Strong solutions of the Navier-Stokes equations with singular data

Hideo Kozono, Senjo Shimizu

    Research output: Chapter in Book/Report/Conference proceedingChapter

    1 Citation (Scopus)

    Abstract

    We construct strong solutions in the Serrin class of the Navier-Stokes equations with singular data. In 2D case, our results cover the initial vorticity as the Dirac measure and the external force whose support consists of a single point. In 3D case, we can handle the initial vortex sheet supported on the sphere and the singular external force whose support is concentrated on the surface.

    Original languageEnglish
    Title of host publicationContemporary Mathematics
    PublisherAmerican Mathematical Society
    Pages163-173
    Number of pages11
    Volume710
    DOIs
    Publication statusPublished - 2018 Jan 1

    Keywords

    • Dirac measure
    • Global strong solutions
    • Navier-Stokes equations
    • Single layer potential
    • Singular data

    ASJC Scopus subject areas

    • Mathematics(all)

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  • Cite this

    Kozono, H., & Shimizu, S. (2018). Strong solutions of the Navier-Stokes equations with singular data. In Contemporary Mathematics (Vol. 710, pp. 163-173). American Mathematical Society. https://doi.org/10.1090/conm/710/14369