Events for 08/20/2024 from all calendars

Nonlinear Partial Differential Equations

Time: 10:00AM - 11:00AM

Location: Online

Speaker: Tianwen Luo , South China Normal University

Title: On multi-dimensional rarefaction waves

Abstract: We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric description of the rarefaction wave fronts. As an application, we show that the Riemann problem is structurally stable in the regime of two families of rarefaction waves. This is a joint work with Prof. Pin Yu in Tsinghua University.