@misc{10481/109427,
year = {2020},
month = {11},
url = {https://hdl.handle.net/10481/109427},
abstract = {The parabolic-parabolic Keller-Segel model of chemotaxis is shown to come up as the hydrodynamic system describing the evolution of the modulus square n(t,x) and the argument S(t,x) of a wavefunction ψ = √n exp(iS) that solves a cubic Schrödinger equation with focusing interaction, frictional Kostin nonlinearity and Doebner-Goldin dissipation mechanism. This connection is then exploited to construct a family of quasi-stationary solutions to the Keller-Segel system under the influence of no-flux and anti-Fick laws},
organization = {MINECO-Feder (Spain) research grant number RTI2018-098850-B-I00},
organization = {Junta de Andalucía (Spain) Project PY18-RT-2422 & A-FQM-311-UGR18},
publisher = {American Institute of Mathematical Sciences (AIMS)},
title = {A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation},
doi = {10.3934/dcds.2020376},
author = {López Fernández, José Luis},
}