Weak solutions for a singular beam equation

This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.

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Bibliographic Details
Published inarXiv.org
Main Authors Atlasiuk, Olena, Heibig, Arnaud, Petrov, Adrien
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.05.2024
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Summary:This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
ISSN:2331-8422