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We review the role of dual pairs in mechanics and use them to derive particle-like solutions to regularized incompressible fluid systems. In our case we have a dual pair resulting from the action of diffeomorphisms on point particles (essentially by moving the points). We then augment our dual pair by considering the action of diffeomorphisms on Taylor series, also known as jets. The augmented weak...
The Institute of Micro-and Nanotechnology MacroNano® at Technische Universität Ilmenau was founded in 2005 to provide a structural base for interdisciplinary research ranging from basic to applied and application-oriented research with a strong focus on nano- and microsystems. It comprises the competences of several engineering and natural science groups of the university. The paper will cover current...
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