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科学研究
报告题目:

Suppression of explosion by transport noise for some nonlinear PDEs

报告人:

罗德军 研究员(中科院数学与系统科学研究院)

报告时间:

报告地点:

腾讯会议 ID:499 754 904 会议密码:123456

报告摘要:

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.