학술논문
Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains.
Document Type
Article
Author
Source
Subject
*EVOLUTION equations
*STOKES equations
*NAVIER-Stokes equations
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Language
ISSN
1292-8119
Abstract
Existence and uniqueness of solutions to the Navier-Stokes equations in dimension two with forces in the space Lq((0, T); W−1,p(Ω)) for p and q in appropriate parameter ranges are proven. The case of spatially measured-valued forces is included. For the associated Stokes equation the well-posedness results are verified in arbitrary dimensions for any 1 < p, q < ∞. [ABSTRACT FROM AUTHOR]