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: 104 Publications since 1989, including 1 Book 2 Contributions as Editor Co-Authors: 57 Co-Authors with 84 Joint Publications 1,941 Co-Co-Authors all top 5 Co-Authors 21 single-authored 15 Temam, Roger Meyer 14 Chen, Wenbin 12 Gunzburger, Max D. 12 Han, Daozhi 12 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 Wang, Shufen 3 Wu, Hao 2 Cao, Yining 2 Fei, Mingwen 2 He, Xiaoming 2 Jing, Jianyu 2 Li, Weijia 2 Lyu, Wenqi 2 Mazzucato, Anna L. 2 McCurdy, Matthew 2 Miranville, Alain M. 2 Moise, Ioana 2 Moore, Nicholas J. 2 Rosa, Ricardo M. S. 2 Saka, Yuki 2 Shen, Jie 2 Wirosoetisno, Djoko 2 Zhang, Yichao 1 Chen, Nan 1 Chen, Qingshan 1 Conde, Sidafa 1 Diegel, Amanda E. 1 Doering, Charles Rogers 1 Gottlieb, Sigal 1 Hsia, Chun-Hsiung 1 Hu, Xiaolong 1 Ju, Ning 1 Kelliher, James P. 1 Lee, Eunjung 1 Luo, Zhiwen 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 Xie, Jinhan 1 Yan, Yue 1 Zhang, Zhifei 1 Zhang, Zhuying 1 Zhao, Weidong all top 5 Serials 9 Physica D 7 SIAM Journal on Numerical Analysis 7 Journal of Scientific Computing 6 Numerische Mathematik 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 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Indiana University Mathematics Journal 3 Methods and Applications of Analysis 3 Communications in Mathematical Sciences 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 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Analysis and Applications (Singapore) 1 Applicable Analysis 1 IMA Journal of Numerical Analysis 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Advances in Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Research in the Mathematical Sciences all top 5 Fields 78 Fluid mechanics (76-XX) 76 Partial differential equations (35-XX) 34 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 2,652 times in 1,304 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. 200 2012 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001Majda, Andrew J.; Wang, Xiaoming 120 2006 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 116 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 113 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 109 2010 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213Han, Daozhi; Wang, Xiaoming 97 2015 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. 94 2012 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 86 2014 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 83 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. 80 2017 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 78 1998 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 78 2011 Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042Temam, R.; Wang, X. 73 2002 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. 63 2014 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372Wang, Xiaoming 61 1995 On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127Temam, Roger; Wang, Xiaoming 55 1997 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 55 2013 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059Wang, Xiaoming 51 2001 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. 46 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 43 2019 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240Wang, Xiaoming; Zhang, Zhifei 41 2013 Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 40 2004 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 35 2010 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164Wang, Xiaoming; Wu, Hao 35 2012 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032Wang, Xiaoming 33 2004 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370Wang, Xiaoming 30 2009 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019Wang, Xiaoming 29 1997 Two-phase flows in karstic geometry. Zbl 1309.76204Han, Daozhi; Sun, Dong; Wang, Xiaoming 29 2014 Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097Temam, Roger; Wang, Xiaoming 29 1996 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 27 2014 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 26 2016 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112Temam, Roger; Wang, Xiaoming 24 1995 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 24 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 23 2020 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211Wang, Xiaoming 21 2010 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158Han, Daozhi; Wang, Xiaoming 20 2018 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 20 2010 A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095Wang, Xiaoming 19 2005 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 18 2020 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 18 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 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170Han, Daozhi; Wang, Xiaoming 