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.

引用

页数：19

共 24 条

[21] Anomalous Moisture Absorption in Composites: Effects of Diffusion Hindrance on Spatial Moisture Concentration
Grace, L. R.
Altan, M. C.
PROCEEDINGS OF THE AMERICAN SOCIETY FOR COMPOSITES, 2013,
[22] Molecular dynamics studies of hydrogen diffusion in tungsten at elevated temperature: Concentration dependence and defect effects
Wang, Li-Fang
Shu, Xiaolin
Lin, De-Ye
Lu, Guang-Hong
Song, Hai-Feng
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY, 2020, 45 (01) : 822 - 834
[23] A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions II: Asymptotic profiles of solutions and radial terrace solution
Kaneko, Yuki
Matsuzawa, Hiroshi
Yamada, Yoshio
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 178 : 1 - 45
[24] A Multiple-Relaxation-Time Lattice-Boltzmann Model for Bacterial Chemotaxis: Effects of Initial Concentration, Diffusion, and Hydrodynamic Dispersion on Traveling Bacterial Bands
Yan, Zhifeng
Hilpert, Markus
BULLETIN OF MATHEMATICAL BIOLOGY, 2014, 76 (10) : 2449 - 2475

← 1 2 3 →