2026-04-13T19:32:59Zhttps://recercat.cat/oai/requestoai:recercat.cat:10256/261662025-02-04T05:53:04Zcom_2072_452955com_2072_2054col_2072_453069
RECERCAT
author
Menacho, Joaquín
author
Pellicer Sabadí, Marta
author
Solà-Morales i Rubió, Joan de
2025-02-04T05:53:04Z
2025-02-04T05:53:04Z
2025
http://hdl.handle.net/10256/26166
In this work, we consider the so-called correlated random walk system (also known as correlated motion or persistent motion system), used in biological modelling, among other fields, such as chromatography. This is a linear system which can also be seen as a weakly damped wave equation with certain boundary conditions. We are interested in the long-time behaviour of its solutions. To be precise, we will prove that the decay of the solutions to this problem is of exponential form, where the optimal decay rate exponent is given by the dominant eigenvalue of the corresponding operator. This eigenvalue can be obtained as a particular solution of a system of transcendental equations. A complete description of the spectrum of the operator is provided, together with a comprehensive analysis of the corresponding eigenfunctions and their geometry
Tots els drets reservats info:eu-repo/semantics/openAccess
Rutes aleatòries (Matemàtica)
Cromatografia
Random walks (Mathematics)
Chromatography
Long-time behaviour of the correlated random walk system
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion peer-reviewed