17 2016 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 17 2011 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017Temam, Roger; Wang, Xiaoming 16 1994 Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 16 2012 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 15 2017 Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351Wang, Xiaoming 15 2008 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 14 2000 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018Temam, R.; Wang, X. 14 2000 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 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098Miranville, A.; Wang, X. 12 1997 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112Miranville, Alain; Wang, Xiaoming 12 1996 Convection in a coupled free flow-porous media system. Zbl 1425.76249McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 11 2019 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006Wang, Xiaoming 11 2010 A remark on the characterization of the gradient of a distribution. Zbl 0797.46032Wang, Xiaoming 10 1993 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077Wang, Xiaoming 10 2016 Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199Wang, Xiaoming 10 2008 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 9 1997 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 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278Han, Daozhi; Wang, Xiaoming 9 2014 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026Wang, Xiaoming 8 2000 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 8 2015 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 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 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 On a Burgers’ type equation. Zbl 1108.37052Hsia, Chun-Hsiung; Wang, Xiaoming 5 2006 Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media. Zbl 1490.76097Han, Daozhi; Wang, Quan; Wang, Xiaoming 5 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 5 2020 Approximating stationary statistical properties. Zbl 1183.65171Wang, Xiaoming 5 2009 Selective decay for geophysical flows. Zbl 1197.76140Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming 4 2000 Stokes-Darcy system, small-Darcy-number behaviour and related interfacial conditions. Zbl 1502.76098Lyu, Wenqi; Wang, Xiaoming 4 2021 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127Wang, Xiaoming 4 2010 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 4 2010 Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328Cheng, Wenfang; Wang, Xiaoming 4 2007 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246Wang, Xiaoming; Wu, Hao 3 2021 Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064Fei, Mingwen; Han, Daozhi; Wang, Xiaoming 3 2017 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054Majda, Andrew; Wang, Xiaoming 2 2001 Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320Temam, Roger; Wang, Xiaoming 2 1997 Boundary layers in channel flow with injection and suction. Zbl 0992.76026Temam, R.; Wang, X. 2 2001 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 2 2022 A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming 2 2022 Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500Majda, Andrew; Wang, Xiaoming 2 2005 On operator valued roots of Abelian analytic functions. Zbl 0760.47007Wang, Xiaoming 1 1991 Boundary layer for chaffee-infante type equation. Zbl 0911.35012Temam, Roger; Wang, Xiaoming 1 1998 The Beavers-Joseph interface boundary condition is well approximated by the Beavers-Joseph-Saffman-Jones interface boundary condition. Zbl 1498.35381Cao, Yining; Wang, Xiaoming 1 2022 Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming 1 2022 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 2 2022 A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming 2 2022 The Beavers-Joseph interface boundary condition is well approximated by the Beavers-Joseph-Saffman-Jones interface boundary condition. Zbl 1498.35381Cao, Yining; Wang, Xiaoming 1 2022 Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming 1 2022 Stokes-Darcy system, small-Darcy-number behaviour and related interfacial conditions. Zbl 1502.76098Lyu, Wenqi; Wang, Xiaoming 4 2021 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246Wang, Xiaoming; Wu, Hao 3 2021 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 24 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 23 2020 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 18 2020 Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media. Zbl 1490.76097Han, Daozhi; Wang, Quan; Wang, Xiaoming 5 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 5 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 43 2019 Convection in a coupled free flow-porous media system. Zbl 1425.76249McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 11 2019 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158Han, Daozhi; Wang, Xiaoming 20 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. 