You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Aynur Bulut (Louisiana State University)<\/p>\n
\u201cNew perspectives on scaling thresholds and quantitative criteria for blow-up\u201d<\/p>\n
Abstract: In this talk, we give an overview of several recent results where quantitative estimates play a key role. In the first part of the talk, we discuss new convex integration constructions for fluid systems with external forcing. We will then discuss a novel application of these ideas to the surface quasi-geostrophic (SQG) equation. Moving forward with the theme of quantitative estimates, in the second part of the talk we will describe new bounds for the defocusing energy-supercritical Nonlinear Schr\u00f6dinger equation (NLS) and use these to give a universal blow-up criteria which goes below the scaling invariant threshold. These results are in line with a recent breakthrough construction of finite-time blow-up solutions, and in particular give the first generic result distinguishing potential defocusing blow-up phenomena from many of the known examples of blow-up in the focusing setting. At the end of the talk, we will briefly describe applications to related models.<\/p>\n
Date: Tuesday, May 28, 2024
\nTime: 14:00 \u2013 15:00
\nPlace: Mathematics Seminar Room SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Aynur Bulut (Louisiana State University) \u201cNew perspectives on scaling thresholds and quantitative criteria for blow-up\u201d Abstract: In this talk, we give an overview of several recent results where quantitative estimates play a key role. In [\u2026] <\/p>\n