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Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00458505" target="_blank" >RIV/67985840:_____/16:00458505 - isvavai.cz</a>

  • Alternative codes found

    RIV/60076658:12310/16:43890747

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.na.2016.01.006" target="_blank" >http://dx.doi.org/10.1016/j.na.2016.01.006</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.na.2016.01.006" target="_blank" >10.1016/j.na.2016.01.006</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas

  • Original language description

    For a reaction–diffusion system which is subject to Turing’s diffusion-driven instability and which is equipped with unilateral obstacles of various types, the nonexistence of bifurcation of stationary solutions near certain critical parameter values is proved. The result implies assertions about a related mapping degree which in turn implies for “small obstacles the existence of a new branch of bifurcation points (spatial patterns) induced by the obstacle.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis: Theory, Methods & Applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    135

  • Issue of the periodical within the volume

    April

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    36

  • Pages from-to

    158-193

  • UT code for WoS article

    000371885600009

  • EID of the result in the Scopus database

    2-s2.0-84959010677