6533b86cfe1ef96bd12c81e3
RESEARCH PRODUCT
Well-posedness of Prandtl equations with non-compatible data
Maria Carmela LombardoMarco CannoneMarco Sammartinosubject
Well-posed problemApplied MathematicsPrandtl numberGeneral Physics and AstronomyStatistical and Nonlinear PhysicsNavier-Stokes equations Boundary Layer Theory.Physics::Fluid Dynamicssymbols.namesakesymbolsCalculusApplied mathematicsBoundary value problemTurbulent Prandtl numberSettore MAT/07 - Fisica MatematicaMathematical PhysicsWell posednessVariable (mathematics)Mathematicsdescription
In this paper we shall be concerned with Prandtl's equations with incompatible data, i.e. with initial data that, in general, do not fulfil the boundary conditions imposed on the solution. Under the hypothesis of analyticity in the streamwise variable, we shall prove that Prandtl's equations, on the half-plane or on the half-space, are well posed for a short time.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-07 |