Phan, Tuoc Van

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 Author ID: phan.tuoc-van Published as: Phan, Tuoc; Phan, Tuoc Van; Van Phan, Tuoc; Phan, Tuoc V.; Phan Van Tuoc; Phan, T. V.; Van Tuoc, Phan; Van Tuôc, Phan more...less Homepage: http://www.math.utk.edu/~phan/
 Documents Indexed: 37 Publications since 2004 1 Contribution as Editor Co-Authors: 31 Co-Authors with 26 Joint Publications 888 Co-Co-Authors
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Co-Authors

 11 single-authored 4 Dong, Hongjie 3 Duong Minh Duc 3 Hoang, Luan Thach 3 Mengesha, Tadele 3 Nguyen, Truyen Van 2 Cao, Dat T. 2 Lenhart, Suzanne M. 2 Nguyen Hoang Loc 1 Beceanu, Marius 1 Bona, Jerry Lloyd 1 Chen, Geng 1 Comech, Andrew 1 Cuccagna, Scipio 1 De Silva, Kokum R. 1 Finotti, Heather 1 Gustafson, Stephen J. 1 Kieu, Thinh Tri 1 Le Hai An 1 Maeda, Masaya 1 Nakanishi, Kenji 1 Nguyen Cong Phuc 1 Pelinovsky, Dmitry Efimovich 1 Pham Xuan Du 1 Robertson, Timothy 1 Sire, Yannick 1 Soffer, Avraham 1 Stefanov, Atanas G. 1 Todorova, Grozdena Hr. 1 Tsai, Tai-Peng 1 Yordanov, Borislav T. 1 Zheng, Shijun
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Serials

 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Vietnam Journal of Mathematics 1 European Journal of Mechanics. B. Fluids 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Analysis in Theory and Applications 1 Dynamics of Partial Differential Equations 1 Contemporary Mathematics 1 Evolution Equations and Control Theory
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Fields

