Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.10874 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916288873365504 |
|---|---|
| author | de Nitti, Nicola Pacherie, Eliot |
| author_facet | de Nitti, Nicola Pacherie, Eliot |
| contents | We study the viscous Burgers equation with a family of initial data having infinite mass. After rescaling, the solution converges toward a bounded discontinuous profile in the long-time limit. Moreover, by changing the scale near the discontinuity point again, we find a new profile that is also discontinuous. This process can be repeated an arbitrary number of times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10874 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass de Nitti, Nicola Pacherie, Eliot Analysis of PDEs 35B40, 35C06, 35K05 We study the viscous Burgers equation with a family of initial data having infinite mass. After rescaling, the solution converges toward a bounded discontinuous profile in the long-time limit. Moreover, by changing the scale near the discontinuity point again, we find a new profile that is also discontinuous. This process can be repeated an arbitrary number of times. |
| title | Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass |
| topic | Analysis of PDEs 35B40, 35C06, 35K05 |
| url | https://arxiv.org/abs/2406.10874 |