应用数学所
学术报告


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Speaker:

Dr.Scott Smith,威斯康星大学

Inviter: 朱湘禅 研究员
Title:
A priori bounds for quasi-linear SPDE in the full sub-critical regime
Time & Venue:

2021.3.31 10:00 Zoom会议: 942 676 4296 密码:123456

Abstract:

We will discuss quasi-linear parabolic equations driven by an additive forcing, in the full sub-critical regime . Our arguments are inspired by Hairer's regularity structures, however we work with a more parsimonious model indexed by multi-indices rather than trees. This allows us to capture additional symmetries which play a crucial role in our analysis. Assuming bounds on this model, which is modified in agreement with the concept of algebraic renormalization, we prove local a priori estimates on solutions to the quasi-linear equations modified by the corresponding counter terms. This is joint work with Felix Otto, Jonas Sauer, and Hendrik Weber.

Affiliation:  

学术报告中国科学院数学与系统科学研究院应用数学研究所
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