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## Zheng, Yuxi

Compute Distance To:
 Author ID: zheng.yuxi Published as: Zheng, Yuxi; Zheng, Y.; Zheng, Y. X. Homepage: https://www.math.psu.edu/yzheng/
 Documents Indexed: 96 Publications since 1983, including 2 Books
all top 5

#### Co-Authors

 16 single-authored 15 Zhang, Ping 10 Zhang, Tong 6 Li, Jiequan 4 Grotberg, James B. 4 Hunter, John K. 3 Billings, Stephen A. 3 Bressan, Alberto 3 Glassey, Robert T. 3 Ji, Xiaomei 3 Majda, Andrew J. 3 Owens, David Howard 3 Sheng, Wancheng 2 Chao, Xiuli 2 Chen, Geng 2 Chu, Wen-jun 2 Fujioka, Hideki 2 Halpern, David 2 Lopes Filho, Milton da Costa 2 Majda, George 2 Nussenzveig Lopes, Helena Judith 2 Song, Kyungwoo 2 Wang, Qin 2 Yuan, Shao Wen 2 Zhang, Tianyou 1 Charnes, Chris 1 Davis, H. Ted 1 Duan, Ben 1 Filoche, Marcel 1 Glimm, James G. 1 Heckenberger, István 1 Huang, Jingchi 1 Huh, D. 1 Lai, Geng 1 Lei, Zhen 1 Lewicka, Marta 1 Li, Mingjie 1 Li, Xiaolin 1 Lin, Zhiqing 1 Lowengrub, John Samuel 1 Luo, Zhen 1 Mauser, Norbert Julius 1 Meng, Q.-H. Max 1 Moore, Philip R. 1 Pieprzyk, Josef P. 1 Robinson, Zachary 1 Safavi-Naini, Reihaneh 1 Schaeffer, Jack W. 1 Scriven, L. E. 1 Takayama, Shuichi 1 Talmon, Y. 1 Tan, Dechun 1 Torisawa, Yoko 1 Wang, Dehua 1 Wu, Qiliang 1 Yang, Zhicheng 1 Zakin, Jacques L. 1 Zhang, Qinglong 1 Zhang, Wei
all top 5

#### Serials

 8 Archive for Rational Mechanics and Analysis 6 Communications in Mathematical Physics 5 Journal of Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Indiana University Mathematics Journal 4 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Mathematics 3 Journal of Fluid Mechanics 3 Physica D 3 SIAM Journal on Mathematical Analysis 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Nanjing University. Natural Sciences 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 IMA Journal of Mathematical Control and Information 2 Communications in Partial Differential Equations 2 Physics of Fluids 2 Methods and Applications of Analysis 2 Probability in the Engineering and Informational Sciences 2 Advances and Applications in Fluid Mechanics 1 Discrete Mathematics 1 International Journal of Control 1 International Journal of Plasticity 1 Journal of Mathematical Physics 1 Journal of Algebra 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Chaos 1 Mechanism and Machine Theory 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 AIMS Series on Applied Mathematics 1 Progress in Nonlinear Differential Equations and Their Applications
all top 5

