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## Stevens, Angela

Compute Distance To:
 Author ID: stevens.angela Published as: Stevens, A.; Stevens, Angela
 Documents Indexed: 40 Publications since 1997
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#### Co-Authors

 4 single-authored 9 Kang, Kyungkeun 8 Velázquez, Juan J. L. 4 Hwang, Hyung Ju 4 Perthame, Benoît 2 DiBenedetto, Emmanuele 2 Dkhil, Fathi 2 Espejo, Elio E. 2 Fuhrmann, Jan 2 Primi, Ivano 2 Scheel, Arnd 1 Ambrosi, Davide 1 Burger, Martin 1 Di Francesco, Marco 1 Espejo Arenas, Elio Eduardo 1 Fagioli, Simone 1 Großkinsky, Stefan 1 Käs, Josef 1 Liu, Chun 1 Marahrens, Daniel 1 Othmer, Hans G. 1 Röger, Matthias 1 Schweitzer, Frank 1 Suzuki, Takashi
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#### Serials

 3 Differential and Integral Equations 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Oberwolfach Reports 2 Nonlinearity 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Asymptotic Analysis 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Analysis (München) 1 Discrete and Continuous Dynamical Systems. Series B 1 Networks and Heterogeneous Media 1 Journal of Theoretical Biology
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#### Fields

 27 Biology and other natural sciences (92-XX) 23 Partial differential equations (35-XX) 8 Integral equations (45-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 637 times in 490 Documents Cited by Year
Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128
Othmer, Hans G.; Stevens, Angela
1997
The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. Zbl 0963.60093
Stevens, Angela
2000
Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098
Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L.
2009
Blowup and global solutions in a chemotaxis-growth system. Zbl 1343.35045
Kang, Kyungkeun; Stevens, Angela
2016
Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031
Heinze, S.; Papanicolaou, G.; Stevens, A.
2001
Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003
Hillen, T.; Stevens, A.
2000
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
Global solutions of nonlinear transport equations for chemosensitive movement. Zbl 1099.82018
Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela
2005
Emerging patterns in a hyperbolic model for locally interacting cell systems. Zbl 1026.35071
Lutscher, F.; Stevens, A.
2002
A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230
Espejo, E. E.; Stevens, A.; Velázquez, J. J. L.
2010
Drift-diffusion limits of kinetic models for chemotaxis: a generalization. Zbl 1073.35105
Hwang, H. J.; Kang, K.; Stevens, A.
2005
A stochastic cellular automaton modeling gliding and aggregation of myxobacteria. Zbl 0992.92005
Stevens, Angela
2000
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
2018
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Zbl 1265.35135
Espejo, E. E.; Stevens, A.; Suzuki, T.
2012
An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
2009
Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit. Zbl 1162.35048
Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela
2006
Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013
Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L.
2010
Lattice Boltzmann equation calculation of internal, pressure-driven turbulent flow. Zbl 1168.76359
Hammond, L. A.; Halliday, I.; Care, C. M.; Stevens, A.
2002
Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022
Primi, I.; Stevens, A.; Velázquez, J. J. L.
2009
Wavenumber selection in coupled transport equations. Zbl 1387.92064
Scheel, Arnd; Stevens, Angela
2017
Partial differential equations and non-diffusive structures. Zbl 1160.35302
Stevens, A.; Velázquez, J. J. L.
2008
Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300
Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L.
2013
Mathematics and the life-sciences: a personal point of view. Zbl 1377.92006
Stevens, Angela
2017
A free boundary problem for cell motion. Zbl 1363.92004
Fuhrmann, Jan; Stevens, Angela
2015
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151
Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
2019
A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Zbl 1370.92030
Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela
2017
Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387-1421]. Zbl 1236.47045
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
2012
Aggregation induced by diffusing and nondiffusing media. Zbl 0891.92005
Stevens, Angela; Schweitzer, Frank
1997
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151
Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
2019
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
2018
Wavenumber selection in coupled transport equations. Zbl 1387.92064
Scheel, Arnd; Stevens, Angela
2017
Mathematics and the life-sciences: a personal point of view. Zbl 1377.92006
Stevens, Angela
2017
A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Zbl 1370.92030
Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela
2017
Blowup and global solutions in a chemotaxis-growth system. Zbl 1343.35045
Kang, Kyungkeun; Stevens, Angela
2016
A free boundary problem for cell motion. Zbl 1363.92004
Fuhrmann, Jan; Stevens, Angela
2015
Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300
Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L.
2013
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Zbl 1265.35135
Espejo, E. E.; Stevens, A.; Suzuki, T.
2012
Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387-1421]. Zbl 1236.47045
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
2012
A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230
Espejo, E. E.; Stevens, A.; Velázquez, J. J. L.
2010
Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013
Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L.
2010
Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098
Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L.
2009
An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
2009
Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022
Primi, I.; Stevens, A.; Velázquez, J. J. L.
2009
Partial differential equations and non-diffusive structures. Zbl 1160.35302
Stevens, A.; Velázquez, J. J. L.
2008
Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit. Zbl 1162.35048
Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela
2006
Global solutions of nonlinear transport equations for chemosensitive movement. Zbl 1099.82018
Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela
2005
Drift-diffusion limits of kinetic models for chemotaxis: a generalization. Zbl 1073.35105
Hwang, H. J.; Kang, K.; Stevens, A.
2005
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
Emerging patterns in a hyperbolic model for locally interacting cell systems. Zbl 1026.35071
Lutscher, F.; Stevens, A.
2002
Lattice Boltzmann equation calculation of internal, pressure-driven turbulent flow. Zbl 1168.76359
Hammond, L. A.; Halliday, I.; Care, C. M.; Stevens, A.
2002
Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031
Heinze, S.; Papanicolaou, G.; Stevens, A.
2001
The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. Zbl 0963.60093
Stevens, Angela
2000
Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003
Hillen, T.; Stevens, A.
2000
A stochastic cellular automaton modeling gliding and aggregation of myxobacteria. Zbl 0992.92005
Stevens, Angela
2000
Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128
Othmer, Hans G.; Stevens, Angela
1997
Aggregation induced by diffusing and nondiffusing media. Zbl 0891.92005
Stevens, Angela; Schweitzer, Frank
1997
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#### Cited by 711 Authors

