Global solutions of aggregation equations and other flows with random diffusion
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00440-022-01171-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7462 |
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oai:localhost:PNK-74622023-04-04T01:53:05Z Global solutions of aggregation equations and other flows with random diffusion Matthew, Rosenzweig Gigliola, Staffilani parabolic-elliptic Patlak–Keller–Segel model SQG equation CC BY 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. 2023-04-04T01:53:05Z 2023-04-04T01:53:05Z 2022 Book https://link.springer.com/article/10.1007/s00440-022-01171-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7462 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
parabolic-elliptic Patlak–Keller–Segel model SQG equation |
| spellingShingle |
parabolic-elliptic Patlak–Keller–Segel model SQG equation Matthew, Rosenzweig Gigliola, Staffilani Global solutions of aggregation equations and other flows with random diffusion |
| description |
CC BY |
| format |
Book |
| author |
Matthew, Rosenzweig Gigliola, Staffilani |
| author_facet |
Matthew, Rosenzweig Gigliola, Staffilani |
| author_sort |
Matthew, Rosenzweig |
| title |
Global solutions of aggregation equations and other flows with random diffusion |
| title_short |
Global solutions of aggregation equations and other flows with random diffusion |
| title_full |
Global solutions of aggregation equations and other flows with random diffusion |
| title_fullStr |
Global solutions of aggregation equations and other flows with random diffusion |
| title_full_unstemmed |
Global solutions of aggregation equations and other flows with random diffusion |
| title_sort |
global solutions of aggregation equations and other flows with random diffusion |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00440-022-01171-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7462 |
| _version_ |
1762274896798285824 |
| score |
8.891787 |