Backward behavior and determining functionals for chevron pattern equations

被引：0
|
作者：
Kalantarov, V. K. [1 ]
Kalantarov, a H. V. [2 ]
Vantzos, O. [3 ]
机构：
[1] Koc Univ, Dept Math, Istanbul, Turkiye
[2] Springer Verlag, Heidelberg, Germany
[3] Vantzos Res, Athens, Greece
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 457卷
关键词：
Partial differential equations; Numerical analysis; Backward behavior; Blow-up; System of equations; TIME BEHAVIOR; FREEDOM;
D O I：
10.1016/j.cam.2024.116282
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the study of the backward behavior of solutions of the initial boundary value problem for the chevron pattern equations under homogeneous Dirichlet's boundary conditions. We prove that, as t -> infinity , the asymptotic behavior of solutions of the considered problem is completely determined by the dynamics of a finite set of functionals. Furthermore, we provide numerical evidence for the blow-up of certain solutions of the backward problem in finite time in 1D.
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页数：11
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