Nonnegative solutions to time fractional Keller–Segel system
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DOI: 10.1002/mma.6880
Abstract: We establish the existence of nonnegative weak solutions to time fractional Keller–Segel system with Dirichlet boundary condition in a bounded domain with smooth boundary. Since the considered system has a cross‐diffusion term and the corresponding… read more here.
Keywords: keller segel; system; solutions time; segel system ... See more keywords
On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states
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DOI: 10.1002/mma.7455
Abstract: This paper is concerned with a parabolic‐elliptic Keller–Segel system where both diffusive and chemotactic coefficients (motility functions) depend on the chemical signal density. This system was originally proposed by Keller and Segel to describe the… read more here.
Keywords: keller segel; system; segel system; signal dependent ... See more keywords
Global Boundedness of the Fully Parabolic Keller-Segel System with Signal-Dependent Motilities
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DOI: 10.1007/s10440-021-00392-8
Abstract: This paper establishes the global uniform-in-time boundedness of solutions to the following Keller-Segel system with signal-dependent diffusion and chemotaxis { u t = ∇ ⋅ ( γ ( v ) ∇ u − u ϕ… read more here.
Keywords: keller; segel system; keller segel; phi ... See more keywords
The variational formulation of the fully parabolic Keller–Segel system with degenerate diffusion
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DOI: 10.1016/j.jde.2017.03.020
Abstract: Abstract We prove the time-global existence of solutions of the degenerate Keller–Segel system in higher dimensions, under the assumption that the mass of the first component is below a certain critical value. What we deal… read more here.
Keywords: segel system; system; time; keller segel ... See more keywords
Blow-up and delay for a parabolic–elliptic Keller–Segel system with a source term
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DOI: 10.1186/s13661-018-1013-z
Abstract: In this paper, we are concerned with the parabolic–elliptic Keller–Segel system with a positive source term in a bounded domain in RN${\mathbb{R}}^{N}$ (N=2,3$N=2,3$), under homogeneous Dirichlet boundary condition, with time-dependent coefficients. Lower bounds for the… read more here.
Keywords: elliptic keller; parabolic elliptic; segel system; keller segel ... See more keywords