# zbMATH — the first resource for mathematics

## Wang, Xiaoming

Compute Distance To:
 Author ID: wang.xiaoming Published as: Wang, X.; Wang, Xiaoming Homepage: https://www.math.fsu.edu/~wxm/ External Links: MGP · Wikidata
 Documents Indexed: 98 Publications since 1989, including 3 Books
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#### Co-Authors

 21 single-authored 15 Temam, Roger Meyer 12 Gunzburger, Max D. 10 Chen, Wenbin 9 Han, Daozhi 9 Wang, Cheng 7 Majda, Andrew J. 6 Wise, Steven M. 5 Cao, Yanzhao 4 Cheng, Wenfang 4 Hua, Fei 3 Niu, Dongjuan 3 Sun, Dong 3 Tone, Florentina 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 Chen, Nan 1 Chen, Qingshan 1 Conde, Sidafa 1 Diegel, Amanda E. 1 Doering, Charles R. 1 Fang, Congqi 1 Gottlieb, Sigal 1 Guo, Duo 1 Hsia, Chun-Hsiung 1 Hu, Xiaolong 1 Ju, Ning 1 Kelliher, James P. 1 Lee, Eunjung 1 Lu, Guofu 1 Luo, Zhiwen 1 McCurdy, Matthew 1 Moore, Nicholas 1 Shi, Jin 1 Shim, Sang-Yeun 1 Souganidis, Panagiotis E. 1 Trenchea, Catalin 1 Vanden-Eijnden, Eric 1 Wang, Shouhong 1 Whitehead, Jared P. 1 Wu, Jiahong 1 Yan, Yue 1 Zhang, Zhifei 1 Zhang, Zhuying 1 Zhao, Weidong
all top 5

#### Serials

 7 SIAM Journal on Numerical Analysis 7 Physica D 6 Numerische Mathematik 6 Discrete and Continuous Dynamical Systems 5 Applied Mathematics Letters 5 Journal of Scientific Computing 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 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) 1 Applicable Analysis 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 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 SIAM Journal on Applied Mathematics 1 Russian Journal of Mathematical Physics 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 Research in the Mathematical Sciences
all top 5

#### Fields

 71 Fluid mechanics (76-XX) 70 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 17 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

