# zbMATH — the first resource for mathematics

## Stinner, Christian

Compute Distance To:
 Author ID: stinner.christian Published as: Stinner, C.; Stinner, Christian Homepage: http://www.mathematik.uni-kl.de/biomath/members/dr-habil-christian-stinner/ External Links: MGP · Wikidata
 Documents Indexed: 25 Publications since 2007 Reviewing Activity: 30 Reviews
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#### Co-Authors

 5 single-authored 7 Winkler, Michael 6 Surulescu, Christina 4 Laurençot, Philippe 3 Cieślak, Tomasz 2 Meral, Gülnihal 2 Tello, José Ignacio 1 Barles, Guy 1 Engwer, Christian 1 Hieber, Matthias 1 Iagar, Razvan Gabriel 1 Kroos, Julia M. 1 Surulescu, Nico 1 Uatay, Aydar
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#### Serials

 4 Journal of Differential Equations 2 Indiana University Mathematics Journal 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Discrete and Continuous Dynamical Systems. Series B 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications
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#### Fields

 25 Partial differential equations (35-XX) 14 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

21 Publications have been cited 576 times in 375 Documents Cited by Year
Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions. Zbl 1252.35087
Cieślak, Tomasz; Stinner, Christian
2012
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
2014
New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models. Zbl 1331.35041
Cieślak, Tomasz; Stinner, Christian
2015
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
2014
Global weak solutions in a chemotaxis system with large singular sensitivity. Zbl 1268.35072
Stinner, Christian; Winkler, Michael
2011
Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2. Zbl 1295.35123
Cieślak, Tomasz; Stinner, Christian
2014
On a multiscale model involving cell contractivity and its effects on tumor invasion. Zbl 1304.35708
Meral, Gülnihal; Stinner, Christian; Surulescu, Christina
2015
Global existence for a go-or-grow multiscale model for tumor invasion with therapy. Zbl 1348.35282
Stinner, Christian; Surulescu, Christina; Uatay, Aydar
2016
A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254
Stinner, Christian; Surulescu, Christina; Meral, Gülnihal
2015
On a structured multiscale model for acid-mediated tumor invasion: the effects of adhesion and proliferation. Zbl 1371.35149
Engwer, Christian; Stinner, Christian; Surulescu, Christina
2017
Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160
Laurençot, Philippe; Stinner, Christian
2012
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
2010
Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion. Zbl 1181.35025
Stinner, Christian
2010
Mathematical analysis of a model of chemotaxis arising from morphogenesis. Zbl 1382.35171
Stinner, Christian; Tello, J. Ignacio; Winkler, Michael
2012
Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions. Zbl 1227.35068
Laurençot, Philippe; Stinner, Christian
2011
Very slow convergence rates in a semilinear parabolic equation. Zbl 1189.35028
Stinner, Christian
2010
Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation. Zbl 1169.35035
Stinner, Christian; Winkler, Michael
2008
Very slow convergence to zero for a supercritical semilinear parabolic equation. Zbl 1190.35035
Stinner, Christian
2009
Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity. Zbl 1133.35064
Stinner, Christian; Winkler, Michael
2007
The convergence rate for a semilinear parabolic equation with a critical exponent. Zbl 1206.35039
Stinner, Christian
2011
Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion. Zbl 1365.35080
Iagar, Razvan Gabriel; Laurençot, Philippe; Stinner, Christian
2017
On a structured multiscale model for acid-mediated tumor invasion: the effects of adhesion and proliferation. Zbl 1371.35149
Engwer, Christian; Stinner, Christian; Surulescu, Christina
2017
Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion. Zbl 1365.35080
Iagar, Razvan Gabriel; Laurençot, Philippe; Stinner, Christian
2017
Global existence for a go-or-grow multiscale model for tumor invasion with therapy. Zbl 1348.35282
Stinner, Christian; Surulescu, Christina; Uatay, Aydar
2016
New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models. Zbl 1331.35041
Cieślak, Tomasz; Stinner, Christian
2015
On a multiscale model involving cell contractivity and its effects on tumor invasion. Zbl 1304.35708
Meral, Gülnihal; Stinner, Christian; Surulescu, Christina
2015
A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254
Stinner, Christian; Surulescu, Christina; Meral, Gülnihal
2015
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
2014
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
2014
Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2. Zbl 1295.35123
Cieślak, Tomasz; Stinner, Christian
2014
Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions. Zbl 1252.35087
Cieślak, Tomasz; Stinner, Christian
2012
Convergence to separate variables solutions for a degenerate parabolic equation with gradient source. Zbl 1242.35160
Laurençot, Philippe; Stinner, Christian
2012
Mathematical analysis of a model of chemotaxis arising from morphogenesis. Zbl 1382.35171
Stinner, Christian; Tello, J. Ignacio; Winkler, Michael
2012
Global weak solutions in a chemotaxis system with large singular sensitivity. Zbl 1268.35072
Stinner, Christian; Winkler, Michael
2011
Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions. Zbl 1227.35068
Laurençot, Philippe; Stinner, Christian
2011
The convergence rate for a semilinear parabolic equation with a critical exponent. Zbl 1206.35039
Stinner, Christian
2011
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
2010
Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion. Zbl 1181.35025
Stinner, Christian
2010
Very slow convergence rates in a semilinear parabolic equation. Zbl 1189.35028
Stinner, Christian
2010
Very slow convergence to zero for a supercritical semilinear parabolic equation. Zbl 1190.35035
Stinner, Christian
2009
Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation. Zbl 1169.35035
Stinner, Christian; Winkler, Michael
2008
Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity. Zbl 1133.35064
Stinner, Christian; Winkler, Michael
2007
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#### Cited by 314 Authors

