Global attractors for p-Laplacian equation

AbstractThe existence of a (L2(Ω),W01,p(Ω)∩Lq(Ω))-global attractor is proved for the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g on a bounded domain Ω⊂Rn (n⩾3) with Dirichlet boundary condition, where p⩾2. The nonlinear term f is supposed to satisfy the polynomial growth condition of arbitrary order c1|u|q−k⩽f(u)u⩽c2|u|q+k and f′(u)⩾−l, where q⩾2 is arbitrary. There is no other restriction on p and q. The asymptotic compactness of the corresponding semigroup is proved by using a new a priori estimate method, called asymptotic a priori estimate

Application and Safety Evaluation of Integrated TCM-WM in the Treatment of COVID-19

Introduction: With the emergence of more infectious mutant strains and the appearance of new crown sequelae, early precise treatment is particularly important. The traditional Chinese medicine and Western medicine (TCM-WM) treatment plan exhibits unique superiority in the COVID-19 treatment, but the efficacy and safety have not been fully elucidated. Methods: A analysis of the clinical characteristics of 7 COVID-19 patients diagnosed in our hospital, as well as the results of precise individual intervention treatment with TCM-WM, including laboratory examination, and CT changes of imaging. Results: On admission, laboratory results showed that 7 patients' overall Lymphocyte count (LYM#), Percent Lymphocytes (LYM %), and Alanine aminotransferase (ALT) were reduced, but Neutrophil percentage (NEU%) were increased. CT imaging showed that most patients had multiple patchy shadows and ground-glass shadows in both lungs. After TCM-WM treatment, the above pathological states were significantly improved. All patients were followed up and had a good prognosis. Conclusions: Accurate therapy with TCM-WM can quickly and effectively alleviate and treat patients with COVID-19, without severe Long Covid

Gas-Purged Headspace Liquid Phase Microextraction System for Determination of Volatile and Semivolatile Analytes

In order to achieve rapid, automatic, and efficient extraction for trace chemicals from samples, a system of gas-purged headspace liquid phase microextraction (GP-HS-LPME) has been researched and developed based on the original HS-LPME technique. In this system, semiconductor condenser and heater, whose refrigerating and heating temperatures were controlled by microcontroller, were designed to cool the extraction solvent and to heat the sample, respectively. Besides, inert gas, whose gas flow rate was adjusted by mass flow controller, was continuously introduced into and discharged from the system. Under optimized parameters, extraction experiments were performed, respectively, using GP-HS-LPME system and original HS-LPME technique for enriching volatile and semivolatile target compounds from the same kind of sample of 15 PAHs standard mixture. GC-MS analysis results for the two experiments indicated that a higher enrichment factor was obtained from GP-HS-LPME. The enrichment results demonstrate that GP-HS-LPME system is potential in determination of volatile and semivolatile analytes from various kinds of samples