ncku-talk2023-03-08

One Day Workshop at NCKU

DATE 2023-03-08　15:10-16:00

PLACE 數學系館 3F會議室

SPEAKER 江金城教授（國立清華大學數學系）

TITLE On the Cauchy Problem for the Cutoff Boltzmann Equation with small Initial Data

ABSTRACT Singularity formation and Cauchy Problem for Some Nonlinear PDEs
Organizers: 方永富，史習偉，郭鴻文，關汝琳
Goal: We arrange a series of lectures at introductory level and hope to attract students to appreciate some merits of the PDE topic
We prove the global existence of the non-negative unique mild solution for the Cauchy problem of the cutoff Boltzmann equation for soft potential model $-1\leq \gamma< 0$ with the small initial data in three dimensional space.
The novel contribution of this work lies in the exploration of the symmetric property of the gain term in terms of weighted estimate. It is the key ingredient for solving the model $-1<\gamma<0$ when applying the Strichartz estimates. This talk is based on the joint work with L.-B. He.

One Day Workshop at NCKU

DATE	2023-03-08　15:10-16:00

PLACE	數學系館 3F會議室

SPEAKER	江金城教授（國立清華大學數學系）

TITLE	On the Cauchy Problem for the Cutoff Boltzmann Equation with small Initial Data

ABSTRACT	Singularity formation and Cauchy Problem for Some Nonlinear PDEs Organizers: 方永富，史習偉，郭鴻文，關汝琳 Goal: We arrange a series of lectures at introductory level and hope to attract students to appreciate some merits of the PDE topic We prove the global existence of the non-negative unique mild solution for the Cauchy problem of the cutoff Boltzmann equation for soft potential model $-1\leq \gamma< 0$ with the small initial data in three dimensional space. The novel contribution of this work lies in the exploration of the symmetric property of the gain term in terms of weighted estimate. It is the key ingredient for solving the model $-1<\gamma<0$ when applying the Strichartz estimates. This talk is based on the joint work with L.-B. He.