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20062026
most citedA sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

307 citations · 580 across the 47 of their papers we have counts for

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math.AP2018★ 18 cited

Blow-up dynamics in the mass super-critical NLS equations

Kai Yang, Svetlana Roudenko, Yanxiang Zhao

We study stable blow-up dynamics in the -supercritical nonlinear Schrödinger equation in various dimensions. We first investigate the profile equation and extend the result of…

math.AP2018★ 10 cited

Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation

Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko +1

We prove that near-threshold negative energy solutions to the 2D cubic (-critical) focusing Zakharov-Kuznetsov (ZK) equation blow-up in finite or infinite time. The proof cons…