• Corpus ID: 238408372

Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit

  title={Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit},
  author={Alexis Vasseur and Jincheng Yang},
Consider the steady solution to the incompressible Euler equation ū = Ae1 in the periodic tunnel Ω = Td−1 × (0, 1) in dimension d = 2, 3. Consider now the family of solutions uν to the associated Navier-Stokes equation with the no-slip condition on the flat boundaries, for small viscosities ν = A/Re, and initial values in L2. We are interested in the weak inviscid limits up to subsequences uν ⇀ u∞ when both the viscosity ν converges to 0, and the initial value u0 converges to Ae1 in L 2. Under… 

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