## Stevens, Angela

Compute Distance To:
 Author ID: stevens.angela Published as: Stevens, Angela; Stevens, A.
 Documents Indexed: 41 Publications since 1997 3 Contributions as Editor Co-Authors: 25 Co-Authors with 30 Joint Publications 1,023 Co-Co-Authors
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### Co-Authors

 4 single-authored 10 Kang, Kyungkeun 8 Velázquez, Juan J. L. 4 Care, Chris M. 4 Halliday, Ian 4 Hwang, Hyung Ju 4 Perthame, Benoît 3 Scheel, Arnd 3 White, D. M. 2 DiBenedetto, Emmanuele 2 Dkhil, Fathi 2 Espejo, Elio E. 2 Fuhrmann, Jan 2 Primi, Ivano 1 Ambrosi, Davide 1 Bereg, Sergey N. 1 Burger, Martin 1 Di Francesco, Marco 1 Díaz-Báñez, Jose Miguel 1 Espejo Arenas, Elio Eduardo 1 Fagioli, Simone 1 Großkinsky, Stefan 1 Haghpanah, Mohammadreza 1 Hammond, L. A. 1 Hillen, Thomas 1 Horn, Paul S. 1 Horstmann, Dirk 1 Kaib, Gunnar 1 Käs, Josef 1 Lopez, Mario Alberto 1 Lutscher, Frithjof 1 Marahrens, Daniel 1 Othmer, Hans G. 1 Papanicolaou, George C. 1 Ramírez-Vigueras, A. 1 Röger, Matthias 1 Schweitzer, Frank 1 Solé-Pi, O. 1 Suzuki, Takashi 1 Tenbrock, Christoph 1 Urrutia Galicia, Jorge L. 1 Winkler, Michael
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### Serials

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

 33 Biology and other natural sciences (92-XX) 29 Partial differential equations (35-XX) 8 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-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 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 599 times in 480 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
Blowup and global solutions in a chemotaxis-growth system. Zbl 1343.35045
Kang, Kyungkeun; Stevens, Angela
2016
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
Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031
Heinze, S.; Papanicolaou, G.; Stevens, A.
2001
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003
Hillen, T.; Stevens, A.
2000
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
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
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
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
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
Wavenumber selection in coupled transport equations. Zbl 1387.92064
Scheel, Arnd; Stevens, Angela
2017
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
Lattice Boltzmann equation calculation of internal, pressure-driven turbulent flow. Zbl 1168.76359
Hammond, L. A.; Halliday, I.; Care, C. M.; Stevens, A.
2002
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151
Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
2019
Aggregation induced by diffusing and nondiffusing media. Zbl 0891.92005
Stevens, Angela; Schweitzer, Frank
1997
A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Zbl 1370.92030
Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela
2017
Traveling wave speeds of nonlocally perturbed reaction-diffusion equations. Zbl 1107.35065
Dkhil, F.; Stevens, A.
2006
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
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
Traveling wave speeds of nonlocally perturbed reaction-diffusion equations. Zbl 1107.35065
Dkhil, F.; Stevens, A.
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
all top 5

