Browsing NTNU Open by Author "Wang, Xu"
Now showing items 1-16 of 16
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A remark on the Alexandrov–Fenchel inequality
Wang, Xu (Journal article; Peer reviewed, 2018)In this article, we give a complex-geometric proof of the Alexandrov–Fenchel inequality without using toric compactifications. The idea is to use the Legendre transform and develop the Brascamp–Lieb proof of the Prékopa ... -
ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES
Berndtsson, Bo; Pǎun, Mihai; Wang, Xu (Peer reviewed; Journal article, 2022) -
Cohomologies of complex manifolds with symplectic (1, 1)-forms
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2023)Let (X,J) be a complex manifold with a non-degenerated smooth d-closed (1,1)-form ω. Then we have a natural double complex ∂ +∂Λ, where ∂Λ denotes the symplectic adjoint of the ∂-operator. Westudy the Hard Lefschetz Condition ... -
Curvature of the base manifold of a Monge–Ampère fibration and its existence
Wan, Xueyuan; Wang, Xu (Journal article; Peer reviewed, 2022)In this paper, we consider a special relative Kähler fibration that satisfies a homogenous Monge–Ampère equation, which is called a Monge–Ampère fibration. There exist two canonical types of generalized Weil–Petersson ... -
A framework for predicting the local stress-strain behaviors of additively manufactured multiphase alloys in the sequential layers
Liu, Siqi; Lin, Meichao; Wang, Xu; Fu, Yuequn; Ren, Xiaobo; Zhang, Zhiliang; He, Jianying (Peer reviewed; Journal article, 2022)The additive manufacturing (AM) process often results in non-uniform microstructure and different mechanical properties in sequential layers, impacting the overall performance of the AM-ed component. However, it is extremely ... -
Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants
Luef, Franz; Wang, Xu (Peer reviewed; Journal article, 2023)We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kähler geometry such as Hörmander’s - estimate with singular weight, Demailly’s Calabi–Yau method for Kähler currents and a ... -
A Hilbert Bundles Description of Complex Brunn-Minkowski Theory
Nguyen, Tai Terje Huu (Doctoral theses at NTNU;2023:152, Doctoral thesis, 2023) -
A method for determining the ductile damage parameters of high strength steels and weld metal
Wang, Xu; Shuai, Jian; Ren, Wei; zhang, tieyao; He, Jianying; Zhang, Zhiliang (Peer reviewed; Journal article, 2023)The microvoid based Gurson-Tvergaard-Needleman (GTN) model is a powerful tool for predicting ductile fracture behavior, and application of such model to steels and welds needs the identification of microvoid related damage ... -
A microstructure informed and mixed-mode cohesive zone approach to simulating hydrogen embrittlement
Lin, Meichao; Yu, Haiyang; Wang, Xu; wang, ruijun; Ding, Yu; Alvaro, Antonio; Olden, Vigdis; He, Jianying; Zhang, Zhiliang (Peer reviewed; Journal article, 2022)Hydrogen induced failure under uniaxial tension is simulated in a duplex stainless steel considering microstructural feature of the material. There are three key ingredients in the modelling approach: image processing and ... -
A microstructure informed and mixed-mode cohesive zone approach to simulating hydrogen embrittlement
Lin, Meichao; Yu, Haiyang; Wang, Xu; wang, ruijun; Ding, Yu; Alvaro, Antonio; Olden, Vigdis; He, Jianying; Zhang, Zhiliang (Peer reviewed; Journal article, 2022)Hydrogen induced failure under uniaxial tension is simulated in a duplex stainless steel considering microstructural feature of the material. There are three key ingredients in the modelling approach: image processing and ... -
Numerical Simulation and Modelling Convention of Unsteady Fluidelastic Forces of Tube Arrays
Zhang, Mingjie; Wang, Xu; Øiseth, Ole Andre (Peer reviewed; Journal article, 2021)This paper presents a numerical investigation on the unsteady fluidelastic forces of tube arrays. The key focus is on the consistency between the unsteady fluidelastic force model and the quasi-steady model for tube arrays ... -
Numerical study on the strain capacity of girth-welded X80 grade pipes
Wang, Xu; Shuai, Jian; Zhang, Sheng-Zhu; Ren, Wei; Zhu, Xue-Ming (Peer reviewed; Journal article, 2022)Strain capacity is an important performance indicator for designing and evaluating high-grade steel pipelines. Due to the inhomogeneity of material properties in welded structures, girth welds are one of the main factors ... -
On a remark by Ohsawa related to the Berndtsson-Lempert method for L2-holomorphic extension
Nguyen, Tai Terje Huu; Wang, Xu (Journal article; Peer reviewed, 2022)In [15, Remark 4.1], Ohsawa asked whether it is possible to prove Theorem 4.1 and Theorem 0.1 in [15] using the Berndtsson–Lempert method. We shall answer Ohsawa’s question affirmatively in this paper. Our approach also ... -
On the equality case of the Alexandrov-Fenchel inequality
Evensen, Anders Krøger (Master thesis, 2023)Denne oppgaven omhandler Alexandrov-Fenchel ulikheten og dens likhets tilfelle. Vi viser til relevante resultater om Hodge-teori, $T$-Hodge-teori og rundt Delzant polytoper, varieteter og linjebunter. Vi avslutter oppgaven ... -
Some results on the Hard Lefschetz Condition
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2018)We discuss the Hard Lefschetz Condition (HLC) on various cohomology groups and verify them for the Nakamura manifold of completely solvable type and the Kodaira-Thurston manifold. A general Demailly-Griffiths-Kähler identity ... -
Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
Rollenske, Sonke; Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2019)In this paper, we obtain a vertical–horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems for cohomologies of nilmanifolds follow as applications.