Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion
type: Item
instance of: scholarly article
title: Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion
zbMATH Open document ID: 1436.35005
author: G. Arumugam
author: André H. Erhardt
author: Indurekha Eswaramoorthy
author: Krishnan Balachandran
published in: Nonlinear Analysis. Real World Applications
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
zbMATH DE Number: 7189394
zbMATH Keywords: Keller-Segel system
zbMATH Keywords: Schauder's fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2020.103090
OpenAlex ID: W3004018638
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
cites work: On a multiscale model involving cell contractivity and its effects on tumor invasion
cites work: Development and applications of a model for cellular response to multiple chemotactic cues
cites work: Q4274312
cites work: Q3412821
cites work: Model for chemotaxis
cites work: ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT
cites work: Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
cites work: On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
cites work: Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
cites work: Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system
cites work: Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
cites work: Existence and uniqueness of solutions of degenerate chemotaxis system
cites work: Global existence and boundedness of classical solutions in a quasilinear parabolic-elliptic chemotaxis system with logistic source
cites work: A Chemotaxis System with Logistic Source
cites work: Chemotaxis with logistic source: very weak global solutions and their boundedness properties
cites work: Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
cites work: The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
cites work: Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
cites work: Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
cites work: Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
cites work: Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity
cites work: Boundedness in a fully parabolic chemotaxis system with singular sensitivity
cites work: Global solutions in a fully parabolic chemotaxis system with singular sensitivity
cites work: Global boundedness in a quasilinear chemotaxis system with signal-dependent sensitivity
cites work: Global existence and blow up of solutions of quasilinear chemotaxis system
cites work: Global weak solutions in a chemotaxis system with large singular sensitivity
cites work: A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
cites work: Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption
cites work: On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms
cites work: Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Possibility of the existence of blow‐up solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type
cites work: On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity
cites work: Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
cites work: Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
cites work: A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
cites work: Spatial pattern formation in a chemotaxis-diffusion-growth model
cites work: Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system
cites work: Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
cites work: Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2
cites work: Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model
cites work: On a class of Keller-Segel chemotaxis systems with cross-diffusion
cites work: Local well posedness and instability of travelling waves in a chemotaxis model
cites work: Analysis of a parabolic cross-diffusion population model without self-diffusion
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion
cites work: Q5562267
cites work: Q4793639
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q4332942
DOI: 10.1016/J.NONRWA.2020.103090
description: scientific article; zbMATH DE number 7189394