Incomplete quenching of heat equations with absorption

Abstract

This article deals with a system of heat equation with absorption. This system exhibits simultaneous and non-simultaneous quenching. We give a natural continuation for problem beyond quenching time T for the case of non-simultaneous quenching.

Keywords:

• quenching
• non-simultaneous quenching
• incomplete

AMS Subject Classifications::

• 35B40
• 35B60
• 35K50

Acknowledgements

This work is supported in part by NNSF of China (10571126) and in part by Program for New Century Excellent Talents in University.