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math-ph2018
De Donder Construction for Higher Jets
Jedrzej Sniatycki, Reuven Segev
In this paper, we generalize De Donder approach to construct boundary forms that depend on the adapted coordinate system used. In continuum mechanics, use of boundary forms leads t…
math-ph2018
Hyper-Stresses in -Jet Field Theories
Reuven Segev, Jędrzej Śniatycki
For high-order continuum mechanics and classical field theories configurations are modeled as sections of general fiber bundles and generalized velocities are modeled as variations…