• 科學研究
    報告題目:

    Suppression of explosion by transport noise for some nonlinear PDEs

    報告人:

    羅德軍 研究員(中科院數學與系統科學研究院)

    報告時間:

    報告地點:

    騰訊會議 ID:499 754 904 會議密碼:123456

    報告摘要:

    We consider some deterministic nonlinear PDEs on the torus whose solutions may explode in finite time for initial data above some threshold. Under suitable conditions on the nonlinear term, we show that explosion is suppressed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Fisher-KPP and 2D Kuramoto-Sivashinsky equations, yielding long-time existence for large initial data with high probability.

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