2023
Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation
HOLBA, PavelBasic information
Original name
Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation
Authors
HOLBA, Pavel (203 Czech Republic, guarantor, belonging to the institution)
Edition
Studies in Applied Mathematics, Hoboken (USA), WILEY, 2023, 0022-2526
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.600
RIV identification code
RIV/47813059:19610/23:A0000136
Organization unit
Mathematical Institute in Opava
UT WoS
000954592000001
EID Scopus
2-s2.0-85150931736
Keywords in English
Cahn-Hilliard equation; conservation laws; Kuramoto-Sivashinsky equation
Tags
Tags
International impact, Reviewed
Changed: 27/3/2024 14:33, Mgr. Aleš Ryšavý
Abstract
In the original language
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.