IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2407.05804.html
   My bibliography  Save this paper

Pattern formation by advection-diffusion in new economic geography

Author

Listed:
  • Kensuke Ohtake

Abstract

A new economic geography model is proposed in which the migration of mobile workers is proximate and perturbed by non-economic factors. The model consists of a tractable core-periphery model assuming a quasi-linear log utility function of consumers and an advection-diffusion equation governing the time evolution of a population distribution. The stability of a spatially homogeneous stationary solution and the large time behavior of solutions to the model on a one-dimensional periodic space are investigated. When the spatially homogeneous stationary solution is unstable, solutions starting around it are found to eventually form spatial patterns with several urban areas in which mobile workers agglomerate.

Suggested Citation

  • Kensuke Ohtake, 2024. "Pattern formation by advection-diffusion in new economic geography," Papers 2407.05804, arXiv.org.
    • Handle: RePEc:arx:papers:2407.05804
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2407.05804
    File Function: Latest version
    Download Restriction: no
    ---><---

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2407.05804. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.