摘 要：研究了一類非線性記憶項的弱耦合半線性雙波動系統(tǒng)解的爆破情況。 運用測試函數(shù)和切片化方法，證明了其柯西問題在次臨界情況下解的全局非存在性。 同時，還得到了其解的生命跨度上界估計。

關(guān)鍵詞：非線性記憶項；弱耦合半線性雙波動系統(tǒng)； 爆破

中圖分類號：O175.4

文獻標志碼：A

參考文獻：

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［9］ 歐陽柏平，肖勝中. 具有非線性項的弱耦合半線性Moore-Gibson-Thompson系統(tǒng)解的全局非存在性［J/OL］. 貴州大學(xué)學(xué)報（自然科學(xué)版）： 1-9［2021-10-21］. http：//kns.cnki.net/kcms/detail/52.5002.N.20210915.1740.002.html.

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（責(zé)任編輯：于慧梅）

Blow-up Analysis on Solutions to a Weakly Coupled Semilinear

Double-wave System with Nonlinear Memory Terms

OUYANG Baiping*

（Guangzhou Huashang College， Guangzhou 511300， China）

Abstract：

Blow-up of solutions to a class of weakly coupled semilinear double-wave system with nonlinear memory terms is studied. By employing test functions and slicing methods， nonexistence of global solutions to the Cauchy problem for the semilinear double-wave system in the subcritical case is proved. Also， the upper bound estimate of the lifespan of solutions is obtained.

Key words：

nonlinear memory term; weakly coupled semilinear double-wave system; blow-up

收稿日期：2021-10-21

基金項目：廣東省普通高校創(chuàng)新團隊資助項目（2020WCXTD008）；廣州華商學(xué)院校內(nèi)資助項目（2020HSDS01，2021HSKT01）

作者簡介：歐陽柏平（1979—），男，講師，碩士，研究方向：偏微分方程，E-mail：oytengfei79@163.com.

通訊作者：歐陽柏平，E-mail：oytengfei79@163.com.