# zbMATH — the first resource for mathematics

## Tao, Youshan

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 Author ID: tao.youshan Published as: Tao, Y.; Tao, Y. S.; Tao, You Shan; Tao, YouShan; Tao, Youshan
 Documents Indexed: 95 Publications since 1994
all top 5

#### Co-Authors

 13 single-authored 30 Winkler, Michael 10 Guo, Qian 5 Bellomo, Nicola 4 Aihara, Kazuyuki 4 Gao, Guozhu 3 Li, Genglin 3 Yi, Fahuai 3 Yoshida, Norio 2 Friedman, Avner 2 Hu, Bingran 2 Liu, Dongmei 2 Lou, Yuan 2 Wang, Mingjun 2 Wang, Zhian 1 Bellouquid, Abdelghani 1 Bian, Baojun 1 Cao, Xinru 1 Chen, Miaojun 1 Chen, Zhen 1 Cui, Chun 1 Ding, Shijin 1 Hong, Jiaxing 1 Jiang, Lishang 1 Li, Huayin 1 Liu, Yuanyuan 1 Liu, Yuanyuan 1 Liu, Zuhan 1 Painter, Kevin J. 1 Tang, Xifeng 1 Tello, José Ignacio 1 Vernier-Piro, Stella 1 Wang, Lihe 1 Yang, Yan 1 Yin, Hongming 1 Zhang, Hui 1 Zhang, Jizhou 1 Zhang, Na 1 Zhu, Guo
all top 5

#### Serials

 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Mathematical Analysis and Applications 8 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Applied Mathematics. Series B (English Edition) 5 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinearity 3 Journal of Mathematical Biology 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Nonlinear Analysis. Real World Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics Letters 2 Science in China. Series A 2 Journal of Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Applied Mathematical Sciences (Ruse) 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Mathematics. Wuhan University 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 The Canadian Applied Mathematics Quarterly 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Far East Journal of Applied Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Basic Sciences Journal of Textile Universities 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 Toyama Mathematical Journal 1 Discrete and Continuous Dynamical Systems. Series S
all top 5

#### Fields

 90 Partial differential equations (35-XX) 71 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

74 Publications have been cited 2,338 times in 903 Documents Cited by Year
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
2015
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
2012
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant. Zbl 1268.35016
Tao, Youshan; Winkler, Michael
2012
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
2013
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
2015
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
2011
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
2016
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. Zbl 1295.35144
Tao, Youshan; Winkler, Michael
2014
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
2001
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
2010
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
2014
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
2009
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
2009
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
2017
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
2014
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
2011
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
2015
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
2013
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
2013
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
2016
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
2006
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
2017
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
2005
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
2003
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 06648470
Hu, Bingran; Tao, Youshan
2017
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
2016
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
2014
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
2009
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
2004
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
2003
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
2019
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
2007
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
2019
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2009
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
2008
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
1997
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 06826042
Li, Huayin; Tao, Youshan
2018
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2010
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
2007
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
2020
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
2019
A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy. Zbl 1303.35116
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2014
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
2010
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
2020
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
2019
Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion. Zbl 1331.35167
Tao, Youshan; Vernier Piro, Stella
2016
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
2008
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
2007
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
2020
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
2017
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
2002
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
1997
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
2019
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2018
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2005
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 07284886
Cao, Xinru; Tao, Youshan
2021
Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal. Zbl 1423.35194
Chen, Zhen; Tao, Youshan
2019
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
2017
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
2013
Spin Hall effect associated with $$SU(2)$$ gauge field. Zbl 1188.81101
Tao, Y.
2010
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2009
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
2006
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
2001
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1997
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
1997
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
1996
Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model. Zbl 07284886
Cao, Xinru; Tao, Youshan
2021
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
2020
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. Zbl 1439.35101
Li, Genglin; Tao, Youshan
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
2020
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
2019
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
2019
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
2019
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
2019
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
2019
Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal. Zbl 1423.35194
Chen, Zhen; Tao, Youshan
2019
Boundedness in a chemotaxis system with indirect signal production and generalized logistic source. Zbl 06826042
Li, Huayin; Tao, Youshan
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2018
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
2017
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
2017
Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition. Zbl 06648470
Hu, Bingran; Tao, Youshan
2017
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
2017
Asymptotic behavior in a chemotaxis-growth system with nonlinear production of signals. Zbl 1360.35028
Tao, Youshan; Liu, Yuanyuan
2017
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
2016
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
2016
Boundedness in a chemotaxis system with nonlinear signal production. Zbl 1374.35009
Liu, Dongmei; Tao, Youshan
2016
Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion. Zbl 1331.35167
Tao, Youshan; Vernier Piro, Stella
2016
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
2015
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
2015
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
2015
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
2015
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. Zbl 1295.35144
Tao, Youshan; Winkler, Michael
2014
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
2014
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
2014
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
2014
A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy. Zbl 1303.35116
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2014
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
2013
Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189
Tao, Youshan
2013
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
2013
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
2013
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
2012
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant. Zbl 1268.35016
Tao, Youshan; Winkler, Michael
2012
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Boundedness in a chemotaxis model with oxygen consumption by bacteria. Zbl 1225.35118
Tao, Youshan
2011
Global existence for a haptotaxis model of cancer invasion with tissue remodeling. Zbl 1205.35144
Tao, Youshan
2011
Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. Zbl 1195.35171
Tao, Youshan
2010
A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. Zbl 1196.35216
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2010
A density-dependent chemotaxis-haptotaxis system modeling cancer invasion. Zbl 1186.92026
Tao, Youshan; Cui, Chun
2010
Spin Hall effect associated with $$SU(2)$$ gauge field. Zbl 1188.81101
Tao, Y.
2010
Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. Zbl 1160.92027
Tao, Youshan
2009
A combined chemotaxis-haptotaxis system: the role of logistic source. Zbl 1201.35005
Tao, Youshan; Wang, Mingjun
2009
A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. Zbl 1178.35387
Tao, Youshan
2009
A model at the macroscopic scale of prostate tumor growth under intermittent androgen suppression. Zbl 1180.35584
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki
2009
Parameter identification for a model of tumor growth in the presence of inhibitors. Zbl 1212.35516
Tao, Youshan; Bian, Baojun
2009
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
Mathematical modeling of prostate tumor growth under intermittent androgen suppression with partial differential equations. Zbl 1165.92309
Guo, Qian; Tao, Youshan; Aihara, Kazuyuki
2008
Analysis of a chemotaxis model for multi-species host-parasitoid interactions. Zbl 1159.35376
Tang, Xifeng; Tao, Youshan
2008
A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. Zbl 1115.35137
Tao, Youshan; Zhang, Hui
2007
A free boundary problem modelling cancer radiovirotherapy. Zbl 1141.35476
Tao, Youshan; Guo, Qian
2007
Global solution to a model of tumor invasion. Zbl 1135.92020
Tao, Youshan; Zhu, Guo
2007
An elliptic-hyperbolic free boundary problem modelling cancer therapy. Zbl 1105.35149
Tao, Youshan; Chen, Miaojun
2006
Analysis and simulation of a model for intracellular drug accumulation in tumors. Zbl 1089.92027
Tao, Youshan; Guo, Qian
2006
The competitive dynamics between tumor cells, a replication-competent virus and an immune response. Zbl 1066.92035
Tao, Youshan; Guo, Qian
2005
Oscillation of nonlinear hyperbolic equations with distributed deviating arguments. Zbl 1107.35405
Tao, Youshan; Yoshida, Norio
2005
Nonlinear analysis of a model of vascular tumour growth and treatment. Zbl 1073.35215
Tao, Youshan; Yoshida, Norio; Guo, Qian
2004
Nonlinear stability of the Muskat problem with capillary pressure at the free boundary. Zbl 1028.35123
Friedman, Avner; Tao, Youshan
2003
Analysis of a model of a virus that replicates selectively in tumor cells. Zbl 1052.92027
Friedman, Avner; Tao, Youshan
2003
Existence, uniqueness and approximation of classical solutions to nonlinear two-point boundary value problems. Zbl 1011.34008
Tao, Youshan; Gao, Guozhu
2002
Identifying the volatility of underlying assets from option prices. Zbl 0997.91024
Jiang, Lishang; Tao, Youshan
2001
Parabolic approximation to variational problems with double obstacles. Zbl 0990.49012
Tao, Youshan; Gao, Guozhu
2001
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
1997
Quasi-stationary Stefan problem as limit case of Mullins-Sekerka problem. Zbl 0883.35137
Yi, Fahuai; Tao, Youshan; Liu, Zuhan
1997
A chemical diffusion process with reaction taking place at free boundary. Zbl 0906.35117
Ding, Shijin; Tao, Youshan; Yin, Hong-Ming
1997
Classical solution of Verigin problem with surface tension. Zbl 0889.35055
Tao, Youshan
1997
Classical Verigin problem as a limit case of Verigin problem with surface tension at free boundary. Zbl 0859.35065
Tao, Youshan; Yi, Fahuai
1996
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#### Cited by 864 Authors

