Critical mass phenomenon for a parabolic–elliptic multispecies chemotaxis system in a two‐dimensional disk
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10040
Abstract: A parabolic–elliptic Keller–Segel model for multipopulations in a two‐dimensional unit ball will be considered in this paper. For the initial boundary value problem with mutually attractive populations, the global existence of bounded solutions has been… read more here.
Keywords: system; mass phenomenon; parabolic elliptic; two dimensional ... See more keywords
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
Sign Up to like & getrecommendations! 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… 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
Sign Up to like & getrecommendations! 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… 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
Sign Up to like & getrecommendations! 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… 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
Sign Up to like & getrecommendations! 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… read more here.
Keywords: system; parabolic elliptic; elliptic chemotaxis; asymptotic stability ... See more keywords
On asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifolds
Sign Up to like & getrecommendations! Published in 2024 at "Dynamical Systems"
DOI: 10.1080/14689367.2024.2360204.
Abstract: ABSTRACT In this article, we investigate the existence, uniqueness and exponential decay of asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on a real hyperbolic manifold. We prove the existence and uniqueness of such… read more here.
Keywords: asymptotically almost; solutions parabolic; almost periodic; parabolic elliptic ... See more keywords
Blow-up and delay for a parabolic–elliptic Keller–Segel system with a source term
Sign Up to like & getrecommendations! 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… read more here.
Keywords: elliptic keller; parabolic elliptic; segel system; keller segel ... See more keywords