#### Fields

 71 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

77 Publications have been cited 1,623 times in 634 Documents Cited by Year
Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws. Zbl 0804.35077
Tan, Dechun; Zhang, Tong; Zheng, Yuxi
1994
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
1990
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
1994
Interaction of rarefaction waves of the two-dimensional self-similar Euler equations. Zbl 1170.76021
Li, Jiequan; Zheng, Yuxi
2009
On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits. Zbl 0834.35085
Hunter, John K.; Zheng, Yuxi
1995
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. Zbl 1106.35034
Zheng, Yuxi
2006
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
2001
Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations. Zbl 1113.76080
Li, Jiequan; Zhang, Tong; Zheng, Yuxi
2006
Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. Zbl 1193.35140
Li, Jiequan; Zheng, Yuxi
2010
Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations. Zbl 1209.35079
Li, Jiequan; Yang, Zhicheng; Zheng, Yuxi
2011
The interaction of rarefaction waves of the two-dimensional Euler equations. Zbl 1203.35167
Chen, Xiao; Zheng, Yuxi
2010
Semi-hyperbolic patches of solutions to the two-dimensional Euler equations. Zbl 1270.76064
Li, Mingjie; Zheng, Yuxi
2011
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
2006
Singularities of a variational wave equation. Zbl 0879.35107
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
1996
Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data. Zbl 0982.35062
Zhang, Ping; Zheng, Yuxi
2000
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
2003
Semi-hyperbolic patches of solutions of the pressure gradient system. Zbl 1178.35254
Song, Kyungwoo; Zheng, Yuxi
2009
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
2005
Existence of solutions to the transonic pressure-gradient equations of the compressible Euler equations in elliptic regions. Zbl 0899.35080
Zheng, Yuxi
1997
Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121
Lai, Geng; Sheng, Wancheng; Zheng, Yuxi
2011
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
On oscillations of an asymptotic equation of a nonlinear variational wave equation. Zbl 0935.35031
Zhang, Ping; Zheng, Yuxi
1998
Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088
Zheng, Yuxi; Majda, Andrew
1994
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
2008
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
1994
On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation. Zbl 0930.35142
Zhang, Ping; Zheng, Yuxi
1999
Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. Zbl 0989.35112
Zhang, Ping; Zheng, Yuxi
2001
Two-dimensional Riemann problem for a single conservation law. Zbl 0704.35095
Zhang, Tong; Zheng, Yuxi
1989
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
2010
A global solution to a two-dimensional Riemann problem involving shocks as free boundaries. Zbl 1079.35068
Zheng, Yuxi
2003
Transient analysis of immigration birth-death processes with total catastrophes. Zbl 1019.60079
Chao, Xiuli; Zheng, Yuxi
2003
The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension. Zbl 1032.81011
Zhang, Ping; Zheng, Yuxi; Mauser, Norbert J.
2002
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
2012
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
2006
Singular and rarefactive solutions to a nonlinear variational wave equation. Zbl 0980.35137
Zhang, Ping; Zheng, Yuxi
2001
A complete global solution to the pressure gradient equation. Zbl 1116.35102
Lei, Zhen; Zheng, Yuxi
2007
Sonic-supersonic solutions for the steady Euler equations. Zbl 1320.35245
Zhang, Tianyou; Zheng, Yuxi
2014
Singularities and oscillations in a nonlinear variational wave equation. Zbl 0958.35084
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
1997
Axisymmetric solutions of the Euler equations for polytropic gases. Zbl 0909.76087
Zhang, Tong; Zheng, Yuxi
1998
Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302
Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi
2009
Riemann problem for gasdynamic combustion. Zbl 0688.35055
Zhang, Tong; Zheng, Yuxi
1989
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. Zbl 1325.35153
Song, Kyungwoo; Wang, Qin; Zheng, Yuxi
2015
Absorption of characteristics by sonic curve of the two-dimensional Euler equations. Zbl 1154.35402
Zheng, Yuxi
2009
Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. Zbl 1387.35487
Duan, Ben; Luo, Zhen; Zheng, Yuxi
2012
Exact spiral solutions of the two-dimensional Euler equations. Zbl 0948.35104
Zhang, Tong; Zheng, Yuxi
1997
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
2002
Fast sampling and stability of nonlinear sampled-data systems. I: Existence theorems. Zbl 0717.93041
Owens, D. H.; Zheng, Y.; Billings, S. A.
1990
The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics. Zbl 1336.35099
Wang, Qin; Zheng, Yuxi
2014
Steady states of the Vlasov-Poisson-Fokker-Planck system. Zbl 0867.35026
Glassey, Robert; Schaeffer, Jack; Zheng, Yuxi
1996
Regularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equations. Zbl 0765.35046
Zheng, Yuxi
1993
Systems of conservation laws with incomplete sets of eigenvectors everywhere. Zbl 0929.35089
Zheng, Yuxi
1998
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
2005
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
2013
Liquid plug propagation in flexible microchannels: a small airway model. Zbl 1183.76603
Zheng, Y.; Fujioka, H.; Bian, S.; Torisawa, Y.; Huh, D.; Takayama, S.; Grotberg, J. B.
2009