 74 Winkler, Michael 52 Tao, Youshan 49 Mu, Chunlai 24 Zheng, Pan 23 Wang, Liangchen 23 Wang, Zhian 23 Zheng, Jiashan 22 Zheng, Sining 20 Lin, Ke 20 Wang, Yifu 19 Jin, Hai-Yang 18 Yokota, Tomomi 16 Shen, Wenxian 16 Xiang, Zhaoyin 15 Lankeit, Johannes 15 Xiang, Tian 14 Bellomo, Nicola 14 Deng, Zuicha 14 Hu, Xuegang 14 Wang, Wei 14 Yang, Liu 13 Mizukami, Masaaki 13 Wang, Yilong 12 Li, Xie 11 Cao, Xinru 11 Fujie, Kentarou 11 Guo, Qian 11 Liu, Zhengrong 11 Shangerganesh, Lingeshwaran 11 Tello, José Ignacio 11 Viglialoro, Giuseppe 11 Wang, Yulan 10 Balachandran, Krishnan 10 Black, Tobias 10 Jin, Chunhua 10 Li, Yuxiang 10 Liu, Ji 10 Salako, Rachidi Bolaji 10 Zhang, Qingshan 9 Cieślak, Tomasz 9 Kang, Kyungkeun 9 Negreanu, Mihaela 9 Zhao, Kun 8 Bellouquid, Abdelghani 8 Li, Dan 8 Lin, Zhigui 7 Aihara, Kazuyuki 7 Ishida, Sachiko 7 Li, Chenglin 7 Ren, Guoqiang 7 Stinner, Christian 7 Wang, Jianping 6 Jiang, Jie 6 Liu, Zuhan 6 Matioc, Bogdan-Vasile 6 Surulescu, Christina 6 Tu, Xinyu 6 Yu, Hao 6 Yu, Jianning 6 Zhang, Qian 6 Zhao, Jie 5 Ding, Mengyao 5 Elaiw, Ahmed M. 5 Espejo, Elio E. 5 Issa, Tahir Bachar 5 Kamynin, Vitaly L. 5 Ke, Yuanyuan 5 Lee, Jihoon 5 Li, Yuxiang 5 Ling, Zhi 5 Morales-Rodrigo, Cristian 5 Painter, Kevin J. 5 Pang, Peter Y. H. 5 Qiu, Shuyan 5 Shi, Junping 5 Shi, Shijie 5 Zhigun, Anna 5 Zhou, Ling 5 Zhu, Neng 4 Baghaei, Khadijeh 4 Balan, N. Barani 4 Carrillo de la Plata, José Antonio 4 Chouhad, Nadia 4 Dai, Feng 4 Fuest, Mario 4 Gnanavel, Soundararajan 4 Hirata, Yoshito 4 Klar, Axel 4 Li, Jing 4 Liu, Dongmei 4 Liu, Suying 4 Marras, Monica 4 Peng, Yingping 4 Rodríguez-Bellido, Maria Angeles 4 Tao, Weirun 4 Vernier-Piro, Stella 4 Wang, Jinfeng 4 Wang, Mingxin 4 Wang, Qi 4 Wu, Sainan ...and 764 more Authors
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#### Cited in 150 Serials

 109 Journal of Differential Equations 93 Journal of Mathematical Analysis and Applications 65 Nonlinear Analysis. Real World Applications 62 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 40 ZAMP. Zeitschrift für angewandte Mathematik und Physik 38 Discrete and Continuous Dynamical Systems. Series B 36 Discrete and Continuous Dynamical Systems 28 Computers & Mathematics with Applications 21 Mathematical Methods in the Applied Sciences 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Applied Mathematics Letters 18 Nonlinearity 15 SIAM Journal on Mathematical Analysis 15 Discrete and Continuous Dynamical Systems. Series S 13 Applicable Analysis 12 Applied Mathematics and Computation 9 Journal of Mathematical Physics 9 Journal of Theoretical Biology 8 Acta Applicandae Mathematicae 8 Communications on Pure and Applied Analysis 7 Journal of Mathematical Biology 7 Journal of Dynamics and Differential Equations 7 Calculus of Variations and Partial Differential Equations 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Boundary Value Problems 6 Applied Mathematical Modelling 6 SIAM Journal on Applied Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Journal of Mathematical Fluid Mechanics 5 Mathematical Biosciences and Engineering 5 International Journal of Biomathematics 4 Communications in Partial Differential Equations 4 Journal of Nonlinear Science 4 Applied Mathematics. Series B (English Edition) 4 Journal of Biological Dynamics 3 Bulletin of Mathematical Biology 3 Funkcialaj Ekvacioj. Serio Internacia 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Journal of Optimization Theory and Applications 3 Transactions of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Inverse and Ill-Posed Problems 3 Discrete Dynamics in Nature and Society 3 Journal of Biological Systems 3 Journal of Evolution Equations 3 Quantitative Finance 3 Advances in Difference Equations 3 Kinetic and Related Models 3 Science China. Mathematics 2 Mathematical Biosciences 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Physica D 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Computational & Mathematical Methods in Medicine 2 Nonlinear Analysis. Hybrid Systems 2 Afrika Matematika 1 Archive for Rational Mechanics and Analysis 1 International Journal of Systems Science 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Physica A 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 Applications of Mathematics 1 Stochastic Processes and their Applications ...and 50 more Serials
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#### Cited in 30 Fields

 824 Partial differential equations (35-XX) 711 Biology and other natural sciences (92-XX) 67 Fluid mechanics (76-XX) 55 Numerical analysis (65-XX) 35 Ordinary differential equations (34-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)