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OP-8409Status unassessedPartial differential equations

2D stationary Navier-Stokes with viscosity-independent forcing

Small scale dynamics in incompressible fluid flows · Historical workshop question

Editorial mapping of AIMPL source category: Partial differential equations. http://aimpl.org/smallscalefluid/ Not an author-supplied MSC code.

Historical list · status unassessedAs of 2026-09-08Source & evidence ↓

Problem statement

Consider the 2D stationary Navier-Stokes equations on T2\mathbb{T}^2 with forcing ff and viscosity ν>0\nu>0. Find a fixed (ν\nu-independent) ff such that sup⁡∥uν∥L2<∞\sup\|u^\nu\|_{L^2}<\infty. This is a problem suggested by Peter Constantin.

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References
  1. [1]Small scale dynamics in incompressible fluid flows link

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