Concentration-cancellation for the velocity fields in two-dimensional incompressible fluid flows. Zbl 0850.76510
Zheng, Yuxi
1991
Experimental study of flow fields in an airway closure model. Zbl 1189.76014
Bian, S.; Tai, C.-F.; Halpern, D.; Zheng, Y.; Grotberg, J. B.
2010
Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case. Zbl 0839.35104
Majda, Andrew J.; Majda, George; Zheng, Yuxi
1994
Fast sampling and stability of nonlinear sampled-data systems. II: Sampling rate estimators. Zbl 0717.93042
Zheng, Y.; Owens, D. H.; Billings, S. A.
1990
Numerical study of flow fields in an airway closure model. Zbl 1241.76472
Tai, C.-F.; Bian, S.; Halpern, D.; Zheng, Y.; Filoche, M.; Grotberg, J. B.
2011
Effects of gravity, inertia, and surfactant on steady plug propagation in a two-dimensional channel. Zbl 1182.76875
Zheng, Y.; Fujioka, H.; Grotberg, J. B.
2007
The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation. Zbl 1350.35160
Zhang, Tianyou; Zheng, Yuxi
2016
Unusual effects of counterion to surfactant concentration ratio on viscoelasticity of cationic surfactant drag reducer. Zbl 0973.76519
Lin, Z.; Zheng, Y.; Davis, H. T.; Scriven, L. E.; Talmon, Y.; Zakin, J. L.
2000
Effect of solutes on dislocation motion – a phase-field simulation. Zbl 1254.74002
Hu, S. Y.; Li, Y. L.; Zheng, Y. X.; Chen, L. Q.
2004
Shock reflection for the Euler system. Zbl 1102.35363
Zheng, Yuxi
2006
Convergence of the vanishing viscosity approximation for superpositions of confined eddies. Zbl 0942.76012
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi
1999
Characteristic decouplings and interactions of rarefaction waves of 2D Euler equations. Zbl 1306.35091
Ji, Xiaomei; Zheng, Yuxi
2013
The pressure gradient system. Zbl 1227.35208
Zheng, Yuxi; Robinson, Zachary
2010
The Young measure method for a nonlinear variational wave equation. Zbl 1032.35141
Zhang, Ping; Zheng, Yuxi
2001
Transinet analysis of linear birth-death processes with immigration and emigration. Zbl 1058.60069
Zheng, Yuxi; Chao, Xiuli; Ji, Xiaomei
2004
Concentration in sequences of solutions to the nonlinear Klein-Gordon equation. Zbl 0725.35102
Zheng, Yuxi
1991
Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations. Zbl 1437.74008
Zhang, W.; Wu, Q. L.; Zhang, Y. F.; Zheng, Y.
2020
Comments on Soviet encryption algorithm. Zbl 0879.94033
Charnes, C.; O’Connor, L.; Pieprzyk, J.; Safavi-Naini, R.; Zheng, Y.
1995
On the global existence of weak solutions to a nonlinear variational wave equation. Zbl 1068.35074
Zhang, Ping; Zheng, Yuxi
2004
Two-dimensional Riemann problems for the compressible Euler system. Zbl 1180.35356
Zheng, Yuxi
2009
Root multiplicities for Nichols algebras of diagonal type of rank two. Zbl 1420.16022
Heckenberger, I.; Zheng, Y.
2018
Slow sampling and stability of nonlinear sampled-data systems. Zbl 0695.93062
Zheng, Y.; Owens, D. H.; Billings, S. A.
1990
Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations. Zbl 1437.74008
Zhang, W.; Wu, Q. L.; Zhang, Y. F.; Zheng, Y.
2020
Root multiplicities for Nichols algebras of diagonal type of rank two. Zbl 1420.16022
Heckenberger, I.; Zheng, Y.
2018
The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation. Zbl 1350.35160
Zhang, Tianyou; Zheng, Yuxi
2016
The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. Zbl 1325.35153
Song, Kyungwoo; Wang, Qin; Zheng, Yuxi
2015
Sonic-supersonic solutions for the steady Euler equations. Zbl 1320.35245
Zhang, Tianyou; Zheng, Yuxi
2014
The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics. Zbl 1336.35099
Wang, Qin; Zheng, Yuxi
2014
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
2013
Characteristic decouplings and interactions of rarefaction waves of 2D Euler equations. Zbl 1306.35091
Ji, Xiaomei; Zheng, Yuxi
2013
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
2012
Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. Zbl 1387.35487
Duan, Ben; Luo, Zhen; Zheng, Yuxi
2012
Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations. Zbl 1209.35079
Li, Jiequan; Yang, Zhicheng; Zheng, Yuxi
2011
Semi-hyperbolic patches of solutions to the two-dimensional Euler equations. Zbl 1270.76064
Li, Mingjie; Zheng, Yuxi
2011
Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121
Lai, Geng; Sheng, Wancheng; Zheng, Yuxi
2011
Numerical study of flow fields in an airway closure model. Zbl 1241.76472
Tai, C.-F.; Bian, S.; Halpern, D.; Zheng, Y.; Filoche, M.; Grotberg, J. B.
2011
Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. Zbl 1193.35140
Li, Jiequan; Zheng, Yuxi
2010
The interaction of rarefaction waves of the two-dimensional Euler equations. Zbl 1203.35167
Chen, Xiao; Zheng, Yuxi
2010
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
2010
Experimental study of flow fields in an airway closure model. Zbl 1189.76014
Bian, S.; Tai, C.-F.; Halpern, D.; Zheng, Y.; Grotberg, J. B.
2010
The pressure gradient system. Zbl 1227.35208
Zheng, Yuxi; Robinson, Zachary
2010
Interaction of rarefaction waves of the two-dimensional self-similar Euler equations. Zbl 1170.76021
Li, Jiequan; Zheng, Yuxi
2009
Semi-hyperbolic patches of solutions of the pressure gradient system. Zbl 1178.35254
Song, Kyungwoo; Zheng, Yuxi
2009
Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302
Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi
2009
Absorption of characteristics by sonic curve of the two-dimensional Euler equations. Zbl 1154.35402
Zheng, Yuxi
2009
Liquid plug propagation in flexible microchannels: a small airway model. Zbl 1183.76603
Zheng, Y.; Fujioka, H.; Bian, S.; Torisawa, Y.; Huh, D.; Takayama, S.; Grotberg, J. B.
2009
Two-dimensional Riemann problems for the compressible Euler system. Zbl 1180.35356
