Hybrid parabolic-hyperbolic property for heat equations with memory

Next Thursday November 2, 2023:

Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: Hybrid parabolic-hyperbolic property for heat equations with memory
Speaker: Prof. Dr. Yubiao Zhang
Affiliation: Postdoctoral Researcher at FAU DCN-AvH. Humboldt Research Fellowship for Experienced Researcher

Abstract. This talk aims to introduce the hybrid parabolic-hyperbolic property for the heat equation with a real analytic memory kernel in lower order term. More precisely, we develop a decomposition for the flow of the equation with three parts: the heat-like component, the wave-like component, and a good remainder. Moreover, the heat-like component has the smoothing effect of infinite order, while the wave-like one owns the propagation of singularities along the time direction. From this decomposition, we can see that the flow has strong heat-like effect around the initial time, and strong wave-like effect at positive time. This talk is based on joint works with Gengsheng Wang and Enrique Zuazua.

WHEN

Thu. November 2, 2023 at 11:00H (Berlin time)

WHERE

FAU. Friedrich-Alexander-Universität Erlangen-Nürnberg.
Room 01.019
Elektrotechnik building | GPS-Koord.: 49.573008N, 11.028336E
Cauerstraße 7 – Turm B, 91058 Erlangen. Germany