Edit Profile (opens in new tab) Wang, Xiaoming Compute Distance To: Compute Author ID: wang.xiaoming Published as: Wang, Xiaoming; Wang, X. Further Spellings: 王晓明 Homepage: https://www.math.fsu.edu/~wxm/ External Links: MGP · Google Scholar Documents Indexed: 114 Publications since 1989, including 1 Book 2 Contributions as Editor Co-Authors: 54 Co-Authors with 76 Joint Publications 1,779 Co-Co-Authors all top 5 Co-Authors 23 single-authored 15 Temam, Roger Meyer 12 Chen, Wenbin 12 Gunzburger, Max D. 11 Han, Daozhi 10 Wang, Cheng 7 Majda, Andrew J. 7 Wise, Steven M. 5 Cao, Yanzhao 4 Cheng, Wenfang 4 Hua, Fei 3 Niu, Dongjuan 3 Sun, Dong 3 Tone, Florentina 3 Zada, Akbar 2 Fei, Mingwen 2 He, Xiaoming 2 Li, Weijia 2 Mazzucato, Anna L. 2 Miranville, Alain M. 2 Moise, Ioana 2 Rosa, Ricardo M. S. 2 Saka, Yuki 2 Shen, Jie 2 Wang, Shufen 2 Wirosoetisno, Djoko 2 Wu, Hao 1 Ahmad, Mansoor 1 Ai, Zhiyong 1 Alam, Mehboob 1 Ang, Wei Tech 1 Chen, Junbin 1 Chen, Nan 1 Chen, Qingshan 1 Conde, Sidafa 1 Diegel, Amanda E. 1 Doering, Charles Rogers 1 Gong, Diguang 1 Gottlieb, Sigal 1 Gruska, Jozef 1 Hsia, Chun-Hsiung 1 Hu, Xiaolong 1 Jing, Jianyu 1 Ju, Ning 1 Kan, G. Y. 1 Kelliher, James P. 1 Lee, Eunjung 1 Lee, Jung Rey 1 Li, Lvzhou 1 Li, Qin 1 Luo, Zhiwen 1 Lyu, Wenqi 1 McCurdy, Matthew 1 Moore, Nicholas J. 1 Qiu, Daowen 1 Rizwan, Rizwan 1 Shah, Syed Omar 1 Shi, Jin 1 Shim, Sang-Yeun 1 Souganidis, Panagiotis E. 1 Trenchea, Catalin 1 Vanden-Eijnden, Eric 1 Wang, Quan 1 Wang, Shouhong 1 Whitehead, Jared P. 1 Wu, Jiahong 1 Yan, Yue 1 Yu, Fang 1 Zhang, Yichao 1 Zhang, Zhifei 1 Zhang, Zhuying 1 Zhao, Hongyong 1 Zhao, Weidong 1 Zhao, Yongzhi 1 Zhu, Jianhong 1 Zhu, Linhe all top 5 Serials 8 Physica D 7 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 6 Journal of Scientific Computing 6 Discrete and Continuous Dynamical Systems 5 Applied Mathematics Letters 4 Journal of Differential Equations 4 Chinese Annals of Mathematics. Series B 3 Communications on Pure and Applied Mathematics 3 Indiana University Mathematics Journal 3 Methods and Applications of Analysis 3 Communications in Mathematical Sciences 2 Archives of Mechanics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Nonlinearity 2 Mathematics of Computation 2 Chinese Annals of Mathematics. Series A 2 Journal of Fudan University. Natural Science 2 Numerical Methods for Partial Differential Equations 2 Asymptotic Analysis 2 Differential and Integral Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Analysis and Applications (Singapore) 2 Scientia Sinica. Mathematica 2 AIMS Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archivum Mathematicum 1 Theoretical Computer Science 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Russian Journal of Mathematical Physics 1 Advances in Differential Equations 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Advances in Applied Mathematics and Mechanics 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Fields 79 Fluid mechanics (76-XX) 75 Partial differential equations (35-XX) 33 Numerical analysis (65-XX) 20 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 8 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 2,314 times in 1,138 Documents Cited by ▼ Year ▼ Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 168 2012 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001Majda, Andrew J.; Wang, Xiaoming 105 2006 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 104 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 100 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 97 2010 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213Han, Daozhi; Wang, Xiaoming 80 2015 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 77 1998 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 74 2014 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 73 2011 Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042Temam, R.; Wang, X. 71 2002 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 70 2012 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 68 2011 Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 06804021Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 61 2017 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372Wang, Xiaoming 58 1995 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 56 2014 On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127Temam, Roger; Wang, Xiaoming 50 1997 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 49 2013 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059Wang, Xiaoming 48 2001 Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 39 2004 Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. Zbl 1237.76033Gottlieb, S.; Tone, F.; Wang, C.; Wang, X.; Wirosoetisno, D. 36 2012 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240Wang, Xiaoming; Zhang, Zhifei 36 2013 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093Chen, Nan; Gunzburger, Max; Wang, Xiaoming 33 2010 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032Wang, Xiaoming 31 2004 