6533b825fe1ef96bd1281e9d
RESEARCH PRODUCT
Singularity formation and separation phenomena in boundary layer theory
Francesco GarganoMarco SammartinoMaria Carmela LombardoVincenzo Sciaccasubject
Prandtl's equations Separation Spectral Methods Complex singularities Blow up time Regularizing viscosityBoundary layerClassical mechanicsSingularityDynamical systems theoryGeometric mechanicsDifferential equationComputational mechanicsFluid mechanicsSettore MAT/07 - Fisica MatematicaBoundary element methodMathematicsMathematical physicsdescription
In this paper we review some results concerning the behaviour of the incompressible Navier–Stokes solutions in the zero viscosity limit. Most of the emphasis is put on the phenomena occurring in the boundary layer created when the no-slip condition is imposed. Numerical simulations are used to explore the limits of the theory. We also consider the case of 2D vortex layers, i.e. flows with internal layers in the form of a rapid variation, across a curve, of the tangential velocity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-07-16 |