Mathematics

CLC number: O175.29

Blow-Up for a Pseudo-Parabolic Equation with Memory and Convection Terms

具记忆和对流项的伪抛物方程解的爆破

School of Mathematics and Statistics, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China

Received: 25 June 2025

Abstract

In this article, we deal with the blow-up phenomenon of a pseudo-parabolic equation with memory and convection terms. By constructing some appropriate auxiliary functions and using the modified concavity method, the blow-up criterion of the weak solution is given.

摘要

通过构造合适的辅助函数，结合改进的凹方法，本文给出了一类具记忆和对流项的伪抛物方程解的爆破准则。