Incomplete quenching of heat equations with coupled singular logarithms boundary fluxes |
| |
Authors: | Shouming Zhou Chunlai MuRong Zeng |
| |
Institution: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China |
| |
Abstract: | This paper deals with quenching phenomena for a heat equations with coupled singular logarithms boundary fluxes. Under appropriate hypotheses, the non-simultaneous quenching of the solution for the system is proved, and the estimates of quenching rates are given. Then we give a natural continuation of the solution (u,v) after the quenching time when the equations occurs non-simultaneous quenching. Moreover, we identify the heat equations verified by the continuation beyond quenching time, i.e., the equations occurs incomplete quenching. |
| |
Keywords: | Quenching Non-simultaneous quenching Incomplete quenching |
本文献已被 ScienceDirect 等数据库收录! |
|