Zheng, Yuxi
2009
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
2008
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
A complete global solution to the pressure gradient equation. Zbl 1116.35102
Lei, Zhen; Zheng, Yuxi
2007
Effects of gravity, inertia, and surfactant on steady plug propagation in a two-dimensional channel. Zbl 1182.76875
Zheng, Y.; Fujioka, H.; Grotberg, J. B.
2007
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. Zbl 1106.35034
Zheng, Yuxi
2006
Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations. Zbl 1113.76080
Li, Jiequan; Zhang, Tong; Zheng, Yuxi
2006
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
2006
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
2006
Shock reflection for the Euler system. Zbl 1102.35363
Zheng, Yuxi
2006
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
2005
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
2005
Effect of solutes on dislocation motion – a phase-field simulation. Zbl 1254.74002
Hu, S. Y.; Li, Y. L.; Zheng, Y. X.; Chen, L. Q.
2004
Transinet analysis of linear birth-death processes with immigration and emigration. Zbl 1058.60069
Zheng, Yuxi; Chao, Xiuli; Ji, Xiaomei
2004
On the global existence of weak solutions to a nonlinear variational wave equation. Zbl 1068.35074
Zhang, Ping; Zheng, Yuxi
2004
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
2003
A global solution to a two-dimensional Riemann problem involving shocks as free boundaries. Zbl 1079.35068
Zheng, Yuxi
2003
Transient analysis of immigration birth-death processes with total catastrophes. Zbl 1019.60079
Chao, Xiuli; Zheng, Yuxi
2003
The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension. Zbl 1032.81011
Zhang, Ping; Zheng, Yuxi; Mauser, Norbert J.
2002
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
2002
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
2001
Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. Zbl 0989.35112
Zhang, Ping; Zheng, Yuxi
2001
Singular and rarefactive solutions to a nonlinear variational wave equation. Zbl 0980.35137
Zhang, Ping; Zheng, Yuxi
2001
The Young measure method for a nonlinear variational wave equation. Zbl 1032.35141
Zhang, Ping; Zheng, Yuxi
2001
Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data. Zbl 0982.35062
Zhang, Ping; Zheng, Yuxi
2000
Unusual effects of counterion to surfactant concentration ratio on viscoelasticity of cationic surfactant drag reducer. Zbl 0973.76519
Lin, Z.; Zheng, Y.; Davis, H. T.; Scriven, L. E.; Talmon, Y.; Zakin, J. L.
2000
On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation. Zbl 0930.35142
Zhang, Ping; Zheng, Yuxi
1999
Convergence of the vanishing viscosity approximation for superpositions of confined eddies. Zbl 0942.76012
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi
1999
On oscillations of an asymptotic equation of a nonlinear variational wave equation. Zbl 0935.35031
Zhang, Ping; Zheng, Yuxi
1998
Axisymmetric solutions of the Euler equations for polytropic gases. Zbl 0909.76087
Zhang, Tong; Zheng, Yuxi
1998
Systems of conservation laws with incomplete sets of eigenvectors everywhere. Zbl 0929.35089
Zheng, Yuxi
1998
Existence of solutions to the transonic pressure-gradient equations of the compressible Euler equations in elliptic regions. Zbl 0899.35080
Zheng, Yuxi
1997
Singularities and oscillations in a nonlinear variational wave equation. Zbl 0958.35084
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
1997
Exact spiral solutions of the two-dimensional Euler equations. Zbl 0948.35104
Zhang, Tong; Zheng, Yuxi
1997
Singularities of a variational wave equation. Zbl 0879.35107
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
1996
Steady states of the Vlasov-Poisson-Fokker-Planck system. Zbl 0867.35026
Glassey, Robert; Schaeffer, Jack; Zheng, Yuxi
1996
On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits. Zbl 0834.35085
Hunter, John K.; Zheng, Yuxi
1995
Comments on Soviet encryption algorithm. Zbl 0879.94033
Charnes, C.; O&rsquo;Connor, L.; Pieprzyk, J.; Safavi-Naini, R.; Zheng, Y.
1995
Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws. Zbl 0804.35077
Tan, Dechun; Zhang, Tong; Zheng, Yuxi
1994
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
1994
Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088
Zheng, Yuxi; Majda, Andrew
1994
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
1994
Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case. Zbl 0839.35104
Majda, Andrew J.; Majda, George; Zheng, Yuxi
1994
Regularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equations. Zbl 0765.35046
Zheng, Yuxi
1993
Concentration-cancellation for the velocity fields in two-dimensional incompressible fluid flows. Zbl 0850.76510
Zheng, Yuxi
1991
Concentration in sequences of solutions to the nonlinear Klein-Gordon equation. Zbl 0725.35102
Zheng, Yuxi
1991
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
1990
Fast sampling and stability of nonlinear sampled-data systems. I: Existence theorems. Zbl 0717.93041
Owens, D. H.; Zheng, Y.; Billings, S. A.
1990
Fast sampling and stability of nonlinear sampled-data systems. II: Sampling rate estimators. Zbl 0717.93042
Zheng, Y.; Owens, D. H.; Billings, S. A.
1990
Slow sampling and stability of nonlinear sampled-data systems. Zbl 0695.93062
Zheng, Y.; Owens, D. H.; Billings, S. A.
1990
Two-dimensional Riemann problem for a single conservation law. Zbl 0704.35095
Zhang, Tong; Zheng, Yuxi
1989
Riemann problem for gasdynamic combustion. Zbl 0688.35055
Zhang, Tong; Zheng, Yuxi
1989
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#### Cited by 630 Authors

