Global radial renormalized solution to a producer–scrounger model with singular sensitivities
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Publication:5127157
DOI10.1142/S0218202520400084zbMath1452.35215MaRDI QIDQ5127157
Publication date: 21 October 2020
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
- Unnamed Item
- Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global stability of prey-taxis systems
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
- Singular sensitivity in a Keller-Segel-fluid system
- Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
- Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Global existence and boundedness of classical solutions to a forager-exploiter model with volume-filling effects
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
- Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
- Pattern formation in prey-taxis systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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