2025
Conservation laws for extended generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation in any dimension
HOLBA, PavelBasic information
Original name
Conservation laws for extended generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation in any dimension
Authors
HOLBA, Pavel
Edition
Journal of Mathematical Chemistry, New York, Springer, 2025, 0259-9791
Other information
Language
English
Type of outcome
Article in a journal
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.000 in 2024
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
UT WoS
001454884700001
EID Scopus
2-s2.0-105001384912
Keywords in English
Cahn–Hilliard equation; Conservation laws; Kuramoto–Sivashinsky equation; Nonlinear evolution equations; Nonlinear PDEs
Tags
Tags
International impact, Reviewed
Changed: 24/2/2026 13:31, Mgr. Aleš Ryšavý
Abstract
In the original language
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.