Work

Invariant hyperplanes for 2D Navier–Stokes equations perturbed by nonlocal terms

Year: 2025

Type: article

Abstract: We study the Navier-Stokes equations on the two-dimensional torus $$\mathbb {T}^2$$ T 2 with a single input bilinear control term which forces the evolution to preserve hyperplanes. We reduce the problem to the solution of the Navier-Stokes system perturbed by a certain nonlinear nonlocal term and show the well-posedness of the initial value problem for such a system.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01070-6

Authors: Piermarco Cannarsa, Hélène Frankowska

Institutions: University of Rome Tor Vergata, Centre National de la Recherche Scientifique, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Roma Tor Vergata, Ministero dell'Università e della Ricerca, NextGenerationEU