Generalized Global Supersolutions with Mass Control for Systems with Taxis
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Publication:5231314
DOI10.1137/18M1217826zbMath1428.35078arXiv1806.06715OpenAlexW2808663083MaRDI QIDQ5231314
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06715
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)
Related Items (8)
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions ⋮ $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation ⋮ Can Dirac-type singularities in Keller-Segel systems be ruled out by power-type singular sensitivities? ⋮ Facing low regularity in chemotaxis systems ⋮ Global solvability in a two-species chemotaxis system with logistic source ⋮ Global solvability in a Keller-Segel-growth system with indirect signal production ⋮ Immediate smoothing and global solutions for initial data inL1×W1,2in a Keller–Segel system with logistic terms in 2D ⋮ Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence for a degenerate haptotaxis model of cancer invasion
- Well-posedness of a model of point dynamics for a limit of the Keller-Segel system
- The two-dimensional Keller-Segel model after blow-up
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate
- Compact sets in the space \(L^ p(0,T;B)\)
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity
- Measure valued solutions of the 2D Keller-Segel system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- On the theory of divergence-measure fields and its applications
- A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis
- Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
- Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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