 31 Sheng, Wancheng 28 Hu, Yanbo 27 Yang, Hanchun 27 Zheng, Yuxi 21 Lai, Geng 17 Kim, Eun Heui 17 Shen, Chun 15 Cheng, Hongjun 15 Sun, Meina 13 Li, Jiequan 12 Yin, Zhaoyang 12 Zhang, Yu 11 Guo, Lihui 11 Zhang, Ping 10 Bressan, Alberto 10 Chen, Geng 10 Chen, Gui-Qiang G. 10 Chen, Jianjun 10 Zhang, Yanyan 9 Wang, Guodong 9 Yin, Gan 8 Song, Kyungwoo 8 Yin, Huicheng 7 Chen, Shuxing 7 Pang, Yicheng 7 Wang, Qin 7 Yuen, Manwai 6 Elling, Volker W. 6 Feldman, Mikhail 6 Giorno, Virginia 6 Nobile, Amelia G. 6 Sharma, Vishnu D. 6 Xin, Zhouping 5 Bouchut, François 5 Carrillo de la Plata, José Antonio 5 Fan, Engui 5 Holden, Helge 5 Lenells, Jonatan 5 Lopes Filho, Milton da Costa 5 Mauser, Norbert Julius 5 Nussenzveig Lopes, Helena Judith 5 Sekhar, T. Raja 5 Soler, Juan S. 5 Tang, Huazhong 5 Yang, Xiaozhou 4 Athanassoulis, Agisillaos 4 Brunelli, J. C. 4 Čanić, Sunčica 4 Cao, Gaowei 4 Capdeville, Guy 4 Chen, Jun 4 Di Crescenzo, Antonio 4 Gosse, Laurent 4 Hunter, John K. 4 James, François 4 Keyfitz, Barbara Lee 4 Liu, Hailiang 4 Liu, Yujin 4 Pan, Lijun 4 Qu, Aifang 4 Sen, Anupam 4 Shelkovich, Vladimir M. 4 Wang, Jinhuan 4 Wang, Zhen 4 Xiang, Wei 4 Yao, Aidi 4 You, Shouke 4 Zhang, Tong 3 Bardos, Claude Williams 3 Cieślak, Tomasz 3 Constantin, Adrian 3 de la Cruz, Richard 3 Duan, Ben 3 Grunert, Katrin 3 Hong, John Meng-Kai 3 Hu, Dian 3 Hu, Jiaxin 3 Hu, Kai 3 Huang, Feimin 3 Huicheng, Yin 3 Jamróz, Grzegorz 3 Jegdić, Katarina 3 Jiang, Ning 3 Krinik, Alan C. 3 Kurganov, Alexander 3 Li, Fengquan 3 Li, Jun 3 Li, Shiwei 3 Li, Tong 3 Liu, Jingjing 3 Liu, Yue 3 Luo, Yi-Long 3 Luo, Zhen 3 Majda, George 3 Sarrico, Carlos Orlando R. 3 Shao, Zhiqiang 3 Shen, Wen 3 Su, Ying-Chin 3 Sugiyama, Yuusuke 3 Sun, Wenhua ...and 530 more Authors
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#### Cited in 141 Serials

