J 2024

Complete Description of Local Conservation Laws for Generalized Dissipative Westervelt Equation

SERGYEYEV, Artur

Basic information

Original name

Complete Description of Local Conservation Laws for Generalized Dissipative Westervelt Equation

Authors

SERGYEYEV, Artur (804 Ukraine, guarantor, belonging to the institution)

Edition

Qualitative Theory of Dynamical Systems, Basel, Switzerland, Springer Basel AG, 2024, 1575-5460

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Switzerland

Confidentiality degree

is not subject to a state or trade secret

Impact factor

Impact factor: 1.400 in 2022

Organization unit

Mathematical Institute in Opava

UT WoS

001238683700001

Keywords in English

Conservation laws; Generalized dissipative Westervelt equation; Nonlinear acoustics; Nonlinear PDEs

Tags

Tags

International impact, Reviewed
Changed: 6/3/2025 14:07, Mgr. Aleš Ryšavý

Abstract

V originále

We give a complete description of inequivalent nontrivial local conservation laws of all orders for a natural generalization of the dissipative Westervelt equation and, in particular, show that the equation under study admits an infinite number of inequivalent nontrivial local conservation laws for the case of more than two independent variables.