J 2023

Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation

HOLBA, Pavel

Basic 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

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Studies in Applied Mathematics

RIV identification code

RIV/47813059:19610/23:A0000136

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1111/sapm.12576

UT WoS

000954592000001

Keywords in English

Cahn-Hilliard equation; conservation laws; Kuramoto-Sivashinsky equation

Tags

, SGS-13-2020

Tags

International impact, Reviewed
Změněno: 27/3/2024 14:33, Mgr. Aleš Ryšavý

Abstract

V originále

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.
Displayed: 6/11/2024 19:09