Edit Profile (opens in new tab) Wang, Xiaoming Co-Author Distance 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: 110 Publications since 1989, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 57 Co-Authors with 89 Joint Publications 1,950 Co-Co-Authors all top 5 Co-Authors 21 single-authored 17 Chen, Wenbin 15 Temam, Roger Meyer 13 Han, Daozhi 12 Gunzburger, Max D. 12 Wang, Cheng 8 Wise, Steven M. 7 Majda, Andrew J. 5 Cao, Yanzhao 4 Cheng, Wenfang 4 Hua, Fei 4 Wang, Shufen 3 Cao, Yining 3 Lyu, Wenqi 3 Niu, Dongjuan 3 Sun, Dong 3 Tone, Florentina 3 Wu, Hao 3 Zhang, Yichao 2 Fei, Mingwen 2 He, Xiaoming 2 Jing, Jianyu 2 Li, Weijia 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 1 Awan, Khalid Mahmood 1 Chen, Qingshan 1 Conde, Sidafa 1 Diegel, Amanda E. 1 Ditta, Allah 1 Doering, Charles Rogers 1 Gottlieb, Sigal 1 Hsia, Chun-Hsiung 1 Hu, Xiaolong 1 Ju, Ning 1 Kelliher, James P. 1 Khan, Khuram Ali 1 Lee, Eunjung 1 Luo, Zhiwen 1 Mabela, Rostin Matendo 1 Niu, Weisheng 1 Nosheen, Ammara 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 Nonlinearity 3 Indiana University Mathematics Journal 3 Numerical Methods for Partial Differential Equations 3 Methods and Applications of Analysis 3 Communications in Mathematical Sciences 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Chinese Annals of Mathematics. Series A 2 Journal of Fudan University. Natural Science 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 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 Journal of Computational Physics: X all top 5 Fields 80 Partial differential equations (35-XX) 80 Fluid mechanics (76-XX) 36 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 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-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 95 Publications have been cited 3,097 times in 1,532 Documents Cited by ▼ Year ▼ Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088 Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 254 2012 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 132 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166 Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 129 2010 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001 Majda, Andrew J.; Wang, Xiaoming 126 2006 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040 Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 125 2010 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213 Han, Daozhi; Wang, Xiaoming 119 2015 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007 Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 111 2012 Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 1523.65081 Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 109 2017 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 100 2014 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017 Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 95 2011 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 90 2011 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 80 1998 Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042 Temam, R.; Wang, X. 79 2002 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034 Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 74 2014 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 68 2013 On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127 Temam, Roger; Wang, Xiaoming 62 1997 A second order BDF numerical scheme with variable steps for the Cahn-Hilliard equation. Zbl 1435.65142 Chen, Wenbin; Wang, Xiaoming; Yan, Yue; Zhang, Zhuying 62 2019 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059 Wang, Xiaoming 61 2001 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372 Wang, Xiaoming 61 1995 Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. Zbl 1237.76033 Gottlieb, S.; Tone, F.; Wang, C.; Wang, X.; Wirosoetisno, D. 57 2012 Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 47 2004 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240 Wang, Xiaoming; Zhang, Zhifei 42 2013 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370 Wang, Xiaoming 41 2009 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093 Chen, Nan; Gunzburger, Max; Wang, Xiaoming 39 2010 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032 Wang, Xiaoming 36 2004 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164 Wang, Xiaoming; Wu, Hao 35 2012 A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149 Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming 34 2020 Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry. Zbl 1302.35217 Han, Daozhi; Wang, Xiaoming; Wu, Hao 33 2014 Two-phase flows in karstic geometry. Zbl 1309.76204 Han, Daozhi; Sun, Dong; Wang, Xiaoming 33 2014 Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097 Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming 33 2020 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 31 2016 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098 Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 31 2020 Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097 Temam, Roger; Wang, Xiaoming 30 1996 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019 Wang, Xiaoming 29 