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Communications in Partial Differential Equations Volume 47, 2022 - Issue 2
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Articles

Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient

J. Ignacio TelloDepartamento de Matemáticas Fundamentales, Facultad de Ciencias, Universidad Nacional de Educación a Distancia, Madrid, SpainCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-2671-7803View further author information
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Pages 307-345 | Received 16 Dec 2020, Accepted 24 Aug 2021, Published online: 08 Sep 2021

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Hui Wang & Pan Zheng. (2023) Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation. Applicable Analysis 102:18, pages 5045-5061.
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Articles from other publishers (12)

Xuan Mao & Yuxiang Li. (2024) Instability of homogeneous steady states in chemotaxis systems with flux limitation. Nonlinear Analysis 243, pages 113527.
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Shohei Kohatsu. (2024) Boundedness and Finite-Time Blow-up in a Chemotaxis System with Flux Limitation and Logistic Source. Acta Applicandae Mathematicae 191:1.
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Shohei Kohatsu. (2024) Finite-time blow-up of weak solutions to a chemotaxis system with gradient dependent chemotactic sensitivity. Journal of Mathematical Analysis and Applications 531:1, pages 127820.
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Anjali Jaiswal & Jagmohan Tyagi. (2024) Finite time blow-up in a parabolic–elliptic Keller–Segel system with flux dependent chemotactic coefficient. Nonlinear Analysis: Real World Applications 75, pages 103985.
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Zhan Jiao, Irena Jadlovská & Tongxing Li. (2023) Combined effects of nonlinear diffusion and gradient-dependent flux limitation on a chemotaxis–haptotaxis model. Zeitschrift für angewandte Mathematik und Physik 75:1.
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Zhan Jiao, Irena Jadlovská & Tongxing Li. (2024) Analysis of an SIS reaction-diffusion-chemotaxis epidemic model with gradient-dependent flux limitation and standard incidence. Discrete and Continuous Dynamical Systems - B 0:0, pages 0-0.
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Duan Wu. (2023) Global bounded solution to a forager-exploiter model with gradient dependent chemotactic coefficients. Journal of Mathematical Analysis and Applications 527:1, pages 127398.
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Xuan Mao & Yuxiang Li. (2023) Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity. Mathematical Models and Methods in Applied Sciences 33:11, pages 2395-2423.
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Lucio Boccardo & J. Ignacio Tello. (2023) A nonlinear elliptic system with a transport term and singular data. Zeitschrift für angewandte Mathematik und Physik 74:5.
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Silvia Sastre‐Gomez & Jose Ignacio Tello. (2023) On the existence of solutions for a parabolic‐elliptic chemotaxis model with flux limitation and logistic source. Mathematical Methods in the Applied Sciences 46:8, pages 9252-9267.
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Lucio Boccardo & J. Ignacio Tello. (2022) On an elliptic chemotaxis system with flux limitation and subcritical signal production. Applied Mathematics Letters 134, pages 108299.
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J. Ignacio Tello. (2022) Radially symmetric solutions for a Keller-Segel system with flux limitation and nonlinear diffusion. Discrete and Continuous Dynamical Systems - S 15:10, pages 3003.
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