 {q>1} by the L p {L_{p}} variational formula for the q -torsional rigidity of convex bodies without smoothness conditions. Moreover, we achieve the existence of solutions to the L p {L_{p}} Minkowski problem with respect to the q -torsional rigidity for discrete measures and general measures when 0 < p < 1 {0<p<1} and q > 1 {q>1} .

10.1515/acv-2022-0041

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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

Open Mathematics (2020)

Xia Zhao Weidong Wang Youjiang Lin

Abstract In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial Blaschke-Minkowski homomorphisms. In addition, we consider its Shephard-type problems and give a positive form and a negative answer, respectively.

Duality (order theory)

Star (game theory)

10.1515/math-2020-0058

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Corrosion behavior of modified cement-based coated steel rebar subjected to different levels of tensile loads

Journal of Building Engineering (2024)

Liang Fan Guanhao Hou Xiufen Liao Huaishuai Shang Nazhen Liu

Rebar

10.1016/j.jobe.2024.109707

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Flow by Gauss curvature to the orlicz chord Minkowski problem

Annali di Matematica Pura ed Applicata (1923 -) (2024)

Xia Zhao Peibiao Zhao

Chord (peer-to-peer)

Gaussian curvature

10.1007/s10231-024-01448-w

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Some inequalities for the (p, q)-mixed affine surface areas

Quaestiones Mathematicae (2020)

Weidong Wang Xia Zhao

The notion of (p, q)-mixed volume was first introduced by Lutwak, Yang and Zhang in 2018. According to this concept, Li, Wang and Zhou defined the (p, q)- mixed aﬃne surface areas in 2019. In this paper, we establish some inequalities including cyclic inequality, monotonous inequality and product inequality for the (p, q)-mixed aﬃne surface areas.

10.2989/16073606.2020.1729270

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Thomsen-Li's Theorem Revisited

arXiv (Cornell University) (2018)

George A. Elliott Zhiqiang Li Xia Zhao

In this paper, we prove a general version of Thomsen-Li's Theorem--a Krein-Milman type theorem for C*-algebras. To be precise, for a Markov operator on $C[0,1]$ which preserves certain subspace of $C[0,1]$, we approximate it by an average of homomorphisms on $C[0,1]$ in the strong operator topology, additionally we require that this average also preserves the same subspace. Such results could be useful for constructing homomorphisms for subhomogeneous C*-algebras.

10.48550/arxiv.1808.10581

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Further improved Young inequalities for operators and matrices

Journal of Mathematical Inequalities (2017)

Xia Zhao Le Li Hongliang Zuo

In this paper, we show some improvement of Young inequalities for operators and matrix versions for the Hilbert-Schmidt norm.On the basis of an operator equality, we prove intrinsic conclusion by means of a different method with others' researches.Besides, we present some reverse Young inequalities for positive operators.

10.7153/jmi-2017-11-78

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Citations (4)