Edit Profile (opens in new tab) Black, Tobias Co-Author Distance Author ID: black.tobias Published as: Black, Tobias External Links: ORCID · arXiv Documents Indexed: 19 Publications since 2016 Co-Authors: 5 Co-Authors with 9 Joint Publications 116 Co-Co-Authors Co-Authors 10 single-authored 6 Lankeit, Johannes 5 Mizukami, Masaaki 2 Fuest, Mario 2 Wu, Chunyan 1 Winkler, Michael all top 5 Serials 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Nonlinear Analysis. Real World Applications 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Discrete and Continuous Dynamical Systems. Series S Fields 19 Partial differential equations (35-XX) 16 Biology and other natural sciences (92-XX) 3 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 363 times in 264 Documents Cited by ▼ Year ▼ On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 77 2016 Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084 Black, Tobias 45 2017 Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion. Zbl 1394.35226 Black, Tobias 44 2018 Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. Zbl 1390.35130 Black, Tobias 34 2018 Sublinear signal production in a two-dimensional Keller-Segel-Stokes system. Zbl 1375.35361 Black, Tobias 23 2016 Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1439.35486 Black, Tobias 22 2020 Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138 Black, Tobias 18 2020 Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems. Zbl 1466.35056 Black, Tobias; Fuest, Mario; Lankeit, Johannes 18 2021 Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. Zbl 1420.35433 Black, Tobias 17 2019 Singular sensitivity in a Keller-Segel-fluid system. Zbl 1402.35006 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 17 2018 A Keller-Segel-fluid system with singular sensitivity: generalized solutions. Zbl 1418.35222 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 10 2019 The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1433.35259 Black, Tobias 9 2020 Global weak solutions and absorbing sets in a chemotaxis-Navier-Stokes system with prescribed signal concentration on the boundary. Zbl 1487.35372 Black, Tobias; Winkler, Michael 7 2022 Prescribed signal concentration on the boundary: weak solvability in a chemotaxis-Stokes system with proliferation. Zbl 1467.35099 Black, Tobias; Wu, Chunyan 6 2021 Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier-Stokes system with logistic proliferation. Zbl 1487.35373 Black, Tobias; Wu, Chunyan 5 2022 Boundedness in a Keller-Segel system with external signal production. Zbl 1355.35095 Black, Tobias 4 2017 Stabilization in the Keller-Segel system with signal-dependent sensitivity. Zbl 1461.35045 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 3 2020 Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. Zbl 1339.35140 Black, Tobias 2 2016 Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Zbl 1517.35062 Black, Tobias; Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki 2 2023 Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Zbl 1517.35062 Black, Tobias; Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki 2 2023 Global weak solutions and absorbing sets in a chemotaxis-Navier-Stokes system with prescribed signal concentration on the boundary. Zbl 1487.35372 Black, Tobias; Winkler, Michael 7 2022 Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier-Stokes system with logistic proliferation. Zbl 1487.35373 Black, Tobias; Wu, Chunyan 5 2022 Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems. Zbl 1466.35056 Black, Tobias; Fuest, Mario; Lankeit, Johannes 18 2021 Prescribed signal concentration on the boundary: weak solvability in a chemotaxis-Stokes system with proliferation. Zbl 1467.35099 Black, Tobias; Wu, Chunyan 6 2021 Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1439.35486 Black, Tobias 22 2020 Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138 Black, Tobias 18 2020 The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1433.35259 Black, Tobias 9 2020 Stabilization in the Keller-Segel system with signal-dependent sensitivity. Zbl 1461.35045 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 3 2020 Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. Zbl 1420.35433 Black, Tobias 17 2019 A Keller-Segel-fluid system with singular