Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows

DOI10.1016/j.na.2022.113185OpenAlexW4310723366MaRDI QIDQ2683017

Chenyin Qian, Luman Wang

Publication date: 3 February 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.113185

zbMATH Keywords

asymptotic profilesconcentration-diffusion effectsfractional dissipative incompressible flows

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible viscous fluids (76Dxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• On the effect of external forces on incompressible fluid motions at large distances
• Fine properties of self-similar solutions of the Navier-Stokes equations
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
• Forward self-similar solutions of the fractional Navier-Stokes equations
• New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
• On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
• Some Theorems on Stable Processes
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Concentration-diffusion effects in viscous incompressible flows
• On the Instantaneous Spreading for the Navier–Stokes System in the Whole Space
• Large-Time Behavior in Incompressible Navier–Stokes Equations
• Concentration–diffusion phenomena of heat convection in an incompressible fluid
• Properties of the linear non-local Stokes operator and its application

This page was built for publication: Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows