In this talk, I will discuss the existence of radially symmetric stationary solutions for a compressible viscous and heat-conductive polytropic ideal fluid in the unbounded exterior domain of a sphere in $R^n(n\ge 3)$, where the boundary and far-field conditions are prescribed. We show the unique existence of stationary solutions for both inflow and outflow problems in a suitably small neighborhood of the far-field state. We also obtain estimates of the algebraic decay rates toward the far-field state.

This is joint work with Professor Akitaka Matsumura, Professor Emeritus at Osaka University.

 

Zoom Link

https://us02web.zoom.us/j/88956066433?pwd=NHf7M1p5s5AfbcjyfiaYow5o1xlrIF.1

 

Organizer

Chun-Hsiung Hsia (NTU)