2024
Persistence and asymptotic analysis of solutions of nonlinear wave equations
LEITE FREIRE, IgorBasic information
Original name
Persistence and asymptotic analysis of solutions of nonlinear wave equations
Authors
LEITE FREIRE, Igor
Edition
Journal of Evolution Equations, Basel (Switzerland), Springer Basel AG, 2024, 1424-3199
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
References:
Impact factor
Impact factor: 1.200
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
Conserved quantities; Generalised hyperelastic rod equation; Persistence of decay rates; Shallow water models
Tags
Tags
International impact, Reviewed
Changed: 19/3/2026 11:29, Mgr. Aleš Ryšavý
Abstract
In the original language
We consider persistence properties of solutions for a generalised wave equation including vibration in elastic rods and shallow water models, such as the BBM, the Dai’s, the Camassa–Holm, and the Dullin–Gottwald–Holm equations, as well as some recent shallow water equations with Coriolis effect. We establish unique continuation results and exhibit asymptotic profiles for the solutions of the general class considered. From these results we prove the non-existence of non-trivial spatially compactly supported solutions for the equation. As an aftermath, we study the equations earlier mentioned in light of our results for the general class.