Article Dans Une Revue Indiana University Mathematics Journal Année : 2026

Non-algebraic decay for solutions to the Navier-Stokes equations

Résumé

Around forty years ago, Michael Wiegner provided, in a seminal paper, sharp algebraic decay rates for solutions of the Navier--Stokes equations, showing that these solutions behave asymptotically like the solutions of the heat equation with the same data as $t\to+\infty$, in the $L^2$-norm, up to some critical decay rate. In the present paper, we close a gap that appears in the conclusion of Wiegner's theorem in the 2D case, for solutions with non-algebraic decay rate.

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Dates et versions

hal-05623812 , version 1 (16-05-2026)

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  • HAL Id : hal-05623812 , version 1

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Lorenzo Brandolese, Matthieu Pageard, Cilon F Perusato. Non-algebraic decay for solutions to the Navier-Stokes equations. Indiana University Mathematics Journal, In press. ⟨hal-05623812⟩
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