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164Wang, Xiaoming; Wu, Hao 31 2012 A second order BDF numerical scheme with variable steps for the Cahn-Hilliard equation. Zbl 1435.65142Chen, Wenbin; Wang, Xiaoming; Yan, Yue; Zhang, Zhuying 28 2019 Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097Temam, Roger; Wang, Xiaoming 27 1996 Two-phase flows in karstic geometry. Zbl 1309.76204Han, Daozhi; Sun, Dong; Wang, Xiaoming 26 2014 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370Wang, Xiaoming 25 2009 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019Wang, Xiaoming 25 1997 Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry. Zbl 1302.35217Han, Daozhi; Wang, Xiaoming; Wu, Hao 24 2014 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112Temam, Roger; Wang, Xiaoming 23 1995 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 22 2016 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211Wang, Xiaoming 20 2010 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 19 2010 A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095Wang, Xiaoming 19 2005 An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations. Zbl 1435.76054Wang, Xiaoming 18 2012 Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. Zbl 1209.37102Kelliher, James P.; Temam, Roger; Wang, Xiaoming 17 2011 The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077Temam, R.; Wang, X. 17 1997 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158Han, Daozhi; Wang, Xiaoming 17 2018 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170Han, Daozhi; Wang, Xiaoming 15 2016 Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351Wang, Xiaoming 15 2008 Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 15 2012 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 15 2011 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017Temam, Roger; Wang, Xiaoming 15 1994 Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 14 2011 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018Temam, R.; Wang, X. 14 2000 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 1476.76089Chen, Wenbin; Han, Daozhi; Wang, Xiaoming 13 2017 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112Miranville, Alain; Wang, Xiaoming 12 1996 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 12 2000 A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming 12 2020 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098Miranville, A.; Wang, X. 11 1997 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006Wang, Xiaoming 11 2010 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 11 2020 Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199Wang, Xiaoming 10 2008 A remark on the characterization of the gradient of a distribution. Zbl 0797.46032Wang, Xiaoming 10 1993 Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming 10 2020 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077Wang, Xiaoming 9 2016 A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2008 A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2009 Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076Temam, Roger; Wang, Xiaoming 9 1997 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278Han, Daozhi; Wang, Xiaoming 8 2014 Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125Temam, Roger; Wang, Xiaoming 8 1997 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026Wang, Xiaoming 7 2000 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 7 2015 Approximation of the stationary statistical properties of the dynamical system generated by the two-dimensional Rayleigh-Bénard convection problem. Zbl 1231.65147Tone, Florentina; Wang, Xiaoming 7 2011 The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001Majda, Andrew J.; Wang, Xiaoming 7 2006 Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369Gunzburger, Max; Saka, Yuki; Wang, Xiaoming 7 2009 Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026Wang, Xiaoming 6 2004 A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302Wang, Xiaoming; Whitehead, Jared P. 6 2013 Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017Doering, Charles R.; Wang, Xiaoming 5 1998 Approximating stationary statistical properties. Zbl 1183.65171Wang, Xiaoming 5 2009 Convection in a coupled free flow-porous media system. Zbl 1425.76249McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 5 2019 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 4 2010 Selective decay for geophysical flows. Zbl 1197.76140Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming 4 2000 On a Burgers’ type equation. Zbl 1108.37052Hsia, Chun-Hsiung; Wang, Xiaoming 4 2006 Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328Cheng, Wenfang; Wang, Xiaoming 4 2007 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127Wang, Xiaoming 4 2010 Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064Fei, Mingwen; Han, Daozhi; Wang, Xiaoming 3 2017 Existence, uniqueness and stability of implicit switched coupled fractional differential equations of \(\psi \)-Hilfer type. Zbl 