Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit

Communications in Partial Differential Equations

Volumn 26, Issue 1-2, 2001, Pages 335-354

  Lombardo, Maria Carmela ^a   Caflisch, Russel E ^b   Sammartino, Marco ^a  

^a UNIVERSITY OF PALERMO   (Italy)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Asymptotic analysis; Boundary layer; Explicit solutions; Navier Stokes equations; Stokes equations; Zero viscosity

Indexed keywords

EID: 3142749306     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100001758     Document Type: Article

References (6)

1. Sammartino, M.; Caflisch, R.E. Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space II. Construction of the Navier-Stokes Solution. Comm. Math. Phys. 1998, 192, 463-491.
2. n. Comm. Pure Appl. Math. 1987, 40, 611-621.
3. Ladyzenskaja, O.A.; Solonnikov, V.A.; Uralćeva, N.N. Linear and Quasilinear Equations of Parabolic Type; Transl. Math. Monographs; AMS: Providence, RI; Vol. 23, 1991.
4. Sammartino, M. The Boundary Layer Analysis for Stokes Equations on a Half Space. Comm. Part. Diff. Eqs. 1997, 22(5/6), 749-771.
5. Davies, B. Integral Transforms and Their Applications; Springer-Verlag: Berlin 1985.
6. Sammartino, M.; Caflisch, R.E. Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space I. Existence for Euler and Prandtl Equations. Comm. Math. Phys. 1998, 192, 433-461.