Conservation laws for extended generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation in any dimension
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F25%3AA0000183" target="_blank" >RIV/47813059:19610/25:A0000183 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10910-025-01717-w" target="_blank" >https://link.springer.com/article/10.1007/s10910-025-01717-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10910-025-01717-w" target="_blank" >10.1007/s10910-025-01717-w</a>
Alternative languages
Result language
angličtina
Original language name
Conservation laws for extended generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation in any dimension
Original language description
We present a complete characterization of nontrivial local conservation laws for the extended generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation in any space dimension. This equation naturally generalizes the well-known and widely used Cahn–Hilliard and Kuramoto–Sivashinsky equations, which have manifold applications in chemistry, physics, and biology. In particular, we demonstrate that any nontrivial local conservation law of any order for the equation under study is equivalent to a conservation law whose density is linear in the dependent variable with the coefficient at the dependent variable depending at most on the independent variables.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Chemistry
ISSN
0259-9791
e-ISSN
1572-8897
Volume of the periodical
63
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
1312-1322
UT code for WoS article
001454884700001
EID of the result in the Scopus database
2-s2.0-105001384912