07336601Ahmad, Manzoor; Zada, Akbar; Wang, Xiaoming 3 2020 Boundary layers in channel flow with injection and suction. Zbl 0992.76026Temam, R.; Wang, X. 2 2001 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054Majda, Andrew; Wang, Xiaoming 2 2001 Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500Majda, Andrew; Wang, Xiaoming 2 2005 Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320Temam, Roger; Wang, Xiaoming 2 1997 Stability and bifurcation analysis in a delayed reaction-diffusion malware propagation model. Zbl 1443.68034Zhu, Linhe; Zhao, Hongyong; Wang, Xiaoming 2 2015 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. Zbl 1458.35323Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao 2 2020 A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients. Zbl 1457.74041Ang, W. T.; Wang, X. 2 2020 Boundary layer for chaffee-infante type equation. Zbl 0911.35012Temam, Roger; Wang, Xiaoming 1 1998 On operator valued roots of Abelian analytic functions. Zbl 0760.47007Wang, Xiaoming 1 1991 Stability of \(\theta \)-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type. Zbl 07474777Wang, Qi; Wang, Xiaoming 1 2019 A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming 12 2020 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 11 2020 Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming 10 2020 Existence, uniqueness and stability of implicit switched coupled fractional differential equations of \(\psi \)-Hilfer type. Zbl 07336601Ahmad, Manzoor; Zada, Akbar; Wang, Xiaoming 3 2020 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. Zbl 1458.35323Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao 2 2020 A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients. Zbl 1457.74041Ang, W. T.; Wang, X. 2 2020 A second order BDF numerical scheme with variable steps for the Cahn-Hilliard equation. Zbl 1435.65142Chen, Wenbin; Wang, Xiaoming; Yan, Yue; Zhang, Zhuying 28 2019 Convection in a coupled free flow-porous media system. Zbl 1425.76249McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 5 2019 Stability of \(\theta \)-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type. Zbl 07474777Wang, Qi; Wang, Xiaoming 1 2019 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158Han, Daozhi; Wang, Xiaoming 17 2018 Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 06804021Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 61 2017 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 1476.76089Chen, Wenbin; Han, Daozhi; Wang, Xiaoming 13 2017 Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064Fei, Mingwen; Han, Daozhi; Wang, Xiaoming 3 2017 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 22 2016 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170Han, Daozhi; Wang, Xiaoming 15 2016 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077Wang, Xiaoming 9 2016 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213Han, Daozhi; Wang, Xiaoming 80 2015 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 7 2015 Stability and bifurcation analysis in a delayed reaction-diffusion malware propagation model. Zbl 1443.68034Zhu, Linhe; Zhao, Hongyong; Wang, Xiaoming 2 2015 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 74 2014 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 56 2014 Two-phase flows in karstic geometry. Zbl 1309.76204Han, Daozhi; Sun, Dong; Wang, Xiaoming 26 2014 Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry. Zbl 1302.35217Han, Daozhi; Wang, Xiaoming; Wu, Hao 24 2014 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278Han, Daozhi; Wang, Xiaoming 8 2014 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 49 2013 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240Wang, Xiaoming; Zhang, Zhifei 36 2013 A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302Wang, Xiaoming; Whitehead, Jared P. 6 2013 Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 168 2012 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 70 2012 Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. Zbl 1237.76033Gottlieb, S.; Tone, F.; Wang, C.; Wang, X.; Wirosoetisno, D. 36 2012 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164Wang, Xiaoming; Wu, Hao 31 2012 An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations. Zbl 1435.76054Wang, Xiaoming 18 2012 Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 15 2012 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 73 2011 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 68 2011 Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. Zbl 1209.37102Kelliher, James P.; Temam, Roger; Wang, Xiaoming 17 2011 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 15 2011 Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 14 2011 Approximation of the stationary statistical properties of the dynamical system generated by the two-dimensional Rayleigh-Bénard convection problem. Zbl 1231.65147Tone, Florentina; Wang, Xiaoming 7 2011 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 104 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 