1997 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158 Han, Daozhi; Wang, Xiaoming 26 2018 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112 Temam, Roger; Wang, Xiaoming 24 1995 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211 Wang, Xiaoming 23 2010 Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. Zbl 1209.37102 Kelliher, James P.; Temam, Roger; Wang, Xiaoming 22 2011 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 1476.76089 Chen, Wenbin; Han, Daozhi; Wang, Xiaoming 20 2017 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170 Han, Daozhi; Wang, Xiaoming 20 2016 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109 Majda, Andrew; Wang, Xiaoming 20 2010 A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095 Wang, Xiaoming 19 2005 An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations. Zbl 1435.76054 Wang, Xiaoming 19 2012 The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077 Temam, R.; Wang, X. 18 1997 Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351 Wang, Xiaoming 18 2008 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125 Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 17 2011 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106 Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 16 2000 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017 Temam, Roger; Wang, Xiaoming 16 1994 Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159 Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 16 2012 Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 15 2011 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112 Miranville, Alain; Wang, Xiaoming 14 1996 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018 Temam, R.; Wang, X. 14 2000 A remark on the characterization of the gradient of a distribution. Zbl 0797.46032 Wang, Xiaoming 14 1993 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098 Miranville, A.; Wang, X. 14 1997 Convection in a coupled free flow-porous media system. Zbl 1425.76249 McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 13 2019 Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199 Wang, Xiaoming 12 2008 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006 Wang, Xiaoming 11 2010 Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076 Temam, Roger; Wang, Xiaoming 10 1997 Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125 Temam, Roger; Wang, Xiaoming 10 1997 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077 Wang, Xiaoming 10 2016 A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110 Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2008 A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119 Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2009 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026 Wang, Xiaoming 8 2000 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278 Han, Daozhi; Wang, Xiaoming 8 2014 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092 Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 8 2015 Approximation of the stationary statistical properties of the dynamical system generated by the two-dimensional Rayleigh-Bénard convection problem. Zbl 1231.65147 Tone, Florentina; Wang, Xiaoming 8 2011 Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369 Gunzburger, Max; Saka, Yuki; Wang, Xiaoming 8 2009 Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204 Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming 8 2022 Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media. Zbl 1490.76097 Han, Daozhi; Wang, Quan; Wang, Xiaoming 8 2020 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157 Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 8 2022 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. Zbl 1458.35323 Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao 8 2020 A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302 Wang, Xiaoming; Whitehead, Jared P. 7 2013 The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001 Majda, Andrew J.; Wang, Xiaoming 7 2006 Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026 Wang, Xiaoming 6 2004 Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017 Doering, Charles R.; Wang, Xiaoming 5 1998 On a Burgers’ type equation. Zbl 1108.37052 Hsia, Chun-Hsiung; Wang, Xiaoming 5 2006 Approximating stationary statistical properties. Zbl 1183.65171 Wang, Xiaoming 5 2009 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077 Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 5 2010 Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328 Cheng, Wenfang; Wang, Xiaoming 5 2007 Stokes-Darcy system, small-Darcy-number behaviour and related interfacial conditions. Zbl 1502.76098 Lyu, Wenqi; Wang, Xiaoming 5 2021 Selective decay for geophysical flows. Zbl 1197.76140 Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming 4 2000 Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. Zbl 07785514 Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 4 2019 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127 Wang, Xiaoming 4 2010 A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024 Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming 4 2022 Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320 Temam, Roger; Wang, Xiaoming 3 1997 Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064 Fei, Mingwen; Han, Daozhi; Wang, Xiaoming 3 2017 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246 Wang, Xiaoming; Wu, Hao 3 2021 The Beavers-Joseph interface boundary condition is well approximated by the Beavers-Joseph-Saffman-Jones interface boundary condition. Zbl 1498.35381 Cao, Yining; Wang, Xiaoming 3 2022 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054 Majda, Andrew; Wang, Xiaoming 2 2001 Boundary layers in channel flow with injection and suction. Zbl 0992.76026 Temam, R.; Wang, X. 2 2001 Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500 Majda, Andrew; Wang, Xiaoming 2 2005 Boundary layer for chaffee-infante type equation. Zbl 0911.35012 Temam, Roger; Wang, Xiaoming 1 1998 Dynamic inversion characteristics of composite reinforced tubes. Zbl 1406.74164 Guo, D.; Fang, C. Q.; Wang, X.; Lu, G. 1 2017 On operator valued roots of Abelian analytic functions. Zbl 0760.47007 Wang, Xiaoming 1 1991 Predicting convection configurations in coupled fluid-porous systems. Zbl 1517.76028 Mccurdy, Matthew; Moore, Nicholas J.; Wang, Xiaoming 1 2022 Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204 Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming 8 2022 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157 Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 8 2022 A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024 Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming 4 2022 The Beavers-Joseph interface boundary condition is well approximated by the Beavers-Joseph-Saffman-Jones interface boundary condition. Zbl 1498.35381 Cao, Yining; Wang, Xiaoming 3 2022 Predicting convection configurations in coupled fluid-porous systems. Zbl 1517.76028 Mccurdy, Matthew; Moore, Nicholas J.; Wang, Xiaoming 1 2022 Stokes-Darcy system, small-Darcy-number behaviour and related interfacial conditions. Zbl 1502.76098 Lyu, Wenqi; Wang, Xiaoming 5 2021 Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows. Zbl 1500.35246 Wang, Xiaoming; Wu, Hao 3 2021 A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149 Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming 34 2020 Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097 Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming 33 2020 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098 Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 31 2020 Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media. Zbl 1490.76097 Han, Daozhi; Wang, Quan; Wang, Xiaoming 8 2020 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. Zbl 1458.35323 Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao 8 2020 A second order BDF numerical scheme with variable steps for the Cahn-Hilliard equation. Zbl 1435.65142 Chen, Wenbin; Wang, Xiaoming; Yan, Yue; Zhang, Zhuying 62 2019 Convection in a coupled free flow-porous media system. Zbl 1425.76249 McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming 13 2019 Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. Zbl 07785514 Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 4 2019 A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158 Han, Daozhi; Wang, Xiaoming 26 2018 Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 1523.65081 Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 109 2017 Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 1476.76089 Chen, Wenbin; Han, Daozhi; Wang, Xiaoming 20 2017 Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064 Fei, Mingwen; Han, Daozhi; Wang, Xiaoming 3 2017 Dynamic inversion characteristics of composite reinforced tubes. Zbl 1406.74164 Guo, D.; Fang, C. Q.; Wang, X.; Lu, G. 1 2017 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 31 2016 Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170 Han, Daozhi; Wang, Xiaoming 20 2016 Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077 Wang, Xiaoming 10 2016 A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213 Han, Daozhi; Wang, Xiaoming 119 2015 Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092 Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko 8 2015 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 100 2014 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034 Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 74 2014 Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry. Zbl 1302.35217 Han, Daozhi; Wang, Xiaoming; Wu, Hao 33 2014 Two-phase flows in karstic geometry. Zbl 1309.76204 Han, Daozhi; Sun, Dong; Wang, Xiaoming 33 2014 Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278 Han, Daozhi; Wang, Xiaoming 8 2014 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 68 2013 Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240 Wang, Xiaoming; Zhang, Zhifei 42 2013 A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302 Wang, Xiaoming; Whitehead, Jared P. 7 2013 Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088 Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 254 2012 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007 Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 