Case-based reasoning is a recent approach to knowledge-based problem solving and decision support: A new problem is solved by remembering a previous similar situation and by reusing information and knowledge of that situation. Let us illustrate this by looking at some typical problem solving situations: A physician is examining a patient in his office. He gets a reminding to a patient that he t...

Two-dimensional direct numerical simulation (DNS) databases of bluff-body-stabilized lean hydrogen flames representative complicated reactive–diffusive system are analysed using the combined approach computational singular perturbation (CSP) and tangential stretching rate (TSR) to investigate chemical characteristics in blow-off dynamics. To assess diagnostic approaches flame dynamics, Damköhle...

Ureteroinguinal herniation is a rare event, usually diagnosed during the surgical repair of inguinal hernias. Here, we describe the first case of a kidney blow out due to this condition in a male infant.

If h is a nondecreasing real valued function and 0 ≤ q ≤ 2, we analyse the boundary behaviour of the gradient of any solution u of −∆u+ h(u) + |∇u|q = f in a smooth N-dimensional domain Ω with the condition that u tends to infinity when x tends to ∂Ω. We give precise expressions of the blow-up which, in particular, point out the fact that the phenomenon occurs essentially in the normal directio...

Blow up in a one-dimensional semilinear heat equation is studied using combination of numerical and analytical tools. The focus on problems periodic the space variable starting out from nearly flat, positive initial condition. Novel results include asymptotic approximations solution different timescales that are, combination, valid over entire time interval right to including blow-up time. Both...