The 3-D inviscid limit result under slip boundary conditions. A negative Answer

Journal of Mathematical Fluid Mechanics

Volumn 14, Issue 1, 2012, Pages 55-59

  Beirao Da Veiga H ^a   Crispo, F ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL TIME; INITIAL-BOUNDARY VALUE PROBLEMS; SLIP BOUNDARY CONDITIONS; SLIP TYPE BOUNDARY CONDITIONS;

EULER EQUATIONS; INITIAL VALUE PROBLEMS; NAVIER STOKES EQUATIONS; SPHERES;

BOUNDARY CONDITIONS;

BOUNDARY CONDITION; CONVERGENCE; EULER FLOW; EULERIAN ANALYSIS; NAVIER-STOKES EQUATIONS; TOPOLOGY;

EID: 84857558969     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-010-0047-5     Document Type: Article

References (6)

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2. k, p - inviscid limit for 3 - D flows under a slip boundary condition. J. Math. Fluid Mech. 13, 117-135 (2011)
3. Beirão da Veiga, H., Crispo, F., Grisanti, C.R.: On the reduction of PDE's problems in the half-space, under the slip boundary condition, to the corresponding problems in the whole space. J. Math. Anal. Appl. 377, 216-227 (2011)
4. T. Clopeau A. Mikelic R. Robert 1998 On the vanishing viscosity limit for the 2-D incompressible Navier-Stokes equations with the friction type boundary conditions Nonlinearity 11 1625 1636 1660366 1998Nonli..11.1625C 0911.76014 10.1088/0951-7715/11/6/011 (Pubitemid 128157511)
5. Crispo, F.: On the zero-viscosity limit for 3D Navier-Stokes equations under slip boundary conditions. Riv. Mat. Univ. Parma. 3 (2010)
6. Y. Xiao Z. Xin 2007 On the vanishing viscosity limit for the 3-D Navier-Stokes equations with a slip boundary condition Comm. Pure Appl. Math. 60 1027 1055 2319054 1117.35063 10.1002/cpa.20187