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Seminar

Graduate Student Working Group: Modified scattering for a quasilinear wave equation satisfying the weak null condition February 24, 2021 (11:10 AM PST - 12:10 PM PST)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Dongxiao Yu (University of California, Berkeley)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Video

Modified Scattering for a Quasilinear Wave Equation Satisfying the Weak Null Condition

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: I will discuss the modified scattering theory for a scalar quasilinear wave equation in three space dimensions. This equation satisfies the weak null condition introduced by Lindblad and Rodnianski, and it admits small data global existence which was proved by Lindblad. In this talk, I will first introduce a new notion of asymptotic profile by deriving a new reduced system for the model equation. I will then present a proof of the existence of the modified wave operators.

Finally, I will discuss my current work on the asymptotic completeness.

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Modified Scattering for a Quasilinear Wave Equation Satisfying the Weak Null Condition