100 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 97 2010 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093Chen, Nan; Gunzburger, Max; Wang, Xiaoming 33 2010 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211Wang, Xiaoming 20 2010 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 19 2010 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006Wang, Xiaoming 11 2010 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 4 2010 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127Wang, Xiaoming 4 2010 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370Wang, Xiaoming 25 2009 A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2009 Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369Gunzburger, Max; Saka, Yuki; Wang, Xiaoming 7 2009 Approximating stationary statistical properties. Zbl 1183.65171Wang, Xiaoming 5 2009 Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351Wang, Xiaoming 15 2008 Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199Wang, Xiaoming 10 2008 A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2008 Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328Cheng, Wenfang; Wang, Xiaoming 4 2007 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001Majda, Andrew J.; Wang, Xiaoming 105 2006 The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001Majda, Andrew J.; Wang, Xiaoming 7 2006 On a Burgers’ type equation. Zbl 1108.37052Hsia, Chun-Hsiung; Wang, Xiaoming 4 2006 A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095Wang, Xiaoming 19 2005 Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500Majda, Andrew; Wang, Xiaoming 2 2005 Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 39 2004 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032Wang, Xiaoming 31 2004 Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026Wang, Xiaoming 6 2004 Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042Temam, R.; Wang, X. 71 2002 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059Wang, Xiaoming 48 2001 Boundary layers in channel flow with injection and suction. Zbl 0992.76026Temam, R.; Wang, X. 2 2001 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054Majda, Andrew; Wang, Xiaoming 2 2001 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018Temam, R.; Wang, X. 14 2000 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 12 2000 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026Wang, Xiaoming 7 2000 Selective decay for geophysical flows. Zbl 1197.76140Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming 4 2000 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 77 1998 Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017Doering, Charles R.; Wang, Xiaoming 5 1998 Boundary layer for chaffee-infante type equation. Zbl 0911.35012Temam, Roger; Wang, Xiaoming 1 1998 On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127Temam, Roger; Wang, Xiaoming 50 1997 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019Wang, Xiaoming 25 1997 The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077Temam, R.; Wang, X. 17 1997 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098Miranville, A.; Wang, X. 11 1997 Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076Temam, Roger; Wang, Xiaoming 9 1997 Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125Temam, Roger; Wang, Xiaoming 8 1997 Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320Temam, Roger; Wang, Xiaoming 2 1997 Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097Temam, Roger; Wang, Xiaoming 27 1996 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112Miranville, Alain; Wang, Xiaoming 12 1996 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372Wang, Xiaoming 58 1995 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112Temam, Roger; Wang, Xiaoming 23 1995 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017Temam, Roger; Wang, Xiaoming 15 1994 A remark on the characterization of the gradient of a distribution. Zbl 0797.46032Wang, Xiaoming 10 1993 On operator valued roots of Abelian analytic functions. Zbl 0760.47007Wang, Xiaoming 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,224 Authors 50 Wang, Xiaoming 40 Majda, Andrew J. 39 Wang, Cheng 37 Yang, Xiaofeng 31 Temam, Roger Meyer 26 Chen, Wenbin 26 Wise, Steven M. 22 Han, Daozhi 22 Hou, Yanren 21 He, Xiaoming 21 Zhao, Jia 20 Wang, Qi 17 Jung, Changyeol 17 Zhao, Caidi 16 Layton, William J. 15 Zelik, Sergey V. 14 Shen, Jie 13 Gong, Yuezheng 13 Li, Jian 13 Łukaszewicz, Grzegorz 12 Gunzburger, Max D. 12 Qi, Di 12 Qiao, Zhonghua 12 Wang, Bixiang 12 Zuo, Liyun 11 Chen, Nan 11 Chen, Zhangxin 11 He, Yinnian 11 Li, Xiaoli 11 Zheng, Haibiao 10 Grasselli, Maurizio 10 Jia, Hongen 10 Zhang, Zhengru 9 Alouini, Brahim 9 Du, Guangzhi 9 Gao, Yali 9 Kim, Junseok 9 Titi, Edriss Saleh 9 Wang, Shu 8 Caraballo Garrido, Tomás 8 Doering, Charles Rogers 8 Gie, Gung-Min 8 Hamouda, Makram 8 Rosa, Ricardo M. S. 8 Yang, Xinguang 8 Zhou, Shengfan 7 Cheng, Kelong 7 Ervin, Vincent J. 7 Goubet, Olivier 7 Jiang, Nan 7 Liu, Wei 7 Lopes Filho, Milton