82 Publications have been cited 1,648 times in 853 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.
2012
Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001
Majda, Andrew J.; Wang, Xiaoming
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
2010
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042
Temam, R.; Wang, X.
2002
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2010
An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372
Wang, Xiaoming
1995
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 06300439
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
2014
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
2011
On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127
Temam, Roger; Wang, Xiaoming
1997
A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059
Wang, Xiaoming
2001
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.
2012
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. Zbl 1349.76213
Han, Daozhi; Wang, Xiaoming
2015
Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
2004
Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094
Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming
2013
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.
2014
Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032
Wang, Xiaoming
2004
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
2010
Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097
Temam, Roger; Wang, Xiaoming
1996
Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240
Wang, Xiaoming; Zhang, Zhifei
2013
Time-averaged energy dissipation rate for shear driven flows in $$\mathbb{R}^n$$. Zbl 0897.76019
Wang, Xiaoming
1997
Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112
Temam, Roger; Wang, Xiaoming
1995
Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164
Wang, Xiaoming; Wu, Hao
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.
2012
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 06804021
Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2017
Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370
Wang, Xiaoming
2009
A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095
Wang, Xiaoming
2005
Two-phase flows in karstic geometry. Zbl 1309.76204
Han, Daozhi; Sun, Dong; Wang, Xiaoming
2014
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
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
2011
Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211
Wang, Xiaoming
2010
The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077
Temam, R.; Wang, X.
1997
Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351
Wang, Xiaoming
2008
Estimates on the lowest dimension of inertial manifolds for the Kuramoto-Sivashinsky equation in the general case. Zbl 0858.35017
Temam, Roger; Wang, Xiaoming
1994
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
2014
Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125
Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming
2011
New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106
Cheng, Wenfang; Temam, Roger; Wang, Xiaoming
2000
Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018
Temam, R.; Wang, X.
2000
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
2016
Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159
Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming
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
2011
Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112
Miranville, Alain; Wang, Xiaoming
1996
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
2012
On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006
Wang, Xiaoming
2010
Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199
Wang, Xiaoming
2008
Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076
Temam, Roger; Wang, Xiaoming
1997
A remark on the characterization of the gradient of a distribution. Zbl 0797.46032
Wang, Xiaoming
1993
A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119
Cheng, Wenfang (Wendy); Wang, Xiaoming
2009
Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125
Temam, Roger; Wang, Xiaoming
1997
Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098
Miranville, A.; Wang, X.
1997
Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278
Han, Daozhi; Wang, Xiaoming
2014
A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110
Cheng, Wenfang (Wendy); Wang, Xiaoming
2008
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
2019
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 06775065
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming
2017
Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170
Han, Daozhi; Wang, Xiaoming
2016
Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077
Wang, Xiaoming
2016
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
2011
Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328
Cheng, Wenfang; Wang, Xiaoming
2007
The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001
Majda, Andrew J.; Wang, Xiaoming
2006
Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026
Wang, Xiaoming
2004
A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302
2013
Approximating stationary statistical properties. Zbl 1183.65171
Wang, Xiaoming
2009
Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369
Gunzburger, Max; Saka, Yuki; Wang, Xiaoming
2009
Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017
Doering, Charles R.; Wang, Xiaoming
1998
Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092
Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko
2015
Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127
Wang, Xiaoming
2010
Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026
Wang, Xiaoming
2000
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
2020
Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077
Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming
2010
On a Burgers’ type equation. Zbl 1108.37052
Hsia, Chun-Hsiung; Wang, Xiaoming
2006
Selective decay for geophysical flows. Zbl 1197.76140
Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming
2000
Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064
Fei, Mingwen; Han, Daozhi; Wang, Xiaoming
2017
Boundary layers in channel flow with injection and suction. Zbl 0992.76026
Temam, R.; Wang, X.
2001
Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320
Temam, Roger; Wang, Xiaoming
1997
Convection in a coupled free flow-porous media system. Zbl 1425.76249
McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming
2019
A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158
Han, Daozhi; Wang, Xiaoming
2018
Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500
Majda, Andrew; Wang, Xiaoming
2005
The selective decay principle for barotropic geophysical flows. Zbl 1021.76054
Majda, Andrew; Wang, Xiaoming
2001
Boundary layer for chaffee-infante type equation. Zbl 0911.35012
Temam, Roger; Wang, Xiaoming
1998
On operator valued roots of Abelian analytic functions. Zbl 0760.47007
Wang, Xiaoming
1991
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
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
2019
Convection in a coupled free flow-porous media system. Zbl 1425.76249
McCurdy, Matthew; Moore, Nicholas; Wang, Xiaoming
2019
A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. Zbl 1407.65158
Han, Daozhi; Wang, Xiaoming
2018
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 06804021
Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2017
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. Zbl 06775065
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming
2017
Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. Zbl 1376.76064
Fei, Mingwen; Han, Daozhi; Wang, Xiaoming
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
2016
Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system. Zbl 1381.76170
Han, Daozhi; Wang, Xiaoming
2016
Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Zbl 1354.37077
Wang, Xiaoming
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
2015
Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics. Zbl 1322.65092
Tone, Florentina; Wang, Xiaoming; Wirosoetisno, Djoko
2015
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 06300439
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
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.
2014
Two-phase flows in karstic geometry. Zbl 1309.76204
Han, Daozhi; Sun, Dong; Wang, Xiaoming
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
2014
Initial-boundary layer associated with the nonlinear Darcy-Brinkman system. Zbl 1331.35278
Han, Daozhi; Wang, Xiaoming
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
2013
Well-posedness of the Hele-Shaw-Cahn-Hilliard system. Zbl 1291.35240
Wang, Xiaoming; Zhang, Zhifei
2013
A bound on the vertical transport of heat in the ’ultimate’ state of slippery convection at large Prandtl numbers. Zbl 1291.76302
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.
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.
2012
Long-time behavior for the Hele-Shaw-Cahn-Hilliard system. Zbl 1246.35164
Wang, Xiaoming; Wu, Hao
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.
2012
Boundary layer for a class of nonlinear pipe flow. Zbl 1246.35159
Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming
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
2012
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
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
2011
Boundary layer associated with a class of 3D nonlinear plane parallel channel flows. Zbl 1426.76125
Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming
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
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
2011
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
2010
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
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
2010
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
2010
Approximation of stationary statistical properties of dissipative dynamical systems: time discretization. Zbl 1197.65211
Wang, Xiaoming
2010
On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer. Zbl 1184.86006
Wang, Xiaoming
2010
Examples of boundary layers associated with the incompressible Navier-Stokes equations. Zbl 1426.76127
Wang, Xiaoming
2010
Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077
Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming
2010
Upper semi-continuity of stationary statistical properties of dissipative systems. Zbl 1154.37370
Wang, Xiaoming
2009
A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1391.76119
Cheng, Wenfang (Wendy); Wang, Xiaoming
2009
Approximating stationary statistical properties. Zbl 1183.65171
Wang, Xiaoming
2009
Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369
Gunzburger, Max; Saka, Yuki; Wang, Xiaoming
2009
Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number. Zbl 1143.35351
Wang, Xiaoming
2008
Bound on vertical heat transport at large Prandtl number. Zbl 1185.35199
Wang, Xiaoming
2008
A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model. Zbl 1183.65110
Cheng, Wenfang (Wendy); Wang, Xiaoming
2008
Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows. Zbl 1144.81328
Cheng, Wenfang; Wang, Xiaoming
2007
Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001
Majda, Andrew J.; Wang, Xiaoming
2006
The emergence of large-scale coherent structure under small-scale random bombardments. Zbl 1099.86001
Majda, Andrew J.; Wang, Xiaoming
2006
On a Burgers’ type equation. Zbl 1108.37052
Hsia, Chun-Hsiung; Wang, Xiaoming
2006
A note on long time behavior of solutions to the Boussinesq system at large Prandtl number. Zbl 1080.35095
Wang, Xiaoming
2005
Validity of the one and one-half layer quasi-geostrophic model and effective topography. Zbl 1081.86500
Majda, Andrew; Wang, Xiaoming
2005
Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
2004
Infinite Prandtl number limit of Rayleigh-Bénard convection. Zbl 1112.76032
Wang, Xiaoming
2004
Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection. Zbl 1068.76026
Wang, Xiaoming
2004
Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. Zbl 0997.35042
Temam, R.; Wang, X.
2002
A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Zbl 0991.35059
Wang, Xiaoming
2001
Boundary layers in channel flow with injection and suction. Zbl 0992.76026
Temam, R.; Wang, X.
2001
The selective decay principle for barotropic geophysical flows. Zbl 1021.76054
Majda, Andrew; Wang, Xiaoming
2001
New approximation algorithms for a class of partial differential equations displaying boundary layer behavior. Zbl 1001.65106
Cheng, Wenfang; Temam, Roger; Wang, Xiaoming
2000
Remarks on the Prandtl equation for a permeable wall. Zbl 1050.76018
Temam, R.; Wang, X.
2000
Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate. Zbl 0988.76026
Wang, Xiaoming
2000
Selective decay for geophysical flows. Zbl 1197.76140
Majda, Andrew; Shim, Sang-Yeun; Wang, Xiaoming
2000
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Attractor dimension estimates for two-dimensional shear flows. Zbl 0956.76017
Doering, Charles R.; Wang, Xiaoming
1998
Boundary layer for chaffee-infante type equation. Zbl 0911.35012
Temam, Roger; Wang, Xiaoming
1998
On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Zbl 1043.35127
Temam, Roger; Wang, Xiaoming
1997
Time-averaged energy dissipation rate for shear driven flows in $$\mathbb{R}^n$$. Zbl 0897.76019
Wang, Xiaoming
1997
The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Zbl 0888.35077
Temam, R.; Wang, X.
1997
Asymptotic analysis of the linearized Navier-Stokes equations in a general 2D domain. Zbl 0889.35076
Temam, Roger; Wang, Xiaoming
1997
Boundary layers for Oseen’s type equation in space dimension three. Zbl 0912.35125
Temam, Roger; Wang, Xiaoming
1997
Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098
Miranville, A.; Wang, X.
1997
Asymptotic analysis of the linearized Navier-Stokes equation in a 2D channel at high Reynolds number. Zbl 1128.76320
Temam, Roger; Wang, Xiaoming
1997
Asymptotic analysis of Oseen type equations in a channel at small viscosity. Zbl 0881.35097
Temam, Roger; Wang, Xiaoming
1996
Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112
Miranville, Alain; Wang, Xiaoming
1996
An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors. Zbl 0900.35372
Wang, Xiaoming
1995
Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Zbl 0832.35112
Temam, Roger; Wang, Xiaoming
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
1994
A remark on the characterization of the gradient of a distribution. Zbl 0797.46032
Wang, Xiaoming
1993
On operator valued roots of Abelian analytic functions. Zbl 0760.47007
Wang, Xiaoming
1991
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#### Cited by 1,029 Authors

