P. Topalov

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math.AP2024

The viscosity limit of fluid flows with growth/decay conditions at infinity

R. McOwen, P. Topalov

We prove that the Navier-Stokes equation is well-posed in function spaces on $R^{d}$ , $d \geq 2$ , that contain vector fields of order $O (∣ x ∣^{I^} º)$ as $∣ x ∣ \to \infty$ with $Îº<1/…

math.AP2024

Spatial decay/asymptotics in the Navier-Stokes equation

Peter Topalov

We discuss the appearance of spatial asymptotic expansions of solutions of the Navier-Stokes equation on $R^{n}$ . In particular, we prove that the Navier-Stokes equation is…