 18 Winkler, Michael 17 Wang, Zhian 15 Hillen, Thomas 15 Shen, Wenxian 12 Painter, Kevin J. 11 Carrillo de la Plata, José Antonio 11 Mu, Chunlai 11 Salako, Rachidi Bolaji 9 Bellomo, Nicola 9 Xiang, Tian 9 Zhao, Kun 8 Bellouquid, Abdelghani 8 Lin, Ke 8 Perthame, Benoît 7 Berestycki, Henri 7 Hamel, François 7 Horstmann, Dirk 7 Tello, José Ignacio 6 Maini, Philip Kumar 6 Stevens, Angela 6 Velázquez, Juan J. L. 5 Calvez, Vincent 5 Chaplain, Mark A. J. 5 Eftimie, Raluca 5 Kang, Kyungkeun 5 Kurganov, Alexander 5 Lachowicz, Mirosław 5 Lewis, Mark Alun 5 Li, Tong 5 Li, Yuxiang 5 Ryzhik, Lenya 5 Schmeiser, Christian 5 Schmidtchen, Markus 5 Vauchelet, Nicolas 4 Baker, Ruth Elizabeth 4 Byrne, Helen Mary 4 Chertock, Alina E. 4 Erban, Radek 4 Fagioli, Simone 4 Guarguaglini, Francesca Romana 4 Hwang, Hyung Ju 4 Jin, Hai-Yang 4 Kim, Yong Jung 4 Landman, Kerry A. 4 Liu, Zhengrong 4 Lorenzi, Tommaso 4 Peng, Hongyun 4 Preziosi, Luigi 4 Raoul, Gaël 4 Scheel, Arnd 4 Sleeman, Brian D. 4 Soler, Juan S. 4 Tao, Youshan 4 Wang, Liangchen 4 Xue, Chuan 4 Zhang, Qingshan 3 Alber, Mark S. 3 Chalub, Fabio A. C. C. 3 Chen, Hua 3 Chen, Xinfu 3 Choi, Sun-Ho 3 Conca, Carlos 3 Di Francesco, Marco 3 Drasdo, Dirk 3 Espejo, Elio E. 3 Fontelos López, Marco Antonio 3 Friedman, Avner 3 Fujie, Kentarou 3 Granero Belinchón, Rafael 3 Ha, Seung-Yeal 3 Kaźmierczak, Bogdan 3 Kiselev, Alexander A. 3 Kubo, Akisato 3 Liu, Weian 3 Lukáčová-Medvid’ová, Mária 3 Lutscher, Frithjof 3 Macías-Díaz, Jorge Eduardo 3 Mei, Ming 3 Negreanu, Mihaela 3 Othmer, Hans G. 3 Saad, Mazen 3 Scianna, Marco 3 Stinner, Christian 3 Surulescu, Christina 3 Suzuki, Takashi 3 Vela-Pérez, María 3 Zhao, Jie 3 Zheng, Pan 3 Zhu, Neng 2 Ahn, Jaewook 2 Alarcón, Tomás 2 Ambrosi, Davide 2 Balagué, Daniel 2 Berezovskaya, Faina Semenovna 2 Bertozzi, Andrea Louise 2 Bianca, Carlo 2 Bodnar, Marek 2 Bournaveas, Nikolaos 2 Brantingham, P. Jeffrey 2 Burger, Martin ...and 611 more Authors
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#### Cited in 122 Serials

 33 Journal of Mathematical Biology 32 Journal of Differential Equations 27 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 25 Journal of Mathematical Analysis and Applications 22 Bulletin of Mathematical Biology 15 Journal of Theoretical Biology 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Computers & Mathematics with Applications 12 Discrete and Continuous Dynamical Systems 11 SIAM Journal on Applied Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 11 Kinetic and Related Models 10 Applied Mathematics Letters 10 Nonlinear Analysis. Real World Applications 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematical Methods in the Applied Sciences 8 Mathematical and Computer Modelling 7 SIAM Journal on Mathematical Analysis 6 Journal of Computational Physics 6 Journal of Computational and Applied Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Mathematical Physics 5 Mathematical Biosciences 5 Applied Mathematics and Computation 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Communications in Partial Differential Equations 5 Journal of Nonlinear Science 4 Journal of Statistical Physics 4 Nonlinearity 4 European Journal of Applied Mathematics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Advances in Complex Systems 3 Mathematical Biosciences and Engineering 2 Advances in Applied Probability 2 Communications on Pure and Applied Mathematics 2 Physica A 2 The Annals of Probability 2 Journal of Scientific Computing 2 Applications of Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Chemistry 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Discrete Dynamics in Nature and Society 2 New Journal of Physics 2 Journal of Evolution Equations 2 Physical Review E. Third Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Multiscale Modeling & Simulation 2 Frontiers of Mathematics in China 2 Mathematical Modelling of Natural Phenomena 2 Science China. Mathematics 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Statistica Neerlandica 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics ...and 22 more Serials
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#### Cited in 32 Fields

 390 Partial differential equations (35-XX) 371 Biology and other natural sciences (92-XX) 52 Numerical analysis (65-XX) 48 Probability theory and stochastic processes (60-XX) 36 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 12 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Functional analysis (46-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)