For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller–Segel, 3D Fisher–KPP, and 2D Kuramoto–Sivashinsky equations, yielding long-time existence for large initial data with high probability.
Delayed blow-up by transport noise
Flandoli F.;Galeati L.;Luo D.
2021
Abstract
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller–Segel, 3D Fisher–KPP, and 2D Kuramoto–Sivashinsky equations, yielding long-time existence for large initial data with high probability.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Flandoli Galeati Luo delayed blow up.pdf
Open Access dal 01/10/2021
Tipologia:
Accepted version (post-print)
Licenza:
Creative Commons
Dimensione
341.86 kB
Formato
Adobe PDF
|
341.86 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
