J 2025

Conservation laws for extended generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation in any dimension

HOLBA, Pavel

Basic 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

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

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.