Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains

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URI: http://hdl.handle.net/10902/21928
ISSN: 1292-8119
ISSN: 1262-3377
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Autoría
Casas Rentería, EduardoAutoridad Unican; Kunisch, Karl
Fecha
2021-06-18
Derechos
Attribution 4.0 International
Publicado en
ESAIM - Control, Optimisation and Calculus of Variations, 2021, 27, 61 - (CORRIGENDUM), 2022, 28, 28
Editorial
EDP Sciences
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Palabras clave
Evolution Navier-Stokes equations
Weak solutions
Uniqueness clasess
Sensitivity analysis
Asymptotic stability
Resumen/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 < ∞.
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Attribution 4.0 InternationalExcepto si se señala otra cosa, la licencia del ítem se describe como Attribution 4.0 International