On the wave equation with logarithmic damping: wellposedness, blow-up and numerical analysis
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918533808521216 |
|---|---|
| author | Messaoudi, Salim Kafini, Mohammad Zahri, Mostafa |
| author_facet | Messaoudi, Salim Kafini, Mohammad Zahri, Mostafa |
| contents | In this work, we are concern with the wave equation subjected to a nonlinear feedback of logarithmic type and nonlinear polynomial source. To achieve a comprehensive understanding of this novel damping mechanism, we start with studying the well-posedness and the uniqueness of the problem. Then we establish the blow-up result of the problem under suitable initial data with negative initial energy and critical exponent of the source term. Finally, we present a brief numerical study and examples that support our result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00905 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the wave equation with logarithmic damping: wellposedness, blow-up and numerical analysis Messaoudi, Salim Kafini, Mohammad Zahri, Mostafa Analysis of PDEs 35B40, 35B44, 35L05, 35L15, 35L70 In this work, we are concern with the wave equation subjected to a nonlinear feedback of logarithmic type and nonlinear polynomial source. To achieve a comprehensive understanding of this novel damping mechanism, we start with studying the well-posedness and the uniqueness of the problem. Then we establish the blow-up result of the problem under suitable initial data with negative initial energy and critical exponent of the source term. Finally, we present a brief numerical study and examples that support our result. |
| title | On the wave equation with logarithmic damping: wellposedness, blow-up and numerical analysis |
| topic | Analysis of PDEs 35B40, 35B44, 35L05, 35L15, 35L70 |
| url | https://arxiv.org/abs/2606.00905 |