The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity

Chanillo, Sagun;Van Schaftingen, Jean;Yung, Po Lam
(2017) Harmonic Analysis, Partial Differential Equations and Applications. In Honor of Richard L. Wheeden — ISBN: [978-3-319-52741-3], p. 19-25, published

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Authors
  • Chanillo, SagunRutgers University
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  • Van Schaftingen, Jeanorcid-logoUCLouvain
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  • Yung, Po LamThe Chinese University of Hong Kong
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Abstract
We study the incompressible two dimensional Navier–Stokes equation with initial vorticity in the homogeneous Sobolev space W˙1,1(ℝ²). This complements our earlier work for the case when the initial vorticity is in the inhomogeneous Sobolev space W1,1(ℝ²).
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Chanillo, S., Van Schaftingen, J., & Yung, P. L. (2017). The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity. In Sagun Chanillo, Bruno Franchi, Guozhen Lu, Carlos Perez, Eric T. Sawyer (ed.), Harmonic Analysis, Partial Differential Equations and Applications. In Honor of Richard L. Wheeden (p. p. 19-25). Springer. https://doi.org/10.1007/978-3-319-52742-0_2