6533b82cfe1ef96bd1290009
RESEARCH PRODUCT
On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids
Michael BildhauerXiao ZhongMartin Fuchssubject
Algebra and Number TheoryPartial differential equationDifferential equationApplied MathematicsMathematical analysis510Physics::Fluid DynamicsStrong solutionsGeneralized Newtonian fluidFlow (mathematics)CompressibilityNewtonian fluidAnalysisMathematicsdescription
In this paper we discuss a system of partial differential equations describing the steady flow of an incompressible fluid and prove the existence of a strong solution under suitable assumptions on the data. In the 2D-case this solution turns out to be of class C^{1,\alpha}.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-23 | St. Petersburg Mathematical Journal |