We study the solitary wave solutions in a thin film of a power-law fluid coating a vertical fibre. Different behaviours are observed for shear-thickening and shear-thinning fluids. For shear-thickening fluids, the solitary waves are larger and faster when the reduced Bond number is smaller. For shear-thinning fluids, two branches of solutions exist for a certain range of the Bond number, where the solitary waves are larger and faster on one and smaller and slower on the other as the Bond number decreases. We carry out an asymptotic analysis for the large and fast-travelling solitary waves to explain how their speeds and amplitudes change with the Bond number. The analysis is then extended to examine the stability of the two branches of solutions for the shear-thinning fluids.

The scored Patient-Generated Subjective Global Assessment (PG-SGA) is considered to be the most appropriate tool for detecting malnutrition in cancer patients. In particular, malignant tumours derived from the gastrointestinal tract may impair nutrient intake and absorption and cause malnutrition. We carried out a cross-sectional study to assess the nutritional status and related factors of patients with gastrointestinal cancer. Nutritional status was determined using the scored PG-SGA in patients (n 498) with advanced gastrointestinal cancer admitted to the Gastrointestinal Medical Oncology Unit at Beijing Cancer Hospital between 1 August 2012 and 28 February 2013. The possible related factors including age, sex, hospitalisation frequency and pathology were explored. We found that 98 % of the patients required nutrition intervention and 54 % of the patients required improved nutrition-related symptom management and/or urgent nutritional support (PG-SGA score ≥ 9). Factors related to malnutrition were age (r 0·103, P< 0·01), hospitalisation frequency (r − 0·196, P< 0·01) and sex (the prevalence of malnutrition was higher in men than in women (9·88 v. 8·54, P< 0·01)). Patients with rectal cancer had a lower risk of malnutrition than patients with other types of gastrointestinal cancer (F= 35·895, P< 0·01). More attention should be paid to the nutritional status of gastrointestinal patients, especially those at a higher risk of malnutrition, such as elderly patients, those hospitalised for the first time, male patients and those with other types of gastrointestinal cancer except rectal cancer. The nutritional status of these patients should be evaluated and they should be given proper nutrition education and nutritional support in a timely manner.

Kalliadasis & Chang (J. Fluid Mech., vol. 261, 1994, pp. 135–168) showed within lubrication theory that if a liquid film is thicker than a critical value then drops will accelerate and grow, whereas with thinner films the drops fall at a constant velocity. As the thickness of the film increases to the critical value, the drops move faster and are larger. We revisit their asymptotic analysis of these large drops. While we recover their results for the leading-order and first correction, we do not agree on further corrections. In particular we find it necessary to evaluate the third correction, which they do not consider, before we obtain a first approximation to the dependence of the speed on the non-dimensional control parameter. We proceed to two further corrections in order to improve this first approximation to the speed.