一类双曲-抛物耦合方程组解的大时间性态  

Large time behavior of solutions for the hyperbolic-parabolic coupled system

作　　者：刘炎 温芸锋 LIU Yan;WEN Yunfeng(School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou 510521,China)

机构地区：[1]广东金融学院金融数学与统计学院,广东广州510521

出　　处：《浙江大学学报(理学版)》2025年第2期232-237,251,共7页Journal of Zhejiang University(Science Edition)

基　　金：广东省自然科学基金资助项目(2023A1515012044);广东省科技创新战略专项资金资助项目(pdjh2024b271).

摘　　要：研究了一类来自热弹性力学的n维双曲-抛物耦合方程组,刻画了其解的大时间渐近性态。首先,利用一类特殊的对角化方法得到能量的渐近表达式;然后,利用WKB分析和Fourier分析,得到该能量的大时间衰减及其渐近轮廓。The n-dimensional hyperbolic-parabolic coupled equations from thermalelasticity were studied,and the large time asymptotic property of their solutions were characterized.First,a special diagonalization procedure was used to obtain the asymptotic expressions for the energy.Subsequently,the large time decay estimates of this energy and its asymptotic profile were obtained by using the WKB analysis and the Fourier analysis.

关 键 词：双曲-抛物耦合方程组 衰减估计 渐近轮廓 对角化方法 

分 类 号：O175.4[理学—数学]