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Rotationally-symmetric solutions to a nonlinear elliptic system under an incompressibility constraint and related problemsMorrison, George January 2018 (has links)
No description available.
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Geometric patterns and microstructures in the study of material defects and compositesFanzon, Silvio January 2018 (has links)
The main focus of this PhD thesis is the study of microstructures and geometric patterns in materials, in the framework of the Calculus of Variations. My PhD research, carried out in collaboration with my supervisor Mariapia Palombaro and Marcello Ponsiglione, led to the production of three papers [21, 22, 23]. Papers [21, 22] have already been published, while [23] is currently in preparation. This thesis is divided into two main parts. In the first part we present the results obtained in [22, 23]. In these two works geometric patterns have to be understood as patterns of dislocations in crystals. The second part is devoted to [21], where suitable microgeometries are needed as a mean to produce gradients that display critical integrability properties.
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Mapping problems in the calculus of variations : twists, L1-local minimisers and vectorial symmetrisationMorris, Charles Graham January 2017 (has links)
No description available.
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