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RESEARCH PRODUCT
Existence and Singularities for the Prandtl Boundary Layer Equations
Russel E. CaflischMarco Sammartinosubject
Applied MathematicsMathematical analysisPrandtl numberComputational MechanicsReynolds numberBoundary layer thicknessPhysics::Fluid Dynamicssymbols.namesakeBoundary layerInviscid flowBlasius boundary layersymbolsTurbulent Prandtl numberReynolds-averaged Navier–Stokes equationsMathematicsdescription
Prandtl's boundary layer equations, first formulated in 1904, resolve the differences between the viscous and inviscid description of fluid flows. This paper presents a review of mathematical results, both analytic and computational, on the unsteady boundary layer equations. This includes a review of the derivation and basic properties of the equations, singularity formation, well-posedness results, and infinite Reynolds number limits.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-11-01 | ZAMM |