| Issue |
ESAIM: COCV
Volume 27, 2021
Special issue in honor of Enrique Zuazua's 60th birthday
|
|
|---|---|---|
| Article Number | 61 | |
| Number of page(s) | 25 | |
| DOI | https://doi.org/10.1051/cocv/2021058 | |
| Published online | 18 June 2021 | |
Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains*
1
Departmento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria,
39005
Santander, Spain.
2
Institute for Mathematics and Scientific Computing, University of Graz,
Heinrichstrasse 36,
8010
Graz, Austria.
** Corresponding author: karl.kunisch@uni-graz.at
Received:
17
April
2020
Accepted:
26
May
2021
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 < ∞.
Mathematics Subject Classification: 35B40 / 35Q30 / 76D07 / 76N10
Key words: Evolution Navier-Stokes equations / weak solutions / uniqueness clasess / sensitivity analysis / asymptotic stability
© The authors. Published by EDP Sciences, SMAI 2021
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