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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Matthew, Rosenzweig | - |
| dc.contributor.author | Gigliola, Staffilani | - |
| dc.date.accessioned | 2023-04-04T01:53:05Z | - |
| dc.date.available | 2023-04-04T01:53:05Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s00440-022-01171-8 | - |
| dc.identifier.uri | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7462 | - |
| dc.description | CC BY | vi |
| dc.description.abstract | Aggregation equations, such as the parabolic-elliptic Patlak–Keller–Segel model, are known to have an optimal threshold for global existence versus finite-time blow-up. In particular, if the diffusion is absent, then all smooth solutions with finite second moment can exist only locally in time. Nevertheless, one can ask whether global existence can be restored by adding a suitable noise to the equation, so that the dynamics are now stochastic. Inspired by the work of Buckmaster et al. (Int Math Res Not IMRN 23:9370–9385, 2020) showing that, with high probability, the inviscid SQG equation with random diffusion has global classical solutions, we investigate whether suitable random diffusion can restore global existence for a large class of active scalar equations in arbitrary dimension with possibly singular velocity fields. | vi |
| dc.language.iso | en | vi |
| dc.publisher | Springer | vi |
| dc.subject | parabolic-elliptic Patlak–Keller–Segel model | vi |
| dc.subject | SQG equation | vi |
| dc.title | Global solutions of aggregation equations and other flows with random diffusion | vi |
| dc.type | Book | vi |
| Appears in Collections | ||
| OER - Khoa học Tự nhiên | ||
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