The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity

Mathematical Research Letters

Volumn 11, Issue 4, 2004, Pages 519-528

  Kelliher, James P ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

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EID: 4944266168     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2004.v11.n4.a9     Document Type: Article

References (12)

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3. [C3] J.-Y Chemin, Perfect Incompressible Fluids, Oxford University Press, 1998.
4. [CW1] P. Constantin and J. Wu, Inviscid Limit for Vortex Patches, Nonlinearity 8 (1995), 735-742.
5. [CW2] P. Constantin and J. Wu, The Inviscid Limit for Non-Smooth Vorticity, Indiana University Mathematics Journal, 45 (1996), 67-81.
6. [CW3] P. Constantin and J. Wu, Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and the inviscid limit, J. Math Phys., 38, June (1997), 3031-3045.
7. [K] T. Kato, Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary, Seminar on nonlinear partial differential equations Berkeley, Calif., (1983), 85-98.
8. [L] P. L. Lions, Mathematical Topics in Fluid Mechanics, Volume 1, Incompressible Models, Clarendon Press, Oxford, 1996.
9. n, preprint, 15 pp.
10. [T] R. Temam Navier-Stokes Equations: Theory and Numerical Analysis, American Mathematical Society, 1984, 2001.
11. [Y1] V. Yudovich, Nonstationary Flow of an Ideal Incompressible Liquid, Zhurn. Vych. Mat. 3 (1963), 1032-1066. (Russian)
12. [Y2] V. Yudovich, Uniqueness Theorem for the Basic Nonstationary Problem in the Dynamics of an Ideal Incompressible Fluid, Mathematical Research Letters, 2 (1995), 27-38.