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Author ID: lorz.alexander Recent zbMATH articles by "Lorz, Alexander"
Published as: Lorz, Alexander; Lorz, A.
External Links: MGP

Publications by Year

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 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

Citations by Year