Our aim is to introduce and study a new partial integrodifferential equation (PIDE) associated with the dynamics of some physical granular structure with arbitrary component sizes, like a sandpile or sea dyke. Our PIDE is closely related to the nonlocal evolution problem introduced in [F. Andreu et al., Calc. Var. Partial Differential Equations, 35 (2009), pp. 279–316] by studying the limit, as...

A 54-year-old woman was seen due to weakness and gait difficulty. Physical examination revealed spasticity (Ashworth 2–3), weakness (3/5), hyperactive deep tendon reflexes on the right side, and facial asymmetry. MRI of the brain was consistent with Dyke-Davidoff-Masson Syndrome (DDMS) (figure). DDMS ensues due to an insult to the developing brain, characterized by cerebral hemiatrophy, contral...

A reliability-based analysis framework, accounting for uncertainty arising from the spatial variability of soil properties, has been validated controlled, well-instrumented slope failure an historic dyke in Netherlands. Using property statistics derived results laboratory and cone penetration test (CPT) data different layers at site, was analysed initial (i.e. operating) conditions, as well lat...