On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle (Q6614863)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle |
scientific article; zbMATH DE number 7922665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle |
scientific article; zbMATH DE number 7922665 |
Statements
On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle (English)
0 references
8 October 2024
0 references
The author have discussed the resolvent problem associated with linearized viscous flow around a rotating body within the setting of classical Sobolev spaces. A framework of homogeneous Sobolev spaces is introduced, where existence of a unique solution can be guaranteed for every purely imaginary resolvent parameter. This problem is reduced to an auxiliary problem, which is studied by means of Fourier analytic tools in a group setting. The existence of solutions to the associated time-periodic linear problem is obtained as a result after deriving uniform resolvent estimates.\N\NFor the entire collection see [Zbl 1515.76005].
0 references
homogeneous Sobolev space
0 references
existence
0 references
uniqueness
0 references
well-posedness
0 references
contractive semigroup
0 references
Fourier multiplier
0 references
harmonic analysis
0 references
0 references
0 references
0 references
0 references
0 references
0 references