111 2012 Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. Zbl 1237.76033 Gottlieb, S.; Tone, F.; Wang, C.; Wang, X.; Wirosoetisno, D. 57 2012 Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164 Wang, 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 1435.76054 Wang, Xiaoming 19 2012 Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159 Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming 16 2012 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017 Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 95 2011 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 90 2011 Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. Zbl 1209.37102 Kelliher, James P.; Temam, Roger; Wang, Xiaoming 22 2011 Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125 Mazzucato, 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 1282.76172 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 15 2011 Approximation of the stationary statistical properties of the dynamical system generated by the two-dimensional Rayleigh-Bénard convection problem. Zbl 1231.65147 Tone, Florentina; Wang, Xiaoming 8 2011 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 132 2010 Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166 Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 129 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040 Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 125 2010 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093 Chen, Nan; Gunzburger, Max; Wang, Xiaoming 39 2010 Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211 Wang, Xiaoming 23 2010 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109 Majda, Andrew; Wang, Xiaoming 20 2010 On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006 Wang, Xiaoming 11 2010 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077 Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 5 2010 Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127 Wang, Xiaoming 4 2010 Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370 Wang, Xiaoming 41 2009 A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119 Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2009 Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369 Gunzburger, Max; Saka, Yuki; Wang, Xiaoming 8 2009 Approximating stationary statistical properties. Zbl 1183.65171 Wang, Xiaoming 5 2009 Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351 Wang, Xiaoming 18 2008 Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199 Wang, Xiaoming 12 2008 A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110 Cheng, Wenfang (Wendy); Wang, Xiaoming 9 2008 Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328 Cheng, Wenfang; Wang, Xiaoming 5 2007 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001 Majda, Andrew J.; Wang, Xiaoming 126 2006 The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001 Majda, Andrew J.; Wang, Xiaoming 7 2006 On a Burgers’ type equation. Zbl 1108.37052 Hsia, Chun-Hsiung; Wang, Xiaoming 5 2006 A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095 Wang, Xiaoming 19 2005 Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500 Majda, Andrew; Wang, Xiaoming 2 2005 Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 47 2004 Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032 Wang, Xiaoming 36 2004 Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026 Wang, Xiaoming 6 2004 Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042 Temam, R.; Wang, X. 79 2002 A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059 Wang, Xiaoming 61 2001 The selective decay principle for barotropic geophysical flows. Zbl 1021.76054 Majda, Andrew; Wang, Xiaoming 2 2001 Boundary layers in channel flow with injection and suction. Zbl 0992.76026 Temam, R.; Wang, X. 2 2001 New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106 Cheng, Wenfang; Temam, Roger; Wang, Xiaoming 16 2000 Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018 Temam, R.; Wang, X. 14 2000 Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026 Wang, Xiaoming 8 2000 Selective decay for geophysical flows. Zbl 1197.76140 Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming 4 2000 Attractors for non-compact semigroups via energy equations. Zbl 0914.35023 Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming 80 1998 Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017 Doering, Charles R.; Wang, Xiaoming 5 1998 Boundary layer for chaffee-infante type equation. Zbl 0911.35012 Temam, Roger; Wang, Xiaoming 1 1998 On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127 Temam, Roger; Wang, Xiaoming 62 1997 Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\). Zbl 0897.76019 Wang, Xiaoming 29 1997 The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077 Temam, R.; Wang, X. 18 1997 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098 Miranville, A.; Wang, X. 14 1997 Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076 Temam, Roger; Wang, Xiaoming 10 1997 Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125 Temam, Roger; Wang, Xiaoming 10 1997 Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320 Temam, Roger; Wang, Xiaoming 