Affiliation:
1. School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China
2. Department of Enterprise Information China Telecom Stocks Co., Ltd, Wenzhou 325000, China
Abstract
This paper considers the blow-up phenomena for the following reaction-diffusion problem with nonlocal and gradient terms:
Here
, and
is a bounded and convex domain with smooth boundary. Applying a Sobolev inequality and a differential inequality technique, lower bounds for blow-up time when blow-up occurs are given. Moreover, two examples are given as applications to illustrate the abstract results obtained in this paper.
Funder
Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi