Edit Profile (opens in new tab) Lorz, Alexander Co-Author Distance Author ID: lorz.alexander Published as: Lorz, Alexander; Lorz, A. External Links: MGP Documents Indexed: 24 Publications since 2010 1 Contribution as Editor Co-Authors: 33 Co-Authors with 23 Joint Publications 1,625 Co-Co-Authors all top 5 Co-Authors 2 single-authored 8 Lorenzi, Tommaso 8 Perthame, Benoît 4 Clairambault, Jean 4 Markowich, Peter Alexander 2 Burger, Martin 2 Chaplain, Mark A. J. 2 Chisholm, Rebecca H. 2 Pouchol, Camille 2 Trélat, Emmanuel 2 Venkataraman, Chandrasekhar 2 Wolfram, Marie-Therese 1 Boudin, Laurent 1 Carrillo de la Plata, José Antonio 1 Chertock, Alina E. 1 Decoene, Astrid 1 Di Francesco, Marco 1 Duan, Renjun 1 Escargueil, Alexandre 1 Fellner, Klemens 1 Grandmont, Céline 1 Hochberg, Michael E. 1 Kurganov, Alexander 1 Liu, Jianguo 1 Marciniak-Czochra, Anna K. 1 Martin, Sébastien 1 Maury, Bertrand 1 Mirrahimi, Sepideh 1 Moussa, Ayman 1 Pietschmann, Jan-Frederik 1 Restori, Giorgio 1 Schlottbom, Matthias 1 Taing, Cécile 1 Tang, Min all top 5 Serials 2 Communications in Partial Differential Equations 2 Communications in Mathematical Sciences 2 Kinetic and Related Models 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Bulletin of Mathematical Biology 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Journal of Theoretical Biology all top 5 Fields 23 Biology and other natural sciences (92-XX) 17 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 1,234 times in 538 Documents Cited by ▼ Year ▼ Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005 Duan, Renjun; Lorz, Alexander; Markowich, Peter 255 2010 A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013 Liu, Jian-Guo; Lorz, Alexander 185 2011 Coupled chemotaxis fluid model. Zbl 1191.92004 Lorz, Alexander 182 2010 Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103 Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A. 159 2010 A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138 Lorz, Alexander 88 2012 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191 Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 79 2012 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113 Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 74 2011 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204 Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 52 2015 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 47 2013 On interfaces between cell populations with different mobilities. Zbl 1359.35204 Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 20 2017 Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263 Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel 20 2018 The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity. Zbl 1397.92343 Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J. 16 2018 Modelling and numerics for respiratory aerosols. Zbl 1373.76078 Boudin, Laurent; Grandmont, Céline; Lorz, Alexander; Moussa, Ayman 15 2015 On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057 Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese 11 2016 Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005 Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese 9 2017 Effects of an advection term in nonlocal Lotka-Volterra equations. Zbl 1344.35155 Chisholm, Rebecca H.; Lorenzi, Tommaso; Lorz, Alexander 8 2016 Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking. Zbl 1305.35149 Lorenzi, Tommaso; Lorz, Alexander; Restori, Giorgio 5 2014 Long-term behaviour of phenotypically structured models. Zbl 1371.92087 Lorz, Alexander; Perthame, Benoît 5 2014 Parameter identification in a structured population model. Zbl 1422.92122 Lorz, Alexander; Pietschmann, Jan-Frederik; Schlottbom, Matthias 2 2019 Simulation of self-propelled chemotactic bacteria in a Stokes flow. Zbl 1427.76290 Decoene, A.; Lorz, A.; Martin, S.; Maury, B.; Tang, M. 1 2010 Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance. Zbl 1404.92087 Almeida, Luís; Chisholm, Rebecca H.; Clairambault, Jean; Lorenzi, Tommaso; Lorz, Alexander; Pouchol, Camille; Trélat, Emmanuel 1 2018 Parameter identification in a structured population model. Zbl 1422.92122 Lorz, Alexander; Pietschmann, Jan-Frederik; Schlottbom, Matthias 2 2019 Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263 Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel 20 2018 The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity. Zbl 1397.92343 Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J. 16 2018 Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance. Zbl 1404.92087 Almeida, Luís; Chisholm, Rebecca H.; Clairambault, Jean; Lorenzi, Tommaso; Lorz, Alexander; Pouchol, Camille; Trélat, Emmanuel 1 2018 On interfaces between cell populations with different mobilities. Zbl 1359.35204 Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 20 2017 Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005 Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese 9 2017 On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057 Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese 11 2016 Effects of an advection term in nonlocal Lotka-Volterra equations. Zbl 1344.35155 Chisholm, Rebecca H.; Lorenzi, Tommaso; Lorz, Alexander 8 2016 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204 Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 52 2015 Modelling and numerics for respiratory aerosols. Zbl 1373.76078 Boudin, Laurent; Grandmont, Céline; Lorz, Alexander; Moussa, Ayman 15 2015 Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking. Zbl 1305.35149 Lorenzi, Tommaso; Lorz, Alexander; Restori, Giorgio 5 2014 Long-term behaviour of phenotypically structured models. Zbl 1371.92087 Lorz, Alexander; Perthame, Benoît 5 2014 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 47 2013 A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138 Lorz, Alexander 88 2012 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191 Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 79 2012 A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013 Liu, Jian-Guo; Lorz, Alexander 185 2011 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113 Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 74 2011 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005 Duan, Renjun; Lorz, Alexander; Markowich, Peter 255 2010 Coupled chemotaxis fluid model. Zbl 1191.92004 Lorz, Alexander 182 2010 Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103 Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A. 159 2010 Simulation of self-propelled chemotactic bacteria in a Stokes flow. Zbl 1427.76290 Decoene, A.; Lorz, A.; Martin, S.; Maury, B.; Tang, M. 1 2010 all cited Publications top 5 cited Publications all top 5 Cited by 644 Authors 46 Winkler, Michael 24 Zheng, Jiashan 22 Lorenzi, Tommaso 22 Xiang, Zhaoyin 20 Perthame, Benoît 14 Kang, Kyungkeun 14 Zhang, Qian 13 Wang, Yulan 12 Mirrahimi, Sepideh 11 Lorz, Alexander 11 Tao, Youshan 8 Lankeit, Johannes 7 Black, Tobias 7 Chaplain, Mark A. J. 7 Clairambault, Jean 7 Jin, Chunhua 7 Lee, Jihoon 7 Wang, Yifu 6 Levy, Doron 6 Mu, Chunlai 6 Pouchol, Camille 6 Wu, Chunyan 6 Zheng, Pan 5 Calvez, Vincent 5 Cao, Xinru 5 Chen, Li 5 Cho, Heyrim 5 Delitala, Marcello Edoardo 5 Han-Kwan, Daniel 5 Jabin, Pierre-Emmanuel 5 Ke, Yuanyuan 5 Lam, King-Yeung 5 Li, Xie 5 Liu, Zuhan 5 Moussa, Ayman 5 Schättler, Heinz Michael 5 Sheu, Tony Wen-Hann 5 Wang, Liangchen 5 Wang, Yilong 5 Zhou, Ling 4 Bellomo, Nicola 4 Bouin, Emeric 4 Byrne, Helen Mary 4 Choi, Young-Pil 4 Fu, Zunwei 4 He, Siming 4 Hu, Xuegang 4 Ledzewicz, Urszula 4 Li, Yuxiang 4 Liu, Hailiang 4 Marciniak-Czochra, Anna K. 4 Patout, Florian 4 Peng, Yingping 4 Tian, Yu 4 Volpert, Vitaly A. 4 Wang, Wei 4 Wolfram, Marie-Therese 4 Wu, Jie 4 Yang, Minghua 4 Yang, Xujie 4 Zhang, Qingshan 3 Alfaro, Matthieu 3 Bian, Shen 3 Boudin, Laurent 3 Braukhoff, Marcel 3 Cai, Wenli 3 Carrère, Cécile 3 Chae, Myeongju 3 Champagnat, Nicolas 3 Chertock, Alina E. 3 Chisholm, Rebecca H. 3 Choe, Hi Jun 3 Evje, Steinar 3 Fan, Jishan 3 Ferreira, Lucas Catão de Freitas 3 Fuest, Mario 3 Garnier, Jimmy 3 Hodgkinson, Arran 3 Huang, Xueling 3 Hughes, Barry D. 3 Jiang, Jie 3 Jung, Jinwook 3 Kim, Hwa Kil 3 Kurganov, Alexander 3 Lei, Yuzhu 3 Li, Jing 3 Liu, Bin 3 Liu, Jianguo 3 Lkhagvasuren, Bataa 3 Maini, Philip Kumar 3 Moyano, Iván 3 Pang, Peter Y. H. 3 Qi, Dayong 3 Rodríguez-Bellido, Maria Angeles 3 Roques, Lionel J. 3 Saad, Mazen 3 Taing, Cécile 3 Tan, Zhong 3 Tao, Weirun 3 Trucu, Dumitru ...and 544 more Authors all top 5 Cited in 121 Serials 71 Journal of Differential Equations 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Nonlinear Analysis. Real World Applications 23 Discrete and Continuous Dynamical Systems. Series B 22 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Biology 14 Discrete and Continuous Dynamical Systems 13 Acta Applicandae Mathematicae 12 Nonlinearity 12 Bulletin of Mathematical Biology 11 Calculus of Variations and Partial Differential Equations 10 Computers & Mathematics with Applications 10 Journal of Theoretical Biology 8 Mathematical Methods in the Applied Sciences 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 SIAM Journal on Mathematical Analysis 8 Mathematical Biosciences and Engineering 7 Journal of Mathematical Physics 7 Communications in Partial Differential Equations 7 Journal of Mathematical Fluid Mechanics 7 Boundary Value Problems 7 Mathematical Modelling of Natural Phenomena 6 Archive for Rational Mechanics and Analysis 6 Journal of Functional Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Applied Mathematics 5 Applied Mathematics Letters 4 Applicable Analysis 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 4 Kinetic and Related Models 3 Computers and Fluids 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Applied Mathematics and Optimization 3 European Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Physics 2 Journal of Fluid Mechanics 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Interfaces and Free Boundaries 2 Acta Mathematica Sinica. English Series 2 Advanced Nonlinear Studies 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Analysis & PDE 2 Science China. Mathematics 2 Journal of Function Spaces 2 Journal de l’École Polytechnique – Mathématiques 2 Séminaire Laurent Schwartz. EDP et Applications 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 Topological Methods in Nonlinear Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Differential Equations 1 Revista Investigación Operacional 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) ...and 21 more Serials all top 5 Cited in 27 Fields 470 Partial differential equations (35-XX) 440 Biology and other natural sciences (92-XX) 131 Fluid mechanics (76-XX) 36 Numerical analysis (65-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 23 Integral equations (45-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Operator theory (47-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 6 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year