3 1997 Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097 Temam, Roger; Wang, Xiaoming 30 1996 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112 Miranville, Alain; Wang, Xiaoming 14 1996 An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372 Wang, Xiaoming 61 1995 Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112 Temam, Roger; Wang, Xiaoming 24 1995 Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017 Temam, Roger; Wang, Xiaoming 16 1994 A remark on the characterization of the gradient of a distribution. Zbl 0797.46032 Wang, Xiaoming 14 1993 On operator valued roots of Abelian analytic functions. Zbl 0760.47007 Wang, Xiaoming 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,700 Authors 60 Wang, Xiaoming 58 Yang, Xiaofeng 57 Wang, Cheng 40 Majda, Andrew J. 37 Chen, Wenbin 34 Wise, Steven M. 33 Zhao, Jia 32 Temam, Roger Meyer 29 Wang, Qi 28 He, Xiaoming 25 Hou, Yanren 24 Li, Jian 23 Han, Daozhi 23 Zhao, Caidi 20 Gong, Yuezheng 20 Jung, Changyeol 19 Kim, Junseok 19 Qiao, Zhonghua 17 Yang, Junxiang 16 Layton, William J. 16 Zelik, Sergey V. 16 Zheng, Haibiao 15 He, Yinnian 15 Li, Rui 15 Zhang, Jun 15 Zhang, Zhengru 14 Ju, Lili 14 Li, Xiaoli 14 Shen, Jie 13 Chen, Zhangxin 13 Du, Guangzhi 13 Gunzburger, Max D. 13 Jia, Hongen 13 Liao, HongLin 13 Łukaszewicz, Grzegorz 13 Qin, Yi 13 Wang, Bixiang 13 Zuo, Liyun 12 Gao, Yali 12 Li, Yibao 12 Qi, Di 11 Caraballo Garrido, Tomás 11 Gie, Gung-Min 11 Jiang, Nan 10 Al Mahbub, Md. Abdullah 10 Chen, Chuanjun 10 Feng, Xinlong 10 Grasselli, Maurizio 10 Li, Xiao 10 Li, Yi 10 Titi, Edriss Saleh 10 Yang, Xinguang 10 Zhang, Hui 9 Alouini, Brahim 9 Cheng, Kelong 9 Rebholz, Leo G. 9 Wang, Shu 8 Chen, Nan 8 Doering, Charles Rogers 8 Hamouda, Makram 8 Hou, Dianming 8 Kelliher, James P. 8 Liu, Wei 8 Liu, Zhengguang 8 Mazzucato, Anna L. 8 Rosa, Ricardo M. S. 8 Shan, Li 8 Tone, Florentina 8 Wu, Hao 8 Xu, Chuanju 8 Zhou, Shengfan 7 Chepyzhov, Vladimir V. 7 Ervin, Vincent J. 7 Goubet, Olivier 7 Harlim, John 7 Hong, Qi 7 Hong, Youngjoon 7 Ji, Bingquan 7 Kou, Jisheng 7 Kukavica, Igor 7 Larios, Adam 7 Lee, Hyun Geun 7 Liu, Chun 7 Lopes Filho, Milton da Costa 7 Nussenzveig Lopes, Helena Judith 7 Rui, Hongxing 7 Shi, Feng 7 Sun, Shuyu 7 Tan, Zhijun 7 Tang, Tao 7 Wang, Jintao 7 Wang, Quan 7 Wang, Wansheng 7 Xin, Zhouping 7 Yan, Wenjing 7 Zhang, Zhifei 7 Zhong, Chengkui 6 Bukač, Martina 6 Chen, Lizhen 6 Feng, Wenqiang ...and 1,600 more Authors all top 5 Cited in 215 Serials 107 Journal of Computational Physics 93 Journal of Scientific Computing 58 Journal of Computational and Applied Mathematics 55 Computers & Mathematics with Applications 55 Computer Methods in Applied Mechanics and Engineering 51 Journal of Differential Equations 42 Applied Numerical Mathematics 39 Physica D 34 Numerical Methods for Partial Differential Equations 34 SIAM Journal on Scientific Computing 32 Journal of Mathematical Analysis and Applications 30 Communications in Nonlinear Science and Numerical Simulation 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Discrete and Continuous Dynamical Systems. Series B 25 Journal of Fluid Mechanics 25 Mathematical Methods in the Applied Sciences 24 Applied Mathematics Letters 24 Communications in Computational Physics 22 SIAM Journal on Numerical Analysis 21 Applied Mathematics and Computation 21 Journal of Mathematical Fluid Mechanics 20 Numerische Mathematik 16 Journal of Mathematical Physics 15 Chinese Annals of Mathematics. Series B 15 Discrete and Continuous Dynamical Systems 14 Journal of Nonlinear Science 14 Nonlinear Analysis. 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English Series 4 European Journal of Applied Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Physics of Fluids 4 Computational and Applied Mathematics 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Journal of Mechanics. B. Fluids 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 SIAM Journal on Applied Dynamical Systems 4 Boundary Value Problems 4 Journal of Applied Analysis and Computation 4 AIMS Mathematics 4 Electronic Research Archive 4 Results in Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Annalen 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. 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(English Edition) ...and 115 more Serials all top 5 Cited in 41 Fields 985 Partial differential equations (35-XX) 871 Fluid mechanics (76-XX) 784 Numerical analysis (65-XX) 162 Dynamical systems and ergodic theory (37-XX) 84 Mechanics of deformable solids (74-XX) 80 Geophysics (86-XX) 79 Statistical mechanics, structure of matter (82-XX) 74 Probability theory and stochastic processes (60-XX) 38 Ordinary differential equations (34-XX) 35 Classical thermodynamics, heat transfer (80-XX) 29 Biology and other natural sciences (92-XX) 28 Statistics (62-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Systems theory; control (93-XX) 14 Optics, electromagnetic theory (78-XX) 13 Real functions (26-XX) 10 Approximations and expansions (41-XX) 9 Computer science (68-XX) 8 Operator theory (47-XX) 8 Mechanics of particles and systems (70-XX) 8 Astronomy and astrophysics (85-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year