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Navier-Stokes-Darcy模型强解的局部适定性: 《纯粹数学与应用数学》2025年第1期58-70,共13页高宁宁徐夫义; 国家自然科学基金项目(11771043).; 本文研究三维空间中水平方向无限的条形区域下,Navier-Stokes-Darcy模型强解的局部适定性.主要基于方程的结构和一些插值不等式建立方程组的先验估计,进而利用标准的迭代方法证明解的局部适定性.其中,Dirichlet-Neumann算子的性质在证...; 关键词：Navier-Stokes-Darcy模型 Dirichlet-Neumann算子插值不等式

Hygro-Thermo-Mechanical Equivalent Layer-Wise Theory of Laminated Shell Structures: 《Computer Modeling in Engineering & Sciences》2025年第2期1697-1765,共69页Francesco Tornabene Matteo Viscoti Rossana Dimitri; funded by the Project PNRR M4C2—Innovation grant DIRECT:Digital twIns foR EmergenCy supporT—CUP F83C22000740001.; This study presents a generalized two-dimensional model for evaluating the stationary hygro-thermo-mechanical response of laminated shell structures made of advanced materials.It introduces a generalized kinematic mod...; 关键词：Dufour and Soret effects equivalent layer-wise hygro-thermal analysis generalized differential quadrature Navier solution smart structures

Magneto-Electro-Elastic Analysis of Doubly-Curved Shells: Higher-Order Equivalent Layer-Wise Formulation: 《Computer Modeling in Engineering & Sciences》2025年第2期1767-1838,共72页Francesco Tornabene Matteo Viscoti Rossana Dimitri; funded by the Project PNRR M4C2—Innovation Grant DIRECT:Digital twIns foR EmergenCy supporT—CUP F83C22000740001.; Recent engineering applications increasingly adopt smart materials,whose mechanical responses are sensitive to magnetic and electric fields.In this context,new and computationally efficient modeling strategies are ess...; 关键词：Magneto-electro-elastic materials equivalent layer-wise generalized differential quadrature higher-order theories navier solution recovery procedure smart structures

Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System: 《Acta Mathematica Sinica,English Series》2024年第8期2037-2064,共28页Chang Ming SONG Jian Lin ZHANG Yuan Yuan WANG; Supported by the NNSF of China(Grant Nos.12171438,11801133);the Natural Science Foundation of Henan Province(Grant No.152300410227);the grant from the Special Project of Basic Scientific Research Business Expenses of Zhongyuan University of Technology(Grant No.K2020TD004)。; In this paper,we consider the global spherically symmetric solutions for the initial boundary value problem of a coupled compressible Navier–Stokes/Allen–Cahn system which describes the motion of two-phase viscous c...; 关键词：Diffuse interface model global solutions Navier-Stokes equations Allen-Cahn equation spherically symmetry

R_(+)^(N)上不同阶椭圆方程组的Liouville型定理: 《应用数学》2024年第2期482-488,共7页赵围围邵晓翎胡昌慧程之羽; Supported by the National Natural Science Foundation of China (62262012);the Foundation of Hainan University (KYQD22094, KYQD23050);Hainan Provincial Natural Science Foundation of China(124QN176)。; 本文研究带Navier边值的不同阶椭圆方程组的Liouville型问题.主要结论的证明采用了伸缩变换,双边引理和积分形式的移动平面方法.; 关键词：不同阶椭圆方程 LIOUVILLE型定理 Navier边值

Constrained re-calibration of two-equation Reynolds-averaged Navier–Stokes models: 《Theoretical & Applied Mechanics Letters》2024年第2期82-89,共8页Yuanwei Bin Xiaohan Hu Jiaqi Li Samuel J.Grauer Xiang I.A.Yang; supported by the Air Force Office of Scientific Research(Grant No.FA9550-23-1-0272);the National Natural Science Foundation of China(Grant Nos.11988102 and 91752202).; Machine-learned augmentations to turbulence models can be advantageous for flows within the training dataset but can often cause harm outside.This lack of generalizability arises because the constants(as well as the f...; 关键词：Machine learning Turbulence modeling Reynolds-averaged Navier-Stokes

使用基于物理信息的卷积神经网络求解Navier–Stokes方程的物理合理且守恒解: 《中国科学技术大学学报》2024年第4期24-35,23,66,67,共15页李健枫周良滢孙经纬孙广中; supported by the National Natural Science Foundation of China(12171451);Anhui Center for Applied Mathematics。; 基于物理信息的神经网络方法(PINN)是一种使用神经网络有效求解偏微分方程(PDEs)的新兴方法。基于物理信息的卷积神经网络方法(PICNN)是一种由卷积神经网络(CNNs)增强的PINN的变体。由于卷积神经网络的参数共享特性可以有效地学习空间...; 关键词：有限体积法纳维-斯托克斯方程偏微分方程基于物理信息的卷积神经网络

On Leray's problem in an infinitely long pipe with the Navier-slip boundary condition: 《Science China Mathematics》2024年第4期819-854,共36页Zijin Li Xinghong Pan Jiaqi Yang; supported by Natural Science Foundation of Jiangsu Province(Grant No.BK20200803);National Natural Science Foundation of China(Grant No.12001285);supported by National Natural Science Foundation of China(Grant Nos.11801268 and 12031006);supported by National Natural Science Foundation of China(Grant No.12001429)。; The original Leray’s problem concerns the well-posedness of weak solutions to the steady incompressible Navier-Stokes equations in a distorted pipe,which approach the Poiseuille flow subject to the no-slip boundary c...; 关键词：stationary Navier-Stokes system Navier-slip boundary condition Leray's problem

Structural uncertainty quantification of Reynolds-Averaged Navier–Stokes closures for various shock-wave/boundary layer interaction flows: 《Chinese Journal of Aeronautics》2024年第3期34-48,共15页Fanzhi ZENG Tianxin ZHANG Denggao TANG Jinping LI Chao YAN; supported by the National Natural Science Foundation of China(Nos.92252201 and 11721202)。; Accurate prediction of Shock-Wave/Boundary Layer Interaction(SWBLI)flows has been a persistent challenge for linear eddy viscosity models.A major limitation lies in the isotropic representation of the Reynolds stress,...; 关键词：Shock-wave/boundary layer interaction(SWBLI) Turbulence models Uncertainty analysis Eigenspace perturbation Anisotropy

带Navier边界条件的广义随机Navier-Stokes方程解的适定性: 《吉首大学学报（自然科学版）》2024年第1期13-18,共6页薛媛媛江珊; 对于有界区域二维随机Navier-Stokes方程(有界区域的边界条件为Navier滑移边界条件),给出了该方程弱解在L^(2)和L^(4)中的先验估计,证明了非线性项的单调性,并利用经典的Minty-Browder方法证明了方程随机弱解的整体存在性和唯一性.; 关键词：Navier滑移边界条件阻尼项随机NAVIER-STOKES方程适定性

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