Global weak solutions of a parabolic-elliptic Keller-Segel system with gradient dependent chemotactic coefficients
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Publication:2697303
DOI10.3934/dcdsb.2023002OpenAlexW4319316684MaRDI QIDQ2697303
Anjali Jaiswal, Poonam Rani, Jagmohan Tyagi
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023002
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations with (p)-Laplacian (35K92)
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Cites Work
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- Some qualitative questions on the equation \(-\operatorname{div}(a(x,u,u))=f(x,u)\)
- Blow-up profiles for a semilinear chemotaxis system arising in biology
- Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- A degenerate \(p\)-Laplacian Keller-Segel model
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Initiation of slime mold aggregation viewed as an instability
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production
- On a parabolic-elliptic system with gradient dependent chemotactic coefficient
- Blow-up profiles and refined extensibility criteria in quasilinear Keller-Segel systems
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Semi-linear second-order elliptic equations in \(L^1\)
- Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
- Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
- Keller-Segel chemotaxis models: a review
- On an elliptic chemotaxis system with flux limitation and subcritical signal production
- Global weak solutions for a 3D chemotaxis-Stokes system with slow \(p\)-Laplacian diffusion and rotation
- Boundedness of weak solutions of a chemotaxis-Stokes system with slow \(p\)-Laplacian diffusion
- Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
- Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
- Global boundedness and large time behavior of solutions to a chemotaxis system with flux limitation
- Radially symmetric solutions for a Keller-Segel system with flux limitation and nonlinear diffusion
- Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- Finite-time blow-up in a quasilinear system of chemotaxis
- MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Elliptic Partial Differential Equations of Second Order
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation
- On a parabolic-parabolic system with gradient dependent chemotactic coefficient and consumption
- Global weak solution in a p-Laplacian Keller–Segel system with nonlinear sensitivity and saturation effect
- Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
- Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation
- On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
- Superlinear Parabolic Problems
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity