Edit Profile (opens in new tab) Fuest, Mario Co-Author Distance Author ID: fuest.mario Published as: Fuest, Mario Homepage: https://www.ifam.uni-hannover.de/de/fuest/ External Links: MGP · ORCID · arXiv · Google Scholar · dblp Documents Indexed: 23 Publications since 2019, including 6 Additional arXiv Preprints Reviewing Activity: 5 Reviews Co-Authors: 13 Co-Authors with 12 Joint Publications 244 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 Lankeit, Johannes 2 Black, Tobias 2 Heydari, Shahin 2 Mizukami, Masaaki 1 Cieślak, Tomasz 1 Hajduk, Karol W. 1 Heihoff, Frederic 1 Knobloch, Petr 1 Sierżȩga, Mikołaj 1 Tanaka, Yuya 1 Wick, Thomas 1 Winkler, Michael 1 Yan, Jianlu all top 5 Serials 2 Nonlinearity 2 Journal of Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics Letters 1 SIAM Journal on Mathematical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Evolution Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis Fields 23 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 201 times in 149 Documents Cited by ▼ Year ▼ Global solutions near homogeneous steady states in a multidimensional population model with both predator- and prey-taxis. Zbl 1458.35222 Fuest, Mario 31 2020 Analysis of a chemotaxis model with indirect signal absorption. Zbl 1419.35094 Fuest, Mario 30 2019 Approaching optimality in blow-up results for Keller-Segel systems with logistic-type dampening. Zbl 1471.35062 Fuest, Mario 28 2021 Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source. Zbl 1471.92060 Fuest, Mario 24 2020 When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? Zbl 1472.35413 Yan, Jianlu; Fuest, Mario 19 2021 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 Boundedness enforced by mildly saturated conversion in a chemotaxis-May-Nowak model for virus infection. Zbl 1412.35340 Fuest, Mario 16 2019 Blow-up profiles in quasilinear fully parabolic Keller-Segel systems. Zbl 1481.35084 Fuest, Mario 10 2020 Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model. Zbl 1455.35267 Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki 10 2021 Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253 Fuest, Mario 6 2022 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 On the optimality of upper estimates near blow-up in quasilinear Keller-Segel systems. Zbl 1496.35116 Fuest, Mario 2 2022 Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems. Zbl 1518.35027 Fuest, Mario 2 2023 Global existence of classical solutions and numerical simulations of a cancer invasion model. Zbl 1522.35006 Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas 2 2023 Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness. Zbl 1518.35593 Fuest, Mario 1 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 Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems. Zbl 1518.35027 Fuest, Mario 2 2023 Global existence of classical solutions and numerical simulations of a cancer invasion model. Zbl 1522.35006 Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas 2 2023 Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness. Zbl 1518.35593 Fuest, Mario 1 2023 Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253 Fuest, Mario 6 2022 On the optimality of upper estimates near blow-up in quasilinear Keller-Segel systems. Zbl 1496.35116 Fuest, Mario 2 2022 Approaching optimality in blow-up results for Keller-Segel systems with logistic-type dampening. Zbl 1471.35062 Fuest, Mario 28 2021 When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? Zbl 1472.35413 Yan, Jianlu; Fuest, Mario 19 2021 