Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417192 | Journal of Differential Equations | 2015 | 25 Pages |
Abstract
We consider the time decay rates of smooth solutions to the Cauchy problem for the equations of the compressible heat-conductive flow through porous media. We prove the global existence and uniqueness of the solutions by the standard energy method. Moreover, we establish the optimal decay rates of the solution as well as its higher-order spatial derivatives. And the damping effect on the time decay rates of the solution is studied in detail.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qing Chen, Zhong Tan, Guochun Wu,