LARGE TIME BEHAVIOR OF A HYPERBOLIC-PARABOLIC MODEL OF VASCULOGENESIS

被引：0
|
作者：
Liu, M. E. N. G. Q. I. A. N. [1 ]
Wu, Z. H. I. G. A. N. G. [1 ]
机构：
[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 02期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Model of vasculogenesis; well-posedness; decay rate; COMPRESSIBLE EULER EQUATIONS; NONLINEAR DIFFUSION WAVES; P-SYSTEM; ASYMPTOTIC-BEHAVIOR; CONVERGENCE-RATES; SMOOTH SOLUTIONS; EXISTENCE; STABILITY; VACUUM; DECAY;
D O I：
10.3934/dcdsb.2023113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly consider the Cauchy problem of a hyperbolic parabolic model of vasculogenesis in dimension three. We first obtain the optimal L2-decay rate of the solution and its highest order derivatives when the initial perturbation is small in H3(R3) and bounded in L1(R3). Here, the optimality means there is no decay loss for the highest-order spatial derivatives. This refines that in [21], where only the optimal L2-decay rate of the solution was given when the initial perturbation is small in H4 & AND; L1(R3). Next, we derive space-time descriptions of the solution based on the analysis of Green's function.
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页码：777 / 795
页数：19
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