摘要
带耗散的发展方程是一类在物理、机械领域有重要应用的方程,对于此类方程常采用先验估计以及能量积分方法证明方程解的存在性以及收敛性质。给出带耗散发方程在收敛率估计中常用的收敛定理,并给出具体证明过程,最后通过实例验证该方法的有效性。
Dissipative development equation is a kind of equations which have important applications in physics and mechanical fields.For this kind of equations,the existence and convergence of the solutions are proved by prior estimation and energy method.In this paper,a common convergence theorem is given in the estimation of the convergence rates of the equation with dissipative development equation,concrete proof process is given.Finally,the effectiveness of the method is verified by an example.
作者
樊龙
FAN Long(School of Mathematics and Statistics,Shanxi Datong University,Datong Shanxi,037009)
出处
《山西大同大学学报（自然科学版）》
2024年第1期22-24,共3页
Journal of Shanxi Datong University(Natural Science Edition)
基金
山西省高等学校科技创新项目[2021L382]。
关键词
收敛率
SOBOLEV空间
耗散
发展方程
convergence rates
Sobolev space
dissipative term
development equations
