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Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000136" target="_blank" >RIV/47813059:19610/23:A0000136 - isvavai.cz</a>

  • Result on the web

    <a href="https://onlinelibrary.wiley.com/doi/10.1111/sapm.12576" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1111/sapm.12576</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1111/sapm.12576" target="_blank" >10.1111/sapm.12576</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation

  • Original language description

    In this paper, we consider nonlinear multidimensional Cahn-Hilliard and Kuramoto-Sivashinsky equations that have many important applications in physics and chemistry, and a certain natural generalization of these two equations to which we refer to as the generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation. For an arbitrary number of spatial independent variables, we present a complete list of cases when the latter equation admits nontrivial local conservation laws of any order, and for each of those cases, we give an explicit form of all the local conservation laws of all orders modulo trivial ones admitted by the equation under study. In particular, we show that the original Kuramoto-Sivashinsky equation admits no nontrivial local conservation laws, and find all nontrivial local conservation laws for the Cahn-Hilliard equation.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Studies in Applied Mathematics

  • ISSN

    0022-2526

  • e-ISSN

    1467-9590

  • Volume of the periodical

    151

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    171-182

  • UT code for WoS article

    000954592000001

  • EID of the result in the Scopus database

    2-s2.0-85150931736