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On the number of stationary patterns in reaction-diffusion systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00450753" target="_blank" >RIV/67985840:_____/15:00450753 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the number of stationary patterns in reaction-diffusion systems

  • Original language description

    We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion systém designed to model coat patterns in leopard and jaguar.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Applications of Mathematics 2015

  • ISBN

    978-80-85823-65-3

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    206-216

  • Publisher name

    Institute of Mathematics CAS

  • Place of publication

    Prague

  • Event location

    Prague

  • Event date

    Nov 18, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article