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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…
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Keywords:
time;
parabolic elliptic;
problem;
singularity ... See more keywords
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Published in 2020 at "Results in Mathematics"
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…
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Keywords:
transport networks;
parabolic system;
system;
parabolic elliptic ... See more keywords
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Published in 2021 at "Journal of Differential Equations"
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…
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Keywords:
ion transport;
transport networks;
elliptic system;
parabolic elliptic ... See more keywords
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Published in 2020 at "Applicable Analysis"
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…
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Keywords:
system;
parabolic elliptic;
growth system;
system nonlinear ... See more keywords
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Published in 2020 at "Applicable Analysis"
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…
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Keywords:
system;
parabolic elliptic;
elliptic chemotaxis;
asymptotic stability ... See more keywords
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Published in 2018 at "Boundary Value Problems"
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…
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Keywords:
elliptic keller;
parabolic elliptic;
segel system;
keller segel ... See more keywords