 50 Winkler, Michael 40 Mu, Chunlai 20 Wang, Liangchen 20 Zheng, Pan 19 Tao, Youshan 16 Yokota, Tomomi 16 Zheng, Jiashan 15 Lin, Ke 12 Hu, Xuegang 12 Wang, Yifu 11 Surulescu, Christina 10 Fujie, Kentarou 10 Lankeit, Johannes 9 Jin, Hai-Yang 9 Stinner, Christian 9 Wang, Wei 9 Zheng, Sining 8 Jin, Chunhua 8 Mizukami, Masaaki 8 Xiang, Tian 7 Cao, Xinru 7 Li, Xie 7 Negreanu, Mihaela 7 Tello, José Ignacio 6 Bellomo, Nicola 6 Black, Tobias 6 Liu, Ji 6 Viglialoro, Giuseppe 6 Wang, Yilong 5 Cieślak, Tomasz 5 Ishida, Sachiko 5 Li, Dan 5 Xiang, Zhaoyin 5 Yu, Hao 5 Zhang, Qingshan 5 Zhao, Jie 4 Issa, Tahir Bachar 4 Laurençot, Philippe 4 Liu, Zhengrong 4 Shen, Wenxian 4 Shi, Shijie 3 Attouchi, Amal 3 Engwer, Christian 3 Hillen, Thomas 3 Ke, Yuanyuan 3 Kolbe, Niklas 3 Li, Ling 3 Li, Yuxiang 3 Liu, Bin 3 Liu, Fang 3 Lukáčová-Medvid’ová, Mária 3 Małogrosz, Marcin 3 Marras, Monica 3 Mizoguchi, Noriko 3 Pang, Peter Y. H. 3 Qiu, Shuyan 3 Ren, Guoqiang 3 Sfakianakis, Nikolaos I. 3 Tu, Xinyu 3 Vernier-Piro, Stella 3 Wang, Qi 3 Wang, Yulan 3 Zhang, Zhengce 3 Zhigun, Anna 3 Zhong, Hua 2 Baghaei, Khadijeh 2 Balachandran, Krishnan 2 Brezzi, Franco 2 Burini, Diletta 2 Carrillo de la Plata, José Antonio 2 Chouhad, Nadia 2 Dai, Feng 2 Deng, Zhiying 2 Ding, Mengyao 2 Fila, Marek 2 Freitag, Marcel 2 Fritz, Marvin 2 Fu, Shengmao 2 Hashira, Takahiro 2 Hiremath, Sandesh Athni 2 Huang, Yisheng 2 Jia, Zhe 2 Jiang, Jie 2 Jiang, Zhaoxin 2 Knappitsch, Markus 2 Kurima, Shunsuke 2 Li, Jing 2 Li, Yan 2 Li, Yan 2 Li, Yuhuan 2 Lima, Ernesto A. B. F. 2 Liu, Ling 2 Liu, Yuanyuan 2 Lorenz, Thomas 2 Meral, Gülnihal 2 Nishino, Teruto 2 Oden, John Tinsley 2 Salako, Rachidi Bolaji 2 Shang, Haifeng 2 Shangerganesh, Lingeshwaran ...and 214 more Authors
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#### Cited in 65 Serials

 49 Journal of Differential Equations 46 Journal of Mathematical Analysis and Applications 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Discrete and Continuous Dynamical Systems. Series B 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Nonlinear Analysis. Real World Applications 17 Discrete and Continuous Dynamical Systems 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Mathematical Methods in the Applied Sciences 10 Computers & Mathematics with Applications 9 Applied Mathematics Letters 8 Nonlinearity 6 Applicable Analysis 6 Acta Applicandae Mathematicae 6 Boundary Value Problems 6 Discrete and Continuous Dynamical Systems. Series S 5 SIAM Journal on Mathematical Analysis 5 Journal of Dynamics and Differential Equations 5 Communications on Pure and Applied Analysis 4 Journal of Mathematical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Evolution Equations 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Funkcialaj Ekvacioj. Serio Internacia 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Fluid Mechanics 2 Advanced Nonlinear Studies 2 Oberwolfach Reports 2 Journal of Theoretical Biology 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Chemistry 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Mathematical Biosciences and Engineering 1 Kinetic and Related Models 1 International Journal of Biomathematics 1 Advances in Nonlinear Analysis 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 17 Fields

 362 Partial differential equations (35-XX) 305 Biology and other natural sciences (92-XX) 12 Ordinary differential equations (34-XX) 12 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 6 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)