Free boundary problem for one-dimensional compressible Navier-Stokes
equations with temperature dependent viscosity and heat conductivity
- Tuowei CHEN,
- yongqian zhang
Abstract
We prove the existence and uniqueness of global strong solution to the
free boundary problem in one dimensional compressible Navier-Stokes
system for the viscous and heat conducting ideal polytropic gas flow,
when the viscosity and heat conductivity depend on temperature in power
law of Chapman-Enskog and the data is in the neighborhood of some
background solution at initial time. We also study the large time
behavior of the solution and obtain its decay property.20 Feb 2020Submitted to Mathematical Methods in the Applied Sciences 25 Feb 2020Submission Checks Completed
25 Feb 2020Assigned to Editor
11 Mar 2020Reviewer(s) Assigned
02 Jun 2021Review(s) Completed, Editorial Evaluation Pending
05 Jun 2021Editorial Decision: Accept