Szczegóły publikacji
Opis bibliograficzny
Global existence and non-existence for nonlinear wave equation with variable-exponent nonlinear weak damping term and power-type nonlinearity / Tiantian Pang, Keyan Wang, Runzhang Xu, Chao YANG // Communications in Mathematical Sciences ; ISSN 1539-6746 . — 2025 — vol. 23 no. 7, s. 1933–1982. — Bibliogr., Abstr. — Publikacja dostępna online od: 2025-08-01. — Ch. Yang - dod. afiliacja: Harbin Engineering University, Harbin, China
Autorzy (4)
- Pang Tiantian
- Wang Keyan
- Xu Runzhang
- AGHYang Chao
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 165731 |
|---|---|
| Data dodania do BaDAP | 2026-01-29 |
| DOI | 10.4310/CMS.250802032704 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Communications in Mathematical Sciences |
Abstract
In this paper, we consider the initial boundary value problem for a wave equation with variable-exponent nonlinear weak damping term and power-type nonlinearity. The model is used to describe diverse physical phenomena including flows of electro-rheological fluids, nonlinear viscoelasticity and image restoration. We establish the local existence theory. By constructing the potential well theory for the variable-exponent case, we obtain the sharp conditions for the global solution and the finite time blowup solution for the subcritical initial energy, and we also describe the asymptotic behavior of the global solution.
