Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows

被引：1
|
作者：
Qian, Chenyin [1 ]
Wang, Luman [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 228卷
关键词：
Fractional dissipative incompressible  flows; Asymptotic profiles; Concentration-diffusion effects; SELF-SIMILAR SOLUTIONS; STOKES; BEHAVIOR; POWER;
D O I：
10.1016/j.na.2022.113185
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the behavior of solutions to the fractional dissipative incompressible Navier-Stokes equations at large distances in Rd, d = 2, 3. The solvability of the fractional Navier-Stokes system in weighted L infinity spaces and the asymptotic profile of solutions are investigated. Based on the asymptotic behavior of the local solution, the concentration-diffusion phenomenon is discussed by constructing suitable initial data for the fractional dissipative incompressible Navier-Stokes system.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：19
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