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Global low-regularity solutions to the non-cutoff Boltzmann equation in R^3

 
Title:
Global low-regularity solutions to the non-cutoff Boltzmann equation in R^3
Speaker:
Prof. Renjun Duan,The Chinese University of Hong Kong 
Inviter: 王勇 副研究员
Time & Venue:

2022.4.08 15:30 腾讯会议号:873-760-281

Abstract:

A class of low-regularity solutions via the Wiener algebra for the non-cutoff Boltzmann equation on the torus was previously introduced in collaboration with Liu, Sakamoto and Strain. In the talk, I will further report how to extend the result to the case of the whole space. In this case, we develop an $L^1-L^\infty$ interplay technique in the Fourier space to overcome the weaker macroscopic dissipation due to diffusion phenomenon in contrast to the torus case. The key is to employ time-weighted estimates motivated from viscous conservation laws. Joint work with Shota Sakamoto and Yoshihiro Ueda.

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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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