Edit Profile Stevens, Angela Compute Distance To: Compute Author ID: stevens.angela Published as: Stevens, A.; Stevens, Angela Documents Indexed: 40 Publications since 1997 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 28 Publications have been cited 623 times in 478 Documents Cited by ▼ Year ▼ Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128Othmer, Hans G.; Stevens, Angela 186 1997 The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. Zbl 0963.60093Stevens, Angela 70 2000 Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L. 47 2009 Blowup and global solutions in a chemotaxis-growth system. Zbl 1343.35045Kang, Kyungkeun; Stevens, Angela 34 2016 Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031Heinze, S.; Papanicolaou, G.; Stevens, A. 34 2001 Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003Hillen, T.; Stevens, A. 33 2000 A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071Horstmann, D.; Stevens, A. 32 2004 Global solutions of nonlinear transport equations for chemosensitive movement. Zbl 1099.82018Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela 25 2005 Emerging patterns in a hyperbolic model for locally interacting cell systems. Zbl 1026.35071Lutscher, F.; Stevens, A. 21 2002 A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230Espejo, E. E.; Stevens, A.; Velázquez, J. J. L. 17 2010 Drift-diffusion limits of kinetic models for chemotaxis: a generalization. Zbl 1073.35105Hwang, H. J.; Kang, K.; Stevens, A. 17 2005 A stochastic cellular automaton modeling gliding and aggregation of myxobacteria. Zbl 0992.92005Stevens, Angela 16 2000 Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela 12 2018 Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Zbl 1265.35135Espejo, E. E.; Stevens, A.; Suzuki, T. 11 2012 An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 11 2009 Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit. Zbl 1162.35048Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela 10 2006 Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L. 9 2010 Lattice Boltzmann equation calculation of internal, pressure-driven turbulent flow. Zbl 1168.76359Hammond, L. A.; Halliday, I.; Care, C. M.; Stevens, A. 8 2002 Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022Primi, I.; Stevens, A.; Velázquez, J. J. L. 6 2009 Wavenumber selection in coupled transport equations. Zbl 1387.92064Scheel, Arnd; Stevens, Angela 5 2017 Partial differential equations and non-diffusive structures. Zbl 1160.35302Stevens, A.; Velázquez, J. J. L. 5 2008 Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L. 4 2013 Mathematics and the life-sciences: a personal point of view. Zbl 1377.92006Stevens, Angela 3 2017 A free boundary problem for cell motion. Zbl 1363.92004Fuhrmann, Jan; Stevens, Angela 3 2015 Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela 1 2019 A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Zbl 1370.92030Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela 1 2017 Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387-1421]. Zbl 1236.47045Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 1 2012 Aggregation induced by diffusing and nondiffusing media. Zbl 0891.92005Stevens, Angela; Schweitzer, Frank 1 1997 Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Zbl 1415.92151Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela 1 2019 Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela 12 2018 Wavenumber selection in coupled transport equations. Zbl 1387.92064Scheel, Arnd; Stevens, Angela 5 2017 Mathematics and the life-sciences: a personal point of view. Zbl 1377.92006Stevens, Angela 3 2017 A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Zbl 1370.92030Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela 1 2017 Blowup and global solutions in a chemotaxis-growth system. Zbl 1343.35045Kang, Kyungkeun; Stevens, Angela 34 2016 A free boundary problem for cell motion. Zbl 1363.92004Fuhrmann, Jan; Stevens, Angela 3 2015 Pattern forming instabilities driven by non-diffusive interactions. Zbl 1270.35300Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L. 4 2013 Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Zbl 1265.35135Espejo, E. E.; Stevens, A.; Suzuki, T. 11 2012 Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387-1421]. Zbl 1236.47045Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 1 2012 A note on non-simultaneous blow-up for a drift-diffusion model. Zbl 1240.35230Espejo, E. E.; Stevens, A.; Velázquez, J. J. L. 17 2010 Qualitative behavior of a Keller-Segel model with non-diffusive memory. Zbl 1193.35013Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L. 9 2010 Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L. 47 2009 An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 11 2009 Mass-selection in alignment models with non-deterministic effects. Zbl 1169.82022Primi, I.; Stevens, A.; Velázquez, J. J. L. 6 2009 Partial differential equations and non-diffusive structures. Zbl 1160.35302Stevens, A.; Velázquez, J. J. L. 5 2008 Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit. Zbl 1162.35048Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela 10 2006 Global solutions of nonlinear transport equations for chemosensitive movement. Zbl 1099.82018Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela 25 2005 Drift-diffusion limits of kinetic models for chemotaxis: a generalization. Zbl 1073.35105Hwang, H. J.; Kang, K.; Stevens, A. 17 2005 A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071Horstmann, D.; Stevens, A. 32 2004 Emerging patterns in a hyperbolic model for locally interacting cell systems. Zbl 1026.35071Lutscher, F.; Stevens, A. 21 2002 Lattice Boltzmann equation calculation of internal, pressure-driven turbulent flow. Zbl 1168.76359Hammond, L. A.; Halliday, I.; Care, C. M.; Stevens, A. 8 2002 Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031Heinze, S.; Papanicolaou, G.; Stevens, A. 34 2001 The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. Zbl 0963.60093Stevens, Angela 70 2000 Hyperbolic models for chemotaxis in 1-D. Zbl 0981.92003Hillen, T.; Stevens, A. 33 2000 A stochastic cellular automaton modeling gliding and aggregation of myxobacteria. Zbl 0992.92005Stevens, Angela 16 2000 Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128Othmer, Hans G.; Stevens, Angela 186 1997 Aggregation induced by diffusing and nondiffusing media. Zbl 0891.92005Stevens, Angela; Schweitzer, Frank 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 701 Authors 17 Wang, Zhian 17 Winkler, Michael 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 8 Bellouquid, Abdelghani 8 Lin, Ke 8 Perthame, Benoît 8 Xiang, Tian 8 Zhao, Kun 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 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 Liu, Zhengrong 3 Lukáčová-Medvid’ová, Mária 3 Lutscher, Frithjof 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 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 2 Celiński, Rafał 2 Chayes, Lincoln ...and 601 more Authors all top 5 Cited in 120 Serials 33 Journal of Mathematical Biology 31 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 11 Computers & Mathematics with Applications 11 SIAM Journal on Applied Mathematics 11 Discrete and Continuous Dynamical Systems 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 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 Computational Physics 4 Nonlinearity 4 European Journal of Applied Mathematics 4 Boundary Value Problems 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of Statistical 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 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Complex Systems 3 Communications on Pure and Applied Analysis 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 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 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 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 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of Theoretical Medicine ...and 20 more Serials all top 5 Cited in 32 Fields 379 Partial differential equations (35-XX) 364 Biology and other natural sciences (92-XX) 49 Numerical analysis (65-XX) 48 Probability theory and stochastic processes (60-XX) 35 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 18 Dynamical systems and ergodic theory (37-XX) 12 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 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-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 Real functions (26-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) Citations by Year