Deutsch Intern
    Institute of Mathematics

    Oberseminar Mathematik in den Naturwissenschaften: João Henrique Santos de Andrade, Qualitative properties for solutions to subcritical fourth order systems

    Date: 06/30/2021, 2:15 PM - 3:45 PM
    Category: Seminar, Veranstaltung
    Organizer: Lehrstuhl für Mathematik VI (Mathematik in den Naturwissenschaften)
    Speaker: Universidade de São Paulo - USP, Instituto de Matemática e Estatı́stica Departamento de Matemática

    via Zoom video conference (request the Zoom link from anja.schloemerkemper@mathematik.uni-wuerzburg.de).


    In this talk we prove some qualitative properties of singular solutions to a class of strongly coupled systems involving a Gross–Pitaevskii-type nonlinearity. On the technical level, we use the moving sphere method to classify the limit blow-up solutions to our system. Additionally, applying asymptotic analysis techniques, we show that these solutions are indeed the local models near the isolated singularity. We also introduce a new fourth order nonautonomous Pohozaev functional, whose monotonicity properties yield improvement for the asymptotics results due to R. Soranzo.

    Here you will find an overview of all events.