在線閱讀 --自然科學版 2021年3期《Robin邊界條件下耦合退化拋物方程組解的爆破現象》
Robin邊界條件下耦合退化拋物方程組解的爆破現象--[在線閱讀]
陳雪姣, 李遠飛, 陳炫先
廣東財經大學 華商學院 數據科學學院, 廣東 廣州 511300
起止頁碼: 224--230頁
DOI: 10.13763/j.cnki.jhebnu.nse.202101009
摘要
考慮了模擬許多物理現象的耦合退化拋物方程組,其中方程的解在區域的邊界上滿足Robin邊界條件.在前人工作的基礎上,利用微分不等式,得到確保解全局存在的條件.在對已知數據項做出適當的限制后,如果解在有限時刻爆破,推導了爆破時間的下界.

Blow-up of Solutions for Coupled Degenerate Parabolic Systems with Robin Boundary Conditions
CHEN Xuejiao, LI Yuanfei, CHEN Xuanxian
School of Data Science, Huashang College, Guangdong University of Finance & Economics, Guangdong Guangzhou 511300, China
Abstract:
The coupled degenerate parabolic equations which simulate many physical phenomena are considered,where the solutions of the equations satisfy Robin boundary conditions on the boundary of the region.Based on the previous work,the conditions for ensuring the global existence of the solutions are obtained by using the differential inequality.After making appropriate restrictions on the known date,if the solutions blow-up in finite time,the lower bound of the blow-up time is deduced.

收稿日期: 2020-09-10
基金項目: 廣東省普通高校重點項目(自然科學)(2019KZDXM042)

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