 47 Wang, Xiaoming 37 Majda, Andrew J. 30 Temam, Roger Meyer 26 Wang, Cheng 22 Yang, Xiaofeng 19 Chen, Wenbin 19 Hou, Yanren 18 Wise, Steven M. 18 Zhao, Jia 15 Jung, Changyeol 15 Layton, William J. 13 Han, Daozhi 13 He, Xiaoming 13 Wang, Qi 13 Zelik, Sergey V. 13 Zhao, Caidi 12 Gunzburger, Max D. 12 Łukaszewicz, Grzegorz 12 Wang, Bixiang 11 Qi, Di 11 Qiao, Zhonghua 10 Chen, Zhangxin 10 Li, Jian 10 Shen, Jie 9 Chen, Nan 9 Goubet, Olivier 9 Grasselli, Maurizio 8 Doering, Charles R. 8 Gao, Yali 8 Gie, Gung-Min 8 Gong, Yuezheng 8 Rosa, Ricardo M. S. 8 Titi, Edriss Saleh 8 Wang, Shu 8 Zhou, Shengfan 8 Zuo, Liyun 7 Ervin, Vincent J. 7 Hamouda, Makram 7 Lopes Filho, Milton da Costa 7 Mazzucato, Anna L. 7 Nussenzveig Lopes, Helena Judith 7 Zheng, Haibiao 6 Caraballo Garrido, Tomás 6 Chepyzhov, Vladimir V. 6 Feng, Wenqiang 6 Harlim, John 6 He, Yinnian 6 Hong, Youngjoon 6 Kelliher, James P. 6 Larios, Adam 6 Liu, Wei 6 Real Anguas, José 6 Tone, Florentina 6 Xin, Zhouping 6 Zhong, Chengkui 5 Chekroun, Mickaël D. 5 Cheng, Kelong 5 Du, Guangzhi 5 Giorgini, Andrea 5 Glatt-Holtz, Nathan E. 5 Kukavica, Igor 5 Li, Rui 5 Li, Shishun 5 Li, Yongsheng 5 Lowengrub, John Samuel 5 Morgulis, Andrey Borisovich 5 Novotný, Antonín 5 Qin, Yuming 5 Rebholz, Leo G. 5 Sammartino, Marco Maria Luigi 5 Shan, Li 5 Shiue, Ming-Cheng 5 Sun, Shuyu 5 Tong, Xin Thomson 5 Trenchea, Catalin 5 Vicol, Vlad C. 5 Wang, Ya-Guang 5 Whitehead, Jared P. 5 Xiao, Yuelong 5 Yang, Xinguang 5 Zhang, Zhifei 4 Al Mahbub, Md. Abdullah 4 Branicki, Michał 4 Bretin, Elie 4 Chechkin, Gregory A. 4 Chemetov, Nikolai V. 4 Cipriano, Fernanda 4 Constantin, Peter 4 Fei, Mingwen 4 Frigeri, Sergio 4 Guo, Boling 4 Huang, Aimin 4 Il’in, Konstantin I. 4 Ilyin, Alexei A. 4 Jia, Hongen 4 Jiang, Nan 4 Jolly, Michael S. 4 Kim, Tae-Yeon 4 Kou, Jisheng 4 Lee, Hyun Geun ...and 929 more Authors
all top 5

