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
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Czech description
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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