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Lorz, Alexander

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Author ID: lorz.alexander Recent zbMATH articles by "Lorz, Alexander"
Published as: Lorz, A.; Lorz, Alexander
External Links: MGP · Wikidata
Documents Indexed: 25 Publications since 2010

Publications by Year

Citations contained in zbMATH

18 Publications have been cited 728 times in 301 Documents Cited by Year
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
143
2010
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
117
2010
A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013
Liu, Jian-Guo; Lorz, Alexander
111
2011
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.
96
2010
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
51
2012
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
46
2011
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.
44
2012
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
35
2013
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
31
2015
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
8
2018
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
8
2017
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.
7
2018
Modelling and numerics for respiratory aerosols. Zbl 1373.76078
Boudin, Laurent; Grandmont, Céline; Lorz, Alexander; Moussa, Ayman
7
2015
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
6
2016
Effects of an advection term in nonlocal Lotka-Volterra equations. Zbl 1344.35155
Chisholm, Rebecca H.; Lorenzi, Tommaso; Lorz, Alexander
6
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
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
4
2017
Long-term behaviour of phenotypically structured models. Zbl 1371.92087
Lorz, Alexander; Perthame, Benoît
3
2014
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
8
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.
7
2018
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
8
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
4
2017
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
6
2016
Effects of an advection term in nonlocal Lotka-Volterra equations. Zbl 1344.35155
Chisholm, Rebecca H.; Lorenzi, Tommaso; Lorz, Alexander
6
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
31
2015
Modelling and numerics for respiratory aerosols. Zbl 1373.76078
Boudin, Laurent; Grandmont, Céline; Lorz, Alexander; Moussa, Ayman
7
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
3
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
35
2013
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
51
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.
44
2012
A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013
Liu, Jian-Guo; Lorz, Alexander
111
2011
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
46
2011
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
143
2010
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
117
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.
96
2010
all top 5

Cited by 390 Authors

23 Winkler, Michael
15 Lorenzi, Tommaso
12 Perthame, Benoît
11 Lorz, Alexander
11 Xiang, Zhaoyin
11 Zheng, Jiashan
10 Mirrahimi, Sepideh
9 Kang, Kyungkeun
8 Wang, Yulan
7 Lankeit, Johannes
7 Zhang, Qian
6 Li, Yuxiang
6 Mu, Chunlai
6 Pouchol, Camille
6 Tao, Youshan
6 Wang, Yifu
5 Clairambault, Jean
5 Jin, Chunhua
5 Li, Xie
5 Moussa, Ayman
5 Wang, Liangchen
5 Wang, Yilong
5 Zheng, Pan
4 Black, Tobias
4 Cao, Xinru
4 Chaplain, Mark A. J.
4 Han-Kwan, Daniel
4 Hu, Xuegang
4 Lam, King-Yeung
4 Lee, Jihoon
4 Levy, Doron
4 Schättler, Heinz Michael
4 Wolfram, Marie-Therese
4 Zhang, Qingshan
3 Alfaro, Matthieu
3 Bellomo, Nicola
3 Bouin, Emeric
3 Braukhoff, Marcel
3 Cai, Wenli
3 Calvez, Vincent
3 Carrère, Cécile
3 Chae, Myeongju
3 Chen, Li
3 Chisholm, Rebecca H.
3 Choe, Hi Jun
3 Fu, Zunwei
3 Hodgkinson, Arran
3 Hughes, Barry D.
3 Jiang, Jie
3 Ledzewicz, Urszula
3 Li, Jing
3 Liu, Hailiang
3 Lkhagvasuren, Bataa
3 Maini, Philip Kumar
3 Peng, Yingping
3 Saad, Mazen
3 Sheu, Tony Wen-Hann
3 Tan, Zhong
3 Trucu, Dumitru
3 Volpert, Vitaly A.
3 Wang, Shuo
3 Wu, Chunyan
3 Yang, Minghua
3 Zheng, Xiaoxin
2 Anderson, Alexander R. A.
2 Ardaševa, Aleksandra
2 Bellouquid, Abdelghani
2 Bian, Shen
2 Bonnefon, Olivier
2 Bouchnita, Anass
2 Boudin, Laurent
2 Burger, Martin
2 Byrne, Helen Mary
2 Chamoun, Georges
2 Chen, Li
2 Chertock, Alina E.
2 Chiang, Chen-Yu
2 Cho, Heyrim
2 Choi, Young-Pil
2 Chung, Yun-Sung
2 Coville, Jerome
2 Dai, Mimi
2 Desvillettes, Laurent
2 Espejo, Elio E.
2 Evje, Steinar
2 Fan, Jishan
2 Ferreira, Lucas Catão de Freitas
2 Gatenby, Robert A.
2 Gevertz, Jana L.
2 Gwiazda, Piotr
2 Ha, Seung-Yeal
2 He, Siming
2 Jabin, Pierre-Emmanuel
2 Jin, Hai-Yang
2 Kim, Hwa Kil
2 Kozono, Hideo
2 Kurganov, Alexander
2 Latos, Evangelos Antonios
2 Li, Yuxiang
2 Liu, Han
...and 290 more Authors
all top 5

Cited in 77 Serials

45 Journal of Differential Equations
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Journal of Mathematical Analysis and Applications
14 Nonlinear Analysis. Real World Applications
12 Discrete and Continuous Dynamical Systems. Series B
10 Journal of Mathematical Biology
9 Bulletin of Mathematical Biology
8 Discrete and Continuous Dynamical Systems
7 Computers & Mathematics with Applications
6 Archive for Rational Mechanics and Analysis
6 Nonlinearity
6 Calculus of Variations and Partial Differential Equations
6 Journal of Theoretical Biology
5 Journal of Mathematical Physics
5 Journal of Mathematical Fluid Mechanics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Mathematical Biosciences and Engineering
4 Mathematical Modelling of Natural Phenomena
3 Computers and Fluids
3 Mathematical Methods in the Applied Sciences
3 Journal of Functional Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 SIAM Journal on Applied Mathematics
3 Journal of Evolution Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Boundary Value Problems
3 Kinetic and Related Models
2 Applicable Analysis
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 Journal of Nonlinear Science
2 NoDEA. Nonlinear Differential Equations and Applications
2 Communications on Pure and Applied Analysis
2 Multiscale Modeling & Simulation
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Revista Matemática Iberoamericana
1 The Annals of Applied Probability
1 Journal of Dynamics and Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 European Journal of Mechanics. B. Fluids
1 Interfaces and Free Boundaries
1 Nonlinear Analysis. Modelling and Control
1 Advanced Nonlinear Studies
1 SIAM Journal on Applied Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Frontiers of Mathematics in China
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis & PDE
1 SIAM Journal on Financial Mathematics
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal of Function Spaces
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 Minimax Theory and its Applications
1 Applied Mathematics and Nonlinear Sciences
1 Electronic Research Archive

Citations by Year

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