da Costa 7 Mazzucato, Anna L. 7 Nussenzveig Lopes, Helena Judith 7 Shan, Li 7 Xin, Zhouping 7 Yang, Junxiang 6 Al Mahbub, Md. Abdullah 6 Chepyzhov, Vladimir V. 6 Feng, Wenqiang 6 Giorgini, Andrea 6 Harlim, John 6 Hong, Youngjoon 6 Huang, Yunqing 6 Il’in, Konstantin Ivanovich 6 Kelliher, James P. 6 Kou, Jisheng 6 Kukavica, Igor 6 Larios, Adam 6 Lee, Hyun Geun 6 Li, Xiao 6 Lowengrub, John Samuel 6 Morgulis, Andrey Borisovich 6 Qin, Yi 6 Qin, Yuming 6 Qiu, Changxin 6 Real Anguas, José 6 Rebholz, Leo G. 6 Shiue, Ming-Cheng 6 Sun, Shuyu 6 Tone, Florentina 6 Vicol, Vlad C. 6 Wang, Quan 6 Xiao, Yuelong 6 Xu, Chuanju 6 Yan, Xingjie 6 Yan, Yue 6 Zhong, Chengkui 5 Branicki, Michał 5 Chekroun, Mickaël D. 5 Chen, Chuanjun 5 Cheng, Qing 5 Frigeri, Sergio 5 Glatt-Holtz, Nathan E. 5 Iliescu, Traian 5 Ilyin, Alexei A. 5 Jolly, Michael S. 5 Li, Shishun 5 Li, Weijia 5 Li, Yibao ...and 1,124 more Authors all top 5 Cited in 181 Serials 75 Journal of Computational Physics 64 Journal of Scientific Computing 43 Journal of Differential Equations 41 Computer Methods in Applied Mechanics and Engineering 39 Journal of Computational and Applied Mathematics 35 Physica D 33 Computers & Mathematics with Applications 32 Applied Numerical Mathematics 28 Journal of Mathematical Analysis and Applications 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 SIAM Journal on Scientific Computing 21 Journal of Fluid Mechanics 21 Applied Mathematics Letters 21 Discrete and Continuous Dynamical Systems. Series B 20 Communications in Computational Physics 19 Numerische Mathematik 19 Journal of Mathematical Fluid Mechanics 16 Mathematical Methods in the Applied Sciences 16 Applied Mathematics and Computation 16 Numerical Methods for Partial Differential Equations 15 Communications in Nonlinear Science and Numerical Simulation 14 Journal of Mathematical Physics 14 SIAM Journal on Numerical Analysis 14 Chinese Annals of Mathematics. Series B 14 Nonlinear Analysis. Real World Applications 13 Discrete and Continuous Dynamical Systems 12 Journal of Nonlinear Science 11 Communications on Pure and Applied Analysis 10 Archive for Rational Mechanics and Analysis 10 Journal of Statistical Physics 10 Mathematics of Computation 10 Advances in Computational Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 International Journal of Numerical Analysis and Modeling 9 Advances in Applied Mathematics and Mechanics 8 Applicable Analysis 8 Communications in Mathematical Physics 8 Communications on Pure and Applied Mathematics 8 Asymptotic Analysis 7 Numerical Algorithms 7 SIAM Journal on Mathematical Analysis 7 Journal of Dynamics and Differential Equations 7 Abstract and Applied Analysis 6 Acta Applicandae Mathematicae 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Chaos 6 Research in the Mathematical Sciences 5 Computers and Fluids 5 Applied Mathematics and Optimization 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Journal of Evolution Equations 5 Analysis and Applications (Singapore) 5 Science China. Mathematics 4 Nonlinearity 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Physics of Fluids 4 European Journal of Mechanics. B. Fluids 4 Computational Geosciences 4 Boundary Value Problems 4 Journal of Applied Analysis and Computation 4 SIAM/ASA Journal on Uncertainty Quantification 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 International Journal for Numerical Methods in Engineering 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Acta Mathematicae Applicatae Sinica. English Series 3 European Journal of Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Communications in Partial Differential Equations 3 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Review 3 Stochastic Processes and their Applications 3 NoDEA. Nonlinear Differential Equations and Applications 3 Acta Mathematica Sinica. English Series 3 SIAM Journal on Applied Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 3 Electronic Research Archive 3 Results in Applied Mathematics 2 Inverse Problems 2 Advances in Mathematics 2 BIT 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Sciences (New York) 2 Advances in Differential Equations 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete Dynamics in Nature and Society 2 Differential Equations ...and 81 more Serials all top 5 Cited in 36 Fields 715 Partial differential equations (35-XX) 671 Fluid mechanics (76-XX) 509 Numerical analysis (65-XX) 139 Dynamical systems and ergodic theory (37-XX) 66 Probability theory and stochastic processes (60-XX) 64 Geophysics (86-XX) 62 Statistical mechanics, structure of matter (82-XX) 49 Mechanics of deformable solids (74-XX) 30 Ordinary differential equations (34-XX) 24 Classical thermodynamics, heat transfer (80-XX) 22 Systems theory; control (93-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Statistics (62-XX) 18 Biology and other natural sciences (92-XX) 9 Optics, electromagnetic theory (78-XX) 8 Operator theory (47-XX) 7 Real functions (26-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year