sensitivity: generalized solutions. Zbl 1418.35222 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 10 2019 Global very weak solutions to a chemotaxis-fluid system with nonlinear diffusion. Zbl 1394.35226 Black, Tobias 44 2018 Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. Zbl 1390.35130 Black, Tobias 34 2018 Singular sensitivity in a Keller-Segel-fluid system. Zbl 1402.35006 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 17 2018 Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084 Black, Tobias 45 2017 Boundedness in a Keller-Segel system with external signal production. Zbl 1355.35095 Black, Tobias 4 2017 On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 77 2016 Sublinear signal production in a two-dimensional Keller-Segel-Stokes system. Zbl 1375.35361 Black, Tobias 23 2016 Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant. Zbl 1339.35140 Black, Tobias 2 2016 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 28 Winkler, Michael 18 Liu, Bin 17 Mu, Chunlai 17 Ren, Guoqiang 14 Wang, Liangchen 11 Zheng, Pan 10 Lankeit, Johannes 9 Shen, Wenxian 9 Xiang, Zhaoyin 8 Black, Tobias 8 Mizukami, Masaaki 8 Zheng, Jiashan 7 Dai, Feng 7 Pan, Xu 7 Qiu, Shuyan 7 Tu, Xinyu 7 Wang, Jianping 6 Liu, Ji 6 Tanaka, Yuya 5 Guo, Shangjiang 5 Negreanu, Mihaela 5 Wang, Wei 5 Yokota, Tomomi 4 Cao, Xinru 4 Fuest, Mario 4 Hu, Xuegang 4 Issa, Tahir Bachar 4 Jiang, Jie 4 Kurt, Halil Ibrahim 4 Li, Zhongping 4 Liu, Zuhan 4 Tao, Youshan 4 Wang, Yifu 4 Wang, Yulan 4 Wu, Chunyan 4 Xiang, Tian 4 Xiang, Yuting 4 Xu, Lu 4 Zhou, Ling 3 Ahn, Jaewook 3 Arumugam, Gurusamy 3 Ding, Mengyao 3 Kurima, Shunsuke 3 Lee, Jihoon 3 Salako, Rachidi Bolaji 3 Tao, Weirun 3 Tello, José Ignacio 3 Wu, Jie 3 Xing, Jie 3 Yang, Hongying 3 Zhang, Jing 3 Zhang, Qingshan 3 Zhao, Qian 3 Zhao, Xiangdong 3 Zheng, Sining 3 Zhou, Xing 2 Bellomo, Nicola 2 Chen, Yao 2 Chiyo, Yutaro 2 Fu, Shengmao 2 Hu, Runlin 2 Jiang, Kerui 2 Jin, Haiyang 2 Kang, Kyungkeun 2 Ke, Yuanyuan 2 Knosalla, Piotr 2 Lankeit, Elisa 2 Li, Bin 2 Li, Yan 2 Lin, Ke 2 Liu, Suying 2 Ma, Heping 2 Nagarajan, Nithyadevi 2 Shanmugasundaram, Gnanasekaran 2 Tian, Yu 2 Viglialoro, Giuseppe 2 Wang, Mingxin 2 Wang, Yizhuo 2 Wu, Duan 2 Xie, Jianing 2 Xie, Li 2 Xin, Qiao 2 Xu, Guangyu 2 Yang, Li 2 Zhang, Rong 2 Zhou, Ju 1 Amorim, Paulo 1 Baghaei, Khadijeh 1 Bao, Lianzhang 1 Belopol’skaya, Yana Isaevna 1 Benhayoun, Mohamed 1 Benzaouia, Abdellah 1 Braukhoff, Marcel 1 Bürger, Raimund 1 Cao, Ruxi 1 Caucao, Sergio 1 Chen, Shuhong 1 Colmenares, Eligio 1 Dami, Laila 1 Du, Wenping ...and 114 more Authors all top 5 Cited in 59 Serials 31 Journal of Differential Equations 28 Discrete and Continuous Dynamical Systems. Series B 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Nonlinear Analysis. Real World Applications 18 Journal of Mathematical Analysis and Applications 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Acta Applicandae Mathematicae 10 Calculus of Variations and Partial Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Nonlinearity 5 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Physics 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics Letters 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 Electronic Research Archive 2 Computers & Mathematics with Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Biomathematics 2 Advances in Nonlinear Analysis 2 East Asian Journal on Applied Mathematics 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Korean Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 European Journal of Applied Mathematics 1 Multidimensional Systems and Signal Processing 1 Communications in Partial Differential Equations 1 Journal of Partial Differential Equations 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 Journal of Inequalities and Applications 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 Advanced Nonlinear Studies 1 Advances in Mathematical Physics 1 Evolution Equations and Control Theory 1 Journal of Applied Nonlinear Dynamics 1 Journal of Elliptic and Parabolic Equations 1 Transactions of the American Mathematical Society. Series B 1 Mathematics in Engineering all top 5 Cited in 12 Fields 257 Partial differential equations (35-XX) 240 Biology and other natural sciences (92-XX) 16 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year