Particulate matter （PM）, which is a great environmental concern, has been classified as a Group 1 human carcinogen by the International Agency for Research on Cancer （IARC）;.Epidemiological and experimental studie...Particulate matter （PM）, which is a great environmental concern, has been classified as a Group 1 human carcinogen by the International Agency for Research on Cancer （IARC）;.Epidemiological and experimental studies have indicated that chronic exposure to PM, especially PM;(particles with an aerodynamic diameter less than展开更多
A continuous-discontinuous cellular automaton method is developed for rock initiation and propagation simulations, in which the level set method, discontinuous enrichment shape functions and discontinuous cellular aut...A continuous-discontinuous cellular automaton method is developed for rock initiation and propagation simulations, in which the level set method, discontinuous enrichment shape functions and discontinuous cellular automaton are combined. No renmshing is needed for crack growth analysis, and all calculations are restricted to cells without an assembled global stiffness matrix. The frictional contact theory is employed to construct the contact model of normal pressure and tangential shear on crack surfaces. A discontinuous cellular automaton updating rule suitable for frictional contact of rock is proposed simultaneously with Newton＇s iteration method for nonlinear iteration. Besides, a comprehensive fracturing criterion for brittle rock under compression-shear loading is developed. The accuracy and effectivenesss of the proposed method is proved by numerical simulation.展开更多
We study a quasilinear Schrodinger equation {-εN△Nu＋V（x）｜u｜N-2= Q（x）f（u） in R^N,0〈u∈W1,N（RN）,u（x）^｜x｜→∞0,where V, Q are two continuous real functions on R^N and c 〉 0 is a real parameter. Assume ...We study a quasilinear Schrodinger equation {-εN△Nu＋V（x）｜u｜N-2= Q（x）f（u） in R^N,0〈u∈W1,N（RN）,u（x）^｜x｜→∞0,where V, Q are two continuous real functions on R^N and c 〉 0 is a real parameter. Assume that the nonlinearity f is of exponential critical growth in the sense of Trudinger-Moser inequality, we are able to establish the existence and concentration of the semiclassical solutions by variational methods. Keywords Exponential critical growth, semiclassical solutions, variational methods展开更多
基金supported by the National Natural Science Foundation of China[81202231 to LLH]the Medical Scientific Research Funding of Guangdong Province,China[A2018225 to LLH]+1 种基金the College Students Cultivate Special Science and Technology Innovation from Education Department of Guangdong Province,China[pdjh2016a0212]the Project for Creative Talent of Guangdong Education Department[2014KQNCX102]
文摘Particulate matter （PM）, which is a great environmental concern, has been classified as a Group 1 human carcinogen by the International Agency for Research on Cancer （IARC）;.Epidemiological and experimental studies have indicated that chronic exposure to PM, especially PM;(particles with an aerodynamic diameter less than
基金supported by the National Key Technologies R&D Program of China(No.2013BAB02B01)the National Natural Science Foundation of China(Nos.41272349,41172284 and 51322906)
文摘A continuous-discontinuous cellular automaton method is developed for rock initiation and propagation simulations, in which the level set method, discontinuous enrichment shape functions and discontinuous cellular automaton are combined. No renmshing is needed for crack growth analysis, and all calculations are restricted to cells without an assembled global stiffness matrix. The frictional contact theory is employed to construct the contact model of normal pressure and tangential shear on crack surfaces. A discontinuous cellular automaton updating rule suitable for frictional contact of rock is proposed simultaneously with Newton＇s iteration method for nonlinear iteration. Besides, a comprehensive fracturing criterion for brittle rock under compression-shear loading is developed. The accuracy and effectivenesss of the proposed method is proved by numerical simulation.
基金partially supported by PROCAD/UFG/Un B and FAPDF(Grant No.PRONEX 193.000.580/2009)partially supported by NSFC(Grant Nos.11571317,11101374,11271331)ZJNSF(Grant No.Y15A010026)
文摘We study a quasilinear Schrodinger equation {-εN△Nu＋V（x）｜u｜N-2= Q（x）f（u） in R^N,0〈u∈W1,N（RN）,u（x）^｜x｜→∞0,where V, Q are two continuous real functions on R^N and c 〉 0 is a real parameter. Assume that the nonlinearity f is of exponential critical growth in the sense of Trudinger-Moser inequality, we are able to establish the existence and concentration of the semiclassical solutions by variational methods. Keywords Exponential critical growth, semiclassical solutions, variational methods