80 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 15 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 26 2016 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170Han, Daozhi; Wang, Xiaoming 17 2016 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077Wang, Xiaoming 10 2016 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213Han, Daozhi; Wang, Xiaoming 97 2015 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 8 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 86 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. 63 2014 Two-phase flows in karstic geometry. Zbl 1309.76204Han, Daozhi; Sun, Dong; Wang, Xiaoming 29 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 27 2014 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278Han, Daozhi; Wang, Xiaoming 9 2014 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 55 2013 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240Wang, Xiaoming; Zhang, Zhifei 41 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. 200 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. 94 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. 46 2012 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164Wang, Xiaoming; Wu, Hao 35 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 16 2012 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 83 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 78 2011 Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. Zbl 1209.37102Kelliher, James P.; Temam, Roger; Wang, Xiaoming 18 2011 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 17 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 116 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 113 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 109 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 35 2010 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211Wang, Xiaoming 21 2010 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 20 2010 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006Wang, Xiaoming 11 2010 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127Wang, Xiaoming 4 2010 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 4 2010 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370Wang, Xiaoming 30 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 120 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 5 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 40 2004 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032Wang, Xiaoming 33 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. 73 2002 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059Wang, Xiaoming 51 2001 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054Majda, Andrew; Wang, Xiaoming 2 2001 Boundary layers in channel flow with injection and suction. Zbl 0992.76026Temam, R.; Wang, X. 2 2001 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 14 2000 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018Temam, R.; Wang, X. 14 2000 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026Wang, Xiaoming 8 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 78 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 55 1997 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019Wang, Xiaoming 29 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. 12 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 9 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 29 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 61 1995 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112Temam, Roger; Wang, Xiaoming 24 1995 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017Temam, Roger; Wang, Xiaoming 16 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 1,455 Authors 57 Wang, Xiaoming 50 Wang, Cheng 44 Yang, Xiaofeng 40 Majda, Andrew J. 32 Temam, Roger Meyer 30 Wise, Steven M. 28 Chen, Wenbin 28 Zhao, Jia 26 Wang, Qi 24 He, Xiaoming 23 Hou, Yanren 22 Han, Daozhi 18 Jung, Changyeol 18 Li, Jian 17 Zhao, Caidi 16 Layton, William J. 15 Gong, Yuezheng 15 Qiao, Zhonghua 15 Zelik, Sergey V. 14 Kim, Junseok 14 Shen, Jie 14 Zheng, Haibiao 13 Chen, Zhangxin 13 He, Yinnian 13 Li, Rui 13 Łukaszewicz, Grzegorz 13 Zuo, Liyun 12 Gunzburger, Max D. 12 Jia, Hongen 12 Qi, Di 12 Wang, Bixiang 12 Zhang, Jun 12 Zhang, Zhengru 11 Chen, Nan 11 Du, Guangzhi 11 Li, Xiaoli 10 Chen, Chuanjun 10 Grasselli, Maurizio 10 Liao, HongLin 10 Yang, Junxiang 10 Zhang, Hui 9 Al Mahbub, Md. Abdullah 9 Alouini, Brahim 9 Caraballo Garrido, Tomás 9 Gao, Yali 9 Gie, Gung-Min 9 Jiang, Nan 9 Li, Yibao 9 Qin, Yi 9 Titi, Edriss Saleh 9 Wang, Shu 8 Cheng, Kelong 8 Doering, Charles Rogers 8 Hamouda, Makram 8 Ju, Lili 8 Li, Xiao 8 Rosa, Ricardo M. S. 8 Yang, Xinguang 8 Zhou, Shengfan 7 Ervin, Vincent J. 