Abstract
We study distributions not depending on the x N -variable in an open set Ω ⊂ R N . It is assumed that Ω may be described through a very general function D : ω ↦ R , where ω ⊂ R N - 1 is any open set. We give a representation theorem for this kind of distributions and show how they are related to distributions defined in ω . A direct application of this theorem is the derivation of a de Rham-like lemma with a non-local constraint. These results can be applied to the analysis of hydrostatic approximation of Navier–Stokes equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
