A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation
zbMATH Open document ID: 1465.35273
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-06-08T00:00:00Z
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7356250
zbMATH Keywords: cubic nonlinearity
zbMATH Keywords: Kostin nonlinearity
zbMATH Keywords: quantum dissipation
zbMATH Keywords: Doebner-Goldin equations
zbMATH Keywords: Keller-Segel system
zbMATH Keywords: quasi-stationary solutions
author: José Luis López
MaRDI profile type: Publication
full work available at URL: dcds.2020376
OpenAlex ID: W3105027034
cites work: Dual variational methods in critical point theory and applications
cites work: Finite propagation speed for limited flux diffusion equations
cites work: Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models
cites work: On a class of homogeneous nonlinear Schrödinger equations
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
cites work: About the kinetic description of fractional diffusion equations modeling chemotaxis
cites work: The one-dimensional Keller–Segel model with fractional diffusion of cells
cites work: Path integral approach to quantum Brownian motion
cites work: Flux-saturated porous media equations and applications
cites work: Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension
cites work: Traveling wave and aggregation in a flux-limited Keller-Segel model
cites work: On the stability of homogeneous steady states of a chemotaxis system with logistic growth term
cites work: Resonance phenomenon for a Gelfand-type problem
cites work: On a chemotaxis model with saturated chemotactic flux
cites work: Collapsing steady states of the Keller–Segel system
cites work: Logarithmic scaling of the collapse in the critical Keller-Segel equation
cites work: The fractional Keller–Segel model
cites work: Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
cites work: Q5187597
cites work: Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation
cites work: Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$
cites work: Q4703032
cites work: Curvature functions for compact 2-manifolds
cites work: Model for chemotaxis
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Global solutions in a fully parabolic chemotaxis system with singular sensitivity and nonlinear signal production
cites work: Boundedness in a chemotaxis system with nonlinear signal production
cites work: A hydrodynamic approach to multidimensional dissipation-based Schrödinger models from quantum Fokker-Planck dynamics
cites work: On a rigorous interpretation of the quantum Schrödinger-Langevin operator in bounded domains with applications
cites work: Critical chemotactic collapse
cites work: Q3412821
cites work: The flux limited Keller-Segel system; properties and derivation from kinetic equations
cites work: Oscillatory motion in confined potential systems with dissipation in the context of the Schrödinger-Langevin-Kostin equation
cites work: Stationary Solutions of Chemotaxis Systems
cites work: Steady state solutions of a reaction-diffusion system modeling chemotaxis
cites work: Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production
DOI: 10.3934/DCDS.2020376
description: scientific article; zbMATH DE number 7356250