#### Cited in 159 Serials

 47 Journal of Scientific Computing 45 Journal of Computational Physics 39 Journal of Differential Equations 30 Physica D 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Computers & Mathematics with Applications 25 Journal of Mathematical Analysis and Applications 25 Journal of Computational and Applied Mathematics 24 Computer Methods in Applied Mechanics and Engineering 19 Applied Mathematics Letters 18 Applied Numerical Mathematics 18 SIAM Journal on Scientific Computing 17 Journal of Fluid Mechanics 17 Numerische Mathematik 16 Mathematical Methods in the Applied Sciences 16 Numerical Methods for Partial Differential Equations 16 Journal of Mathematical Fluid Mechanics 16 Discrete and Continuous Dynamical Systems. Series B 14 Chinese Annals of Mathematics. Series B 14 Nonlinear Analysis. Real World Applications 13 Journal of Mathematical Physics 12 Journal of Nonlinear Science 12 Discrete and Continuous Dynamical Systems 11 Applied Mathematics and Computation 11 SIAM Journal on Numerical Analysis 10 Journal of Statistical Physics 9 Archive for Rational Mechanics and Analysis 9 Mathematics of Computation 9 Communications on Pure and Applied Analysis 8 Applicable Analysis 8 Communications on Pure and Applied Mathematics 7 Communications in Mathematical Physics 7 Abstract and Applied Analysis 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Dynamics and Differential Equations 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Advances in Computational Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Chaos 5 Analysis and Applications (Singapore) 4 Journal of Functional Analysis 4 Asymptotic Analysis 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Research in the Mathematical Sciences 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 Quarterly of Applied Mathematics 3 Transactions 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 Numerical Algorithms 3 Communications in Partial Differential Equations 3 SIAM Review 3 NoDEA. Nonlinear Differential Equations and Applications 3 Acta Mathematica Sinica. English Series 3 International Journal of Numerical Analysis and Modeling 3 Boundary Value Problems 3 SIAM/ASA Journal on Uncertainty Quantification 2 Computers and Fluids 2 Inverse Problems 2 Nonlinearity 2 Advances in Mathematics 2 Numerical Functional Analysis and Optimization 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 International Journal of Computer Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Stochastic Processes and their Applications 2 Journal of Mathematical Sciences (New York) 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Differential Equations 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 2 Multiscale Modeling & Simulation 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Communications in Mathematics and Statistics 2 Evolution Equations and Control Theory 2 Nonlinear Analysis. Theory, Methods & Applications 2 Results in Applied Mathematics 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics ...and 59 more Serials
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#### Cited in 34 Fields

 543 Partial differential equations (35-XX) 505 Fluid mechanics (76-XX) 322 Numerical analysis (65-XX) 124 Dynamical systems and ergodic theory (37-XX) 56 Probability theory and stochastic processes (60-XX) 54 Geophysics (86-XX) 43 Statistical mechanics, structure of matter (82-XX) 39 Mechanics of deformable solids (74-XX) 24 Ordinary differential equations (34-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Statistics (62-XX) 18 Systems theory; control (93-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 10 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Astronomy and astrophysics (85-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

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