 62 Journal of Differential Equations 45 Journal of Mathematical Analysis and Applications 28 Journal of Mathematical Physics 23 Journal of Computational Physics 22 Archive for Rational Mechanics and Analysis 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Hyperbolic Differential Equations 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Communications in Partial Differential Equations 13 SIAM Journal on Mathematical Analysis 12 Nonlinear Analysis. Real World Applications 11 Communications on Pure and Applied Analysis 10 Communications in Mathematical Physics 10 Quarterly of Applied Mathematics 10 Chinese Annals of Mathematics. Series B 10 Applied Mathematics Letters 10 Advances in Mathematical Physics 9 Communications on Pure and Applied Mathematics 8 Acta Applicandae Mathematicae 8 Physica D 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Nonlinear Mathematical Physics 7 Mathematical Methods in the Applied Sciences 7 Acta Mathematicae Applicatae Sinica. English Series 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Applicable Analysis 6 Applied Mathematics and Computation 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Discrete and Continuous Dynamical Systems 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Functional Analysis 5 Journal of Scientific Computing 5 Abstract and Applied Analysis 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Statistical Physics 4 Mathematics of Computation 4 Monatshefte für Mathematik 4 Studies in Applied Mathematics 4 SIAM Journal on Scientific Computing 4 Journal of Shanghai University 4 Journal of Mathematical Fluid Mechanics 4 Communications in Nonlinear Science and Numerical Simulation 4 Boundary Value Problems 4 Science China. Mathematics 3 Computers and Fluids 3 Advances in Mathematics 3 Journal of Applied Probability 3 Journal of Statistical Planning and Inference 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Applied Mathematics and Mechanics. (English Edition) 3 Applied Numerical Mathematics 3 Journal of Nonlinear Science 3 Acta Mathematica Sinica. English Series 3 Discrete and Continuous Dynamical Systems. Series S 2 Indian Journal of Pure & Applied Mathematics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Journal of Geometry and Physics 2 Journal of Computational and Applied Mathematics 2 Statistics & Probability Letters 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 European Journal of Mechanics. B. Fluids 2 Stochastic Models 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis and Applications (Singapore) 2 Advances in Difference Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Differential Equations and Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Wave Motion 1 BIT 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Mathematical Imaging and Vision 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations ...and 41 more Serials
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#### Cited in 32 Fields

 552 Partial differential equations (35-XX) 318 Fluid mechanics (76-XX) 62 Numerical analysis (65-XX) 41 Statistical mechanics, structure of matter (82-XX) 40 Dynamical systems and ergodic theory (37-XX) 23 Probability theory and stochastic processes (60-XX) 16 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Classical thermodynamics, heat transfer (80-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 7 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 6 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 6 Astronomy and astrophysics (85-XX) 6 Biology and other natural sciences (92-XX) 5 Nonassociative rings and algebras (17-XX) 5 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)