On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity

Nussenzveig Lopes HJ, Seis C, Wiedemann E (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 34

Pages Range: 3112-3121

Journal Issue: 5

DOI: 10.1088/1361-6544/abe51f

Abstract

We show strong convergence of the vorticities in the vanishing viscosity limit for the incompressible Navier-Stokes equations on the two-dimensional torus, assuming only that the initial vorticity of the limiting Euler equations is in L p for some p > 1. This substantially extends a recent result of Constantin, Drivas and Elgindi, who proved strong convergence in the case p = ∞. Our proof, which relies on the classical renormalisation theory of DiPerna-Lions, is surprisingly simple.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

Universidade Federal do Rio de Janeiro (UFRJ) / Federal University of Rio de Janeiro BR Brazil (BR) Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) Universität Ulm DE Germany (DE)

How to cite

APA:

Nussenzveig Lopes, H.J., Seis, C., & Wiedemann, E. (2021). On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. Nonlinearity, 34(5), 3112-3121. https://dx.doi.org/10.1088/1361-6544/abe51f

MLA:

Nussenzveig Lopes, Helena J., Christian Seis, and Emil Wiedemann. "On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity." Nonlinearity 34.5 (2021): 3112-3121.

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