 36 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

35 Publications have been cited 205 times in 153 Documents Cited by Year
Gradient estimates and global existence of smooth solutions to a cross-diffusion system. Zbl 1321.35083
Hoang, Luan T.; Nguyen, Truyen V.; Phan, Tuoc V.
2015
On global existence of solutions to a cross-diffusion system. Zbl 1202.35117
Van Tuoc, Phan
2008
Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions. Zbl 1155.35387
Van Tuôc, Phan
2007
Interior gradient estimates for quasilinear elliptic equations. Zbl 1347.35123
Nguyen, Truyen; Phan, Tuoc
2016
Properties of generalized Forchheimer flows in porous media. Zbl 1309.35078
Hoang, L. T.; Kieu, T. T.; Phan, T. V.
2014
Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083
Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas
2017
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153
Pelinovsky, D. E.; Phan, T. V.
2012
Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions. Zbl 1391.35169
Phan, Tuoc
2018
Weighted-$$W^{1,p}$$ estimates for the weak solutions of degenerate and singular elliptic equations. Zbl 1417.35022
Cao, Dat; Mengesha, Tadele; Phan, Tuoc
2018
Stationary Navier-Stokes equations with critically singular external forces: existence and stability results. Zbl 1286.35196
Phan, Tuoc Van; Phuc, Nguyen Cong
2013
Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng
2012
Stable directions for degenerate excited states of nonlinear Schrödinger equations. Zbl 1230.35129
Gustafson, Stephen; Phan, Tuoc Van
2011
On small energy stabilization in the NLKG with a trapping potential. Zbl 1356.35142
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V.
2016
Free energy in a mean field of Brownian particles. Zbl 1404.60116
Chen, Xia; Phan, Tuoc
2019
Topological degree for a class of operators and applications. Zbl 1065.47063
Duong Minh Duc; Nguyen Hoang Loc; Phan Van Tuoc
2004
Lagrange multipliers for functions derivable along directions in a linear subspace. Zbl 1055.58006
Le Hai An; Pham Xuan Du; Duong Minh Duc; Phan Van Tuoc
2005
Regularity gradient estimates for weak solutions of singular quasi-linear parabolic equations. Zbl 1375.35066
Phan, Tuoc
2017
Optimal control of advective direction in reaction-diffusion population models. Zbl 1262.35201
Finotti, Heather; Lenhart, Suzanne; Van Phan, Tuoc
2012
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
2021
Weighted mixed-norm $$L_p$$-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients. Zbl 1467.35066
Dong, Hongjie; Phan, Tuoc
2021
Advection control in parabolic PDE systems for competitive populations. Zbl 1364.49025
De Silva, Kokum R.; Phan, Tuoc V.; Lenhart, Suzanne
2017
Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients. Zbl 1428.35116
Cao, Dat; Mengesha, Tadele; Phan, Tuoc
2019
Weighted $$W^{1, p}$$ estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable. Zbl 1404.35195
2019
A remark on global existence of solutions of shadow systems. Zbl 1246.35101
Phan, Tuoc Van
2012
Liouville type theorems for 3D stationary Navier-Stokes equations in weighted mixed-norm Lebesgue spaces. Zbl 1445.35098
Phan, Tuoc
2020
Well-posedness for the Navier-Stokes equations in critical mixed-norm Lebesgue spaces. Zbl 1440.35242
Phan, Tuoc
2020
Mixed-norm $$L_p$$-estimates for non-stationary Stokes systems with singular VMO coefficients and applications. Zbl 07297753
Dong, Hongjie; Phan, Tuoc
2021
On Masuda uniqueness theorem for Leray-Hopf weak solutions in mixed-norm spaces. Zbl 07440248
Phan, Tuoc; Robertson, Timothy
2021
On well-posedness of 2D dissipative quasi-geostrophic equation in critical mixed norm Lebesgue spaces. Zbl 1474.35349
Phan, Tuoc; Sire, Yannick
2020
Local gradient estimates for degenerate elliptic equations. Zbl 1345.35045
Hoang, Luan; Nguyen, Truyen; Phan, Tuoc
2016
Local $$W^{1,p}$$-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts. Zbl 1370.35163
Phan, Tuoc
2017
Lorentz estimates for weak solutions of quasi-linear parabolic equations with singular divergence-free drifts. Zbl 1419.35127
Phan, Tuoc
2019
Interior gradient estimates for weak solutions of quasilinear $$p$$-Laplacian type equations. Zbl 1401.35104
Phan, Tuoc
2018
Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005
2019
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
2020
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
2021
Weighted mixed-norm $$L_p$$-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients. Zbl 1467.35066
Dong, Hongjie; Phan, Tuoc
2021
Mixed-norm $$L_p$$-estimates for non-stationary Stokes systems with singular VMO coefficients and applications. Zbl 07297753
Dong, Hongjie; Phan, Tuoc
2021
On Masuda uniqueness theorem for Leray-Hopf weak solutions in mixed-norm spaces. Zbl 07440248
Phan, Tuoc; Robertson, Timothy
2021
Liouville type theorems for 3D stationary Navier-Stokes equations in weighted mixed-norm Lebesgue spaces. Zbl 1445.35098
Phan, Tuoc
2020
Well-posedness for the Navier-Stokes equations in critical mixed-norm Lebesgue spaces. Zbl 1440.35242
Phan, Tuoc
2020
On well-posedness of 2D dissipative quasi-geostrophic equation in critical mixed norm Lebesgue spaces. Zbl 1474.35349
Phan, Tuoc; Sire, Yannick
2020
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
2020
Free energy in a mean field of Brownian particles. Zbl 1404.60116
Chen, Xia; Phan, Tuoc
2019
Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients. Zbl 1428.35116
Cao, Dat; Mengesha, Tadele; Phan, Tuoc
2019
Weighted $$W^{1, p}$$ estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable. Zbl 1404.35195
2019
Lorentz estimates for weak solutions of quasi-linear parabolic equations with singular divergence-free drifts. Zbl 1419.35127
Phan, Tuoc
2019
Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005
2019
Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions. Zbl 1391.35169
Phan, Tuoc
2018
Weighted-$$W^{1,p}$$ estimates for the weak solutions of degenerate and singular elliptic equations. Zbl 1417.35022
Cao, Dat; Mengesha, Tadele; Phan, Tuoc
2018
Interior gradient estimates for weak solutions of quasilinear $$p$$-Laplacian type equations. Zbl 1401.35104
Phan, Tuoc
2018
Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083
Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas
2017
Regularity gradient estimates for weak solutions of singular quasi-linear parabolic equations. Zbl 1375.35066
Phan, Tuoc
2017
Advection control in parabolic PDE systems for competitive populations. Zbl 1364.49025
De Silva, Kokum R.; Phan, Tuoc V.; Lenhart, Suzanne
2017
Local $$W^{1,p}$$-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts. Zbl 1370.35163
Phan, Tuoc
2017
Interior gradient estimates for quasilinear elliptic equations. Zbl 1347.35123
Nguyen, Truyen; Phan, Tuoc
2016
On small energy stabilization in the NLKG with a trapping potential. Zbl 1356.35142
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V.
2016
Local gradient estimates for degenerate elliptic equations. Zbl 1345.35045
Hoang, Luan; Nguyen, Truyen; Phan, Tuoc
2016
Gradient estimates and global existence of smooth solutions to a cross-diffusion system. Zbl 1321.35083
Hoang, Luan T.; Nguyen, Truyen V.; Phan, Tuoc V.
2015
Properties of generalized Forchheimer flows in porous media. Zbl 1309.35078
Hoang, L. T.; Kieu, T. T.; Phan, T. V.
2014
Stationary Navier-Stokes equations with critically singular external forces: existence and stability results. Zbl 1286.35196
Phan, Tuoc Van; Phuc, Nguyen Cong
2013
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153
Pelinovsky, D. E.; Phan, T. V.
2012
Small solutions of nonlinear Schrödinger equations near first excited states. Zbl 1244.35136
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng
2012
Optimal control of advective direction in reaction-diffusion population models. Zbl 1262.35201
Finotti, Heather; Lenhart, Suzanne; Van Phan, Tuoc
2012
A remark on global existence of solutions of shadow systems. Zbl 1246.35101
Phan, Tuoc Van
2012
Stable directions for degenerate excited states of nonlinear Schrödinger equations. Zbl 1230.35129
Gustafson, Stephen; Phan, Tuoc Van
2011
On global existence of solutions to a cross-diffusion system. Zbl 1202.35117
Van Tuoc, Phan
2008
Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions. Zbl 1155.35387
Van Tuôc, Phan
2007
Lagrange multipliers for functions derivable along directions in a linear subspace. Zbl 1055.58006
Le Hai An; Pham Xuan Du; Duong Minh Duc; Phan Van Tuoc
2005
Topological degree for a class of operators and applications. Zbl 1065.47063
Duong Minh Duc; Nguyen Hoang Loc; Phan Van Tuoc
2004
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Cited by 172 Authors

 21 Phan, Tuoc Van 13 Kieu, Thinh Tri 10 Hoang, Luan Thach 9 Maeda, Masaya 8 Cuccagna, Scipio 6 Comech, Andrew 5 Celik, Emine 5 Erdoğan, Mehmet Burak 5 Green, William R. 5 Nguyen, Truyen Van 4 Goodman, Roy H. 4 Nguyen, Thanh-Nhan 4 Tran, Minh Phuong 3 Byun, Sun-Sig 3 Dong, Hongjie 3 Duong Minh Duc 3 Fu, Shengmao 3 Ibragimov, Akif 3 Lenhart, Suzanne M. 3 Mengesha, Tadele 3 Shin, Pilsoo 3 Tan, Qijian 3 Yang, Jianke 2 Boussaid, Nabile 2 Cao, Dat T. 2 Corchón, Luis C. 2 Goldberg, Michael Joseph 2 Jiao, Yujuan 2 Kuto, Kousuke 2 Li, Chenglin 2 Lou, Yuan 2 Marzuola, Jeremy L. 2 Moussa, Ayman 2 Palagachev, Dian K. 2 Pan, Chaoyi 2 Pelinovsky, Dmitry Efimovich 2 Trescases, Ariane 2 Tsai, Tai-Peng 2 Wang, Yuxia 2 Winkler, Michael 2 Wu, Fan 2 Wu, Gang 2 Yang, Dachun 2 Yang, Sibei 2 Zhang, Lina 1 Adami, Riccardo 1 Amegashie, J. Atsu 1 Antwi-Fordjour, Kwadwo 1 Baasandorj, Sumiya 1 Balci, Anna Kh. 1 Banerjee, Malay 1 Boussïd, Nabile 1 Breden, Maxime 1 Bui, The Quan 1 Cannone, Marco 1 Carretero-González, Ricardo 1 Dang, Thuyen 1 Daus, Esther S. 1 De Silva, Kokum R. 1 Demir, Mahir 1 Desvillettes, Laurent 1 Di Fazio, Giuseppe 1 Diening, Lars 1 Do, Tan Duc 1 Doan, Cao-Kha 1 Drivaliaris, Dimosthenis 1 Ghorai, Saktipada 1 Giova, Raffaella 1 Gorb, Yuliya 1 Guo, Shangjiang 1 He, Zhiqian 1 Hu, Ping 1 Hu, Yaozhong 1 Huang, Jingyu 1 Jiménez Bolaños, Silvia 1 Jun, Zhou 1 Kairzhan, Adilbek 1 Kao, Chiu-Yen 1 Karch, Grzegorz 1 Kevrekidis, Panayotis G. 1 Khai, Nguyen Tien 1 Kim, Chan-Gyun 1 Kim, Seonguk 1 Kühn, Christian 1 Kupenko, Olha P. 1 Lam, Nguyen 1 Le Long Phi 1 Le Xuan Truong 1 Le, Khoa 1 Lee, Ho-Sik 1 Lemarié-Rieusset, Pierre Gilles 1 Lepoutre, Thomas 1 Liu, Changfeng 1 Liu, Chun 1 Liu, Fei Justina 1 Liu, Yongfang 1 Lu, Guangcun 1 Lyu, Yangyang 1 Ma, Wenxian 1 Manzo, Rosanna ...and 72 more Authors
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Cited in 74 Serials

 14 Journal of Differential Equations 12 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 SIAM Journal on Mathematical Analysis 5 Nonlinear Analysis. Real World Applications 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 SIAM Journal on Applied Mathematics 3 Abstract and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Advanced Nonlinear Studies 3 Communications on Pure and Applied Analysis 2 Proceedings of the American Mathematical Society 2 Physica D 2 Social Choice and Welfare 2 Revista Matemática Iberoamericana 2 Numerical Methods for Partial Differential Equations 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Difference Equations 2 Boundary Value Problems 2 Advances in Nonlinear Analysis 2 AIMS Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Review of Economic Design 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Spectral Theory 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Computational Dynamics 1 Annals of PDE 1 Arnold Mathematical Journal 1 Open Mathematics
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Cited in 22 Fields

 134 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 26 Biology and other natural sciences (92-XX) 14 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)