On the vanishing viscosity limit for 3D axisymmetric flows without swirl

Brkic P, Wiedemann E (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Nonlinear Analysis-Real World Applications Elsevier

Book Volume: 77

Article Number: 104066

DOI: 10.1016/j.nonrwa.2024.104066

Abstract

We study the vanishing viscosity limit for the three-dimensional incompressible Navier–Stokes equations in terms of the relative vorticity in the setting of axisymmetric velocity fields without swirl. We show that the weak convergence of relative vorticity to a renormalized solution of the Euler equations, established by Nobili and Seis, can be upgraded to strong convergence.

Authors with CRIS profile

Emil Wiedemann Lehrstuhl für Analysis

Involved external institutions

Universität Ulm DE Germany (DE)

How to cite

APA:

Brkic, P., & Wiedemann, E. (2024). On the vanishing viscosity limit for 3D axisymmetric flows without swirl. Nonlinear Analysis-Real World Applications, 77. https://dx.doi.org/10.1016/j.nonrwa.2024.104066

MLA:

Brkic, Patrick, and Emil Wiedemann. "On the vanishing viscosity limit for 3D axisymmetric flows without swirl." Nonlinear Analysis-Real World Applications 77 (2024).

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