Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6850
Abstract: A time fractional initial boundary value problem of mixed parabolic–elliptic type is considered. The domain of such problem is divided into two subdomains. A reaction–diffusion parabolic problem is considered on the first domain, and on… read more here.
Keywords: time; parabolic elliptic; problem; singularity ... See more keywords
Global Existence and Decay Estimates of Solutions of a Parabolic–Elliptic–Parabolic System for Ion Transport Networks
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DOI: 10.1007/s00025-020-1172-y
Abstract: This paper deals with a parabolic-elliptic-parabolic system arising from ion transport networks originally proposed by Albi et al. (Anal Appl 14(1):185–206, 2016). Our investigation demonstrates that the local existence of the weak solution can always… read more here.
Keywords: transport networks; parabolic system; system; parabolic elliptic ... See more keywords
Global existence and eventual smoothness in a 2-D parabolic-elliptic system arising from ion transport networks
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DOI: 10.1016/j.jde.2021.09.040
Abstract: Abstract The aim of this paper is to investigate a parabolic-elliptic system, which was proposed by Albi et al (2016) to describe the evolution of ion transport networks. Our first result asserts that the corresponding… read more here.
Keywords: ion transport; transport networks; elliptic system; parabolic elliptic ... See more keywords
A quasilinear parabolic–elliptic chemotaxis-growth system with nonlinear secretion
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DOI: 10.1080/00036811.2018.1489955
Abstract: ABSTRACT This paper deals with the parabolic–elliptic chemotaxis-growth system with nonlinear secretion under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary, where , a>0, b>0, r>1, and is a smooth function satisfying… read more here.
Keywords: system; parabolic elliptic; growth system; system nonlinear ... See more keywords
Global asymptotic stability in a parabolic–elliptic chemotaxis system with competitive kinetics and loop
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DOI: 10.1080/00036811.2020.1783536
Abstract: This paper deals with the initial-boundary value problem for the two-species chemotaxis-competition system with two signals ∂ t u 1 = Δ u 1 − χ 11 ∇ ⋅ ( u 1 ∇ v 1… read more here.
Keywords: system; parabolic elliptic; elliptic chemotaxis; asymptotic stability ... 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