Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2024

Forced Rapidly Dissipative Navier–Stokes Flows

Résumé

We show that, by acting on a finite number of parameters of a compactly supported control force, we can increase the energy dissipation rate of any small solution of the Navier–Stokes equations in $\mathbb{R}^n$ . The magnitude of the control force is bounded by a negative Sobolev norm of the initial velocity. Its support can be chosen to be contained in an arbitrarily small region, in time or in space.
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Dates et versions

hal-04952123 , version 1 (17-02-2025)

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Citer

Lorenzo Brandolese, Takahiro Okabe. Forced Rapidly Dissipative Navier–Stokes Flows. SIAM Journal on Mathematical Analysis, 2024, 56 (1), pp.412-432. ⟨10.1137/22M1536807⟩. ⟨hal-04952123⟩
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