Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 100, pp. 1-13.

Title: Non-simultaneous quenching in a semilinear parabolic system
       with multi-singular reaction terms

Authors: Zhe Jia      (Nanjing Normal Univ., Nanjing, China)
         Zuodong Yang (Nanjing Normal Univ., Nanjing, China)
         Changying Wang (Qingdao Univ., Qingdao 266071, China)
 
Abstract:
 This article concerns quenching properties of solutions for a semilinear parabolic
 system with multi-singular reaction terms. We obtain sufficient conditions 
 for the existence of finite time quenching of global solutions.
 The blow up of time-derivatives at the quenching point is verified.
 In addition, we identify simultaneous and non-simultaneous quenching,
 and  provide a classification of parameters for the simultaneous quenching rates.

Submitted February 9, 2018. Published August 13, 2019.
Math Subject Classifications: 35K55, 35K65, 35A07.
Key Words: Parabolic system; multi-singular boundary flux; blow up;
           non-simultaneous quenching;  quenching rate.