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 Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model. Zbl 1455.35267 Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki 10 2021 Global solutions near homogeneous steady states in a multidimensional population model with both predator- and prey-taxis. Zbl 1458.35222 Fuest, Mario 31 2020 Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source. Zbl 1471.92060 Fuest, Mario 24 2020 Blow-up profiles in quasilinear fully parabolic Keller-Segel systems. Zbl 1481.35084 Fuest, Mario 10 2020 Analysis of a chemotaxis model with indirect signal absorption. Zbl 1419.35094 Fuest, Mario 30 2019 Boundedness enforced by mildly saturated conversion in a chemotaxis-May-Nowak model for virus infection. Zbl 1412.35340 Fuest, Mario 16 2019 all cited Publications top 5 cited Publications all top 5 Cited by 165 Authors 14 Winkler, Michael 13 Zheng, Pan 11 Fuest, Mario 9 Lankeit, Johannes 7 Yokota, Tomomi 6 Liu, Bin 6 Lyu, Wenbin 6 Tanaka, Yuya 5 Black, Tobias 5 Xing, Jie 4 Chiyo, Yutaro 4 Dai, Feng 4 Li, Zhongping 4 Ren, Guoqiang 4 Shan, Wenhai 4 Tao, Youshan 4 Wang, Liangchen 3 Frassu, Silvia 3 Heihoff, Frederic 3 Jin, Haiyang 3 Liu, Suying 3 Mizukami, Masaaki 3 Pan, Xu 3 Viglialoro, Giuseppe 3 Wang, Changjian 3 Wang, Zhian 3 Xiang, Tian 3 Zhang, Wenji 2 Bellomo, Nicola 2 Burini, Diletta 2 Chen, Mengxin 2 Chouhad, Nadia 2 Corrêa Vianna Filho, André Luiz 2 Ding, Mengyao 2 Guillén González, Francisco M. 2 Heydari, Shahin 2 Hu, Xuegang 2 Kang, Kyungkeun 2 Knobloch, Petr 2 Knosalla, Piotr 2 Kurt, Halil Ibrahim 2 Marras, Monica 2 Mu, Chunlai 2 Shen, Wenxian 2 Tao, Xueyan 2 Wang, Jianping 2 Wang, Yifu 2 Wick, Thomas 2 Wu, Chunyan 2 Wu, Leyun 2 Xiang, Yuting 2 Xie, Zhoumeng 2 Xu, Guangyu 2 Xu, Lu 2 Zhang, Qingshan 2 Zheng, Zi-Han 1 Ahn, Inkyung 1 Ahn, Jaewook 1 Al Agha, Afnan D. 1 Arumugam, Gurusamy 1 Aswin, V. S. 1 Belabbas, Mustapha 1 Cao, Xinru 1 Chamakuri, Nagaiah 1 Dai, Pan 1 Dong, Ying 1 Du, Wenping 1 Düzgün, Fatma Gamze 1 Elaiw, Ahmed M. 1 Fang, Zhongbo 1 Gaffney, Eamonn A. 1 Gao, Zhangqin 1 Han, Renji 1 Han, Yongjie 1 Hou, Qianqian 1 Hu, Qiaoling 1 Hu, Runlin 1 Huang, Jinfeng 1 Jiang, Ke 1 Jin, Chunhua 1 Kim, Dongkwang 1 Krause, Andrew L. 1 Lee, Jihoon 1 Li, Bin 1 Li, Dan 1 Li, Erhui 1 Li, Jingyu 1 Li, Ruijing 1 Li, Shanbing 1 Li, Songzhi 1 Li, Tongxing 1 Liao, Guangyuan 1 Liu, Changchun 1 Liu, Ji 1 Liu, Xiuran 1 Liu, Yong 1 Lu, Guanhua 1 Luo, Yong 1 Lv, Wenbin 1 Maini, Philip Kumar ...and 65 more Authors all top 5 Cited in 47 Serials 19 Discrete and Continuous Dynamical Systems. Series B 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Nonlinear Analysis. Real World Applications 9 Journal of Differential Equations 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Journal of Mathematical Analysis and Applications 7 Applied Mathematics Letters 5 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Mathematical Analysis 4 Nonlinearity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Physics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mathematical Biosciences and Engineering 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Physica A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Mathematische Nachrichten 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Asymptotic Analysis 1 SIAM Journal on Applied Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Evolution Equations and Control Theory 1 East Asian Journal on Applied Mathematics all top 5 Cited in 10 Fields 146 Partial differential equations (35-XX) 137 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year