Asymptotic profiles and concentration–diffusion effects in fractional incompressible flows. (March 2023)

• Record Type: Journal Article
• Authors: Qian, Chenyin; Wang, Luman
• Is Part Of: Nonlinear analysis. Volume 228(2023)
• Publication Date: 2023-03
• Subjects: Fractional dissipative incompressible flows -- Asymptotic profiles -- Concentration–diffusion effects; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113185
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we study the behavior of solutions to the fractional dissipative incompressible Navier–Stokes equations at large distances in R d, d = 2, 3 . The solvability of the fractional Navier–Stokes system in weighted L ∞ 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.