### Cited by 685 Authors

 21 Winkler, Michael 18 Wang, Zhian 16 Hillen, Thomas 15 Mu, Chunlai 15 Painter, Kevin J. 12 Carrillo de la Plata, José Antonio 12 Zhao, Kun 10 Shen, Wenxian 9 Bellomo, Nicola 9 Salako, Rachidi Bolaji 9 Xiang, Tian 8 Lin, Ke 8 Lorenzi, Tommaso 8 Perthame, Benoît 6 Bellouquid, Abdelghani 6 Chaplain, Mark A. J. 6 Fagioli, Simone 6 Horstmann, Dirk 6 Kang, Kyungkeun 6 Macfarlane, Fiona R. 6 Qiu, Shuyan 6 Schmeiser, Christian 6 Stevens, Angela 6 Velázquez, Juan J. L. 5 Calvez, Vincent 5 Kurganov, Alexander 5 Lachowicz, Mirosław 5 Li, Tong 5 Li, Yuxiang 5 Maini, Philip Kumar 5 Peng, Hongyun 5 Schmidtchen, Markus 5 Tello, José Ignacio 5 Vauchelet, Nicolas 5 Wang, Liangchen 4 Baker, Ruth Elizabeth 4 Byrne, Helen Mary 4 Chertock, Alina E. 4 Granero Belinchón, Rafael 4 Harfash, Akil Jassim 4 Hwang, Hyung Ju 4 Jin, Haiyang 4 Landman, Kerry A. 4 Liu, Zhengrong 4 Raoul, Gaël 4 Scheel, Arnd 4 Sleeman, Brian David 4 Soler, Juan S. 4 Tao, Youshan 4 Tu, Xinyu 4 Xue, Chuan 4 Zeng, Yanni 4 Zhang, Qingshan 3 Burger, Martin 3 Chalub, Fabio A. C. C. 3 Conca, Carlos 3 Daus, Esther S. 3 Degond, Pierre 3 Di Francesco, Marco 3 Drasdo, Dirk 3 Erban, Radek 3 Espejo, Elio E. 3 Flandoli, Franco 3 Fontelos López, Marco Antonio 3 Friedman, Avner 3 Fujie, Kentaro 3 Guo, Shangjiang 3 Ha, Seung-Yeal 3 Jüngel, Ansgar 3 Kaźmierczak, Bogdan 3 Kubo, Akisato 3 Liu, Weian 3 Loy, Nadia 3 Lukáčová-Medvid’ová, Mária 3 Mei, Ming 3 Negreanu, Mihaela 3 Potts, Jonathan R. 3 Preziosi, Luigi 3 Saad, Mazen 3 Stinner, Christian 3 Surulescu, Christina 3 Suzuki, Takashi 3 Vela-Pérez, María 3 Xu, Guangyu 3 Zhao, Jie 3 Zheng, Jiashan 3 Zheng, Pan 3 Zhu, Changjiang 3 Zhu, Neng 2 Ahn, Jaewook 2 Alarcón, Tomás 2 Alber, Mark S. 2 Ambrosi, Davide 2 Balagué, Daniel 2 Bao, Lianzhang 2 Bell, Jonathan 2 Berezovskaya, Faina Semenovna 2 Bertozzi, Andrea Louise 2 Bournaveas, Nikolaos 2 Brantingham, P. Jeffrey ...and 585 more Authors
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### Cited in 122 Serials

 35 Journal of Mathematical Biology 30 Journal of Differential Equations 26 Journal of Mathematical Analysis and Applications 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 Bulletin of Mathematical Biology 20 Discrete and Continuous Dynamical Systems. Series B 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Kinetic and Related Models 12 Discrete and Continuous Dynamical Systems 12 Journal of Theoretical Biology 11 Computers & Mathematics with Applications 11 Nonlinear Analysis. Real World Applications 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematical Methods in the Applied Sciences 8 Mathematical and Computer Modelling 8 European Journal of Applied Mathematics 8 SIAM Journal on Applied Mathematics 8 Discrete and Continuous Dynamical Systems. Series S 7 Applied Mathematics Letters 6 SIAM Journal on Mathematical Analysis 5 Journal of Statistical Physics 5 Journal of Computational and Applied Mathematics 5 Communications in Partial Differential Equations 5 Journal of Nonlinear Science 5 Communications on Pure and Applied Analysis 5 Mathematical Biosciences and Engineering 5 Boundary Value Problems 4 Journal of Mathematical Physics 4 Nonlinearity 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Acta Applicandae Mathematicae 4 NoDEA. Nonlinear Differential Equations and Applications 3 Applicable Analysis 3 Communications in Mathematical Physics 3 Mathematical Biosciences 3 Calculus of Variations and Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Evolution Equations 2 Physica A 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Indiana University Mathematics Journal 2 Physica D 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Discrete Dynamics in Nature and Society 2 New Journal of Physics 2 Advances in Complex Systems 2 Multiscale Modeling & Simulation 2 Mathematical Modelling of Natural Phenomena 2 Science China. Mathematics 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Hiroshima Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Statistica Neerlandica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 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 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Dynamics and Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Theoretical Medicine 1 Chaos 1 Interfaces and Free Boundaries 1 Journal of Biological Systems 1 The ANZIAM Journal 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Physical Review E. Third Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series ...and 22 more Serials
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### Cited in 31 Fields

 400 Partial differential equations (35-XX) 394 Biology and other natural sciences (92-XX) 50 Numerical analysis (65-XX) 48 Probability theory and stochastic processes (60-XX) 36 Statistical mechanics, structure of matter (82-XX) 14 Integral equations (45-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 5 Functional analysis (46-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)