6533b836fe1ef96bd12a0ae9
RESEARCH PRODUCT
Analytic solutions of the Navier-Stokes equations
Maria Carmela Lombardosubject
Picard–Lindelöf theoremPlane (geometry)General MathematicsMathematical analysisMathematics::Analysis of PDEsBanach spaceInterval (mathematics)Half-spaceSobolev inequalityPhysics::Fluid DynamicsMathematics (all)UniquenessNavier–Stokes equationsMathematicsdescription
We consider the time dependent incompressible Navier-Stokes equations on an half plane. For analytic initial data, existence and uniqueness of the solution are proved using the Abstract Cauchy-Kovalevskaya Theorem in Banach spaces. The time interval of existence is proved to be independent of the viscosity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-05-01 |