Infinite‐dimensional projected dynamics and the 1‐dimensional obstacle problem | Zendy

Monica–Gabriela Cojocaru | Zendy

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Infinite‐dimensional projected dynamics and the 1‐dimensional obstacle problem

Author(s) -

Monica–Gabriela Cojocaru

Publication year - 2005

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2005/379248

Subject(s) - obstacle , variational inequality , obstacle problem , string (physics) , mathematics , computer science , mathematical analysis , classical mechanics , physics , mathematical physics , political science , law

In this paper we present a direct application of the theory of infinite-dimensional projected dynamical systems (PDS) related to the well-known obstacle problem, i.e., the problem of determining the shape of an elastic string stretched over a body (obstacle). While the obstacle problem is static in nature and is solved via variational inequalities theory, we show here that the dynamic problem of describing the vibration movement of the string around the obstacle is solved via the infinite-dimensional theory of projected dynamical systems

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