7 Goubet, Olivier 7 Harlim, John 7 Ji, Bingquan 7 Lee, Hyun Geun 7 Liu, Wei 7 Lopes Filho, Milton da Costa 7 Mazzucato, Anna L. 7 Nussenzveig Lopes, Helena Judith 7 Shan, Li 7 Wang, Quan 7 Wu, Hao 7 Xin, Zhouping 7 Yan, Wenjing 6 Chepyzhov, Vladimir V. 6 Feng, Wenqiang 6 Feng, Xinlong 6 Giorgini, Andrea 6 Hong, Youngjoon 6 Huang, Yunqing 6 Iliescu, Traian 6 Il’in, Konstantin Ivanovich 6 Kelliher, James P. 6 Kou, Jisheng 6 Kukavica, Igor 6 Larios, Adam 6 Lee, Chaeyoung 6 Li, Yi 6 Liu, Chun 6 Liu, Zhengguang 6 Lowengrub, John Samuel 6 Mei, Liquan 6 Morgulis, Andrey Borisovich 6 Qin, Yuming 6 Qiu, Changxin 6 Real Anguas, José 6 Rebholz, Leo G. 6 Rui, Hongxing 6 Sammartino, Marco Maria Luigi 6 Shi, Feng 6 Shiue, Ming-Cheng ...and 1,355 more Authors all top 5 Cited in 200 Serials 96 Journal of Computational Physics 78 Journal of Scientific Computing 49 Journal of Computational and Applied Mathematics 45 Computers & Mathematics with Applications 45 Computer Methods in Applied Mechanics and Engineering 45 Journal of Differential Equations 38 Physica D 35 Applied Numerical Mathematics 31 Journal of Mathematical Analysis and Applications 30 SIAM Journal on Scientific Computing 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Discrete and Continuous Dynamical Systems. Series B 24 Journal of Fluid Mechanics 22 Applied Mathematics Letters 21 Communications in Nonlinear Science and Numerical Simulation 20 Applied Mathematics and Computation 20 Journal of Mathematical Fluid Mechanics 20 Communications in Computational Physics 19 Numerische Mathematik 19 SIAM Journal on Numerical Analysis 16 Journal of Mathematical Physics 16 Mathematical Methods in the Applied Sciences 16 Numerical Methods for Partial Differential Equations 14 Chinese Annals of Mathematics. Series B 14 Nonlinear Analysis. Real World Applications 13 Journal of Nonlinear Science 13 Discrete and Continuous Dynamical Systems 12 Advances in Computational Mathematics 11 Archive for Rational Mechanics and Analysis 11 Journal of Statistical Physics 11 Mathematics of Computation 11 Communications on Pure and Applied Analysis 11 International Journal of Numerical Analysis and Modeling 11 Advances in Applied Mathematics and Mechanics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Applicable Analysis 9 Asymptotic Analysis 8 Communications in Mathematical Physics 8 Communications on Pure and Applied Mathematics 8 Numerical Algorithms 8 Science China. Mathematics 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applied Mathematics and Optimization 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Computational Geosciences 5 Journal of Evolution Equations 5 Analysis and Applications (Singapore) 5 Discrete and Continuous Dynamical Systems. Series S 4 Geophysical and Astrophysical Fluid Dynamics 4 Nonlinearity 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 European Journal of Applied Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Physics of Fluids 4 European Journal of Mechanics. B. Fluids 4 Boundary Value Problems 4 Journal of Applied Analysis and Computation 4 SIAM/ASA Journal on Uncertainty Quantification 4 AIMS Mathematics 4 Results in Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Acta Mathematicae Applicatae Sinica. English Series 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 Journal on Applied Mathematics 3 SIAM Review 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 3 Computational and Applied Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Acta Mathematica Sinica. English Series 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Numerical Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Evolution Equations and Control Theory 3 East Asian Journal on Applied Mathematics 3 International Journal of Applied and Computational Mathematics 3 Electronic Research Archive 2 Inverse Problems 2 Advances in Mathematics 2 Calcolo 2 Numerical Functional Analysis and Optimization ...and 100 more Serials all top 5 Cited in 39 Fields 825 Partial differential equations (35-XX) 752 Fluid mechanics (76-XX) 627 Numerical analysis (65-XX) 149 Dynamical systems and ergodic theory (37-XX) 74 Geophysics (86-XX) 71 Probability theory and stochastic processes (60-XX) 69 Statistical mechanics, structure of matter (82-XX) 63 Mechanics of deformable solids (74-XX) 35 Ordinary differential equations (34-XX) 30 Classical thermodynamics, heat transfer (80-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 22 Statistics (62-XX) 22 Biology and other natural sciences (92-XX) 10 Real functions (26-XX) 10 Optics, electromagnetic theory (78-XX) 9 Operator theory (47-XX) 8 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 7 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 6 Astronomy and astrophysics (85-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 4 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year