The mulfifractal formalism for single measure is reviewed. Next, a mixed generalized multifractal formalism is introduced which extends the multifractal formalism of a single measure based on generalizations of the Ha...The mulfifractal formalism for single measure is reviewed. Next, a mixed generalized multifractal formalism is introduced which extends the multifractal formalism of a single measure based on generalizations of the Hausdorff and packing measures to a vector of simultaneously many measures. Borel-Cantelli and Large deviations Theorems are extended to higher orders and thus applied for the validity of the new variant of the multifractal formalism for some special cases of multi-doubling type measures.展开更多
We study the homogeneous Dirichlet problem in a ball for semi-linear elliptic problems derived from the Brezis-Nirenberg one with concave-convex nonlinearities. We are interested in determining non-radial solutions wh...We study the homogeneous Dirichlet problem in a ball for semi-linear elliptic problems derived from the Brezis-Nirenberg one with concave-convex nonlinearities. We are interested in determining non-radial solutions which are invariant with respect to some subgroup of the orthogonal group. We prove that unlike separated nonlinearities, there are two types of solutions, one converging to zero and one diverging. We conclude at the end on the classification of non radial solutions related to the nonlinearity used.展开更多
A model is developed to calculate emission spectrum from plasmas in nonlocal-thermodynamic-equilibrium(NLTE).The populations are obtained with a Collisional Radiative Model and the spectrum is calculated with the Unre...A model is developed to calculate emission spectrum from plasmas in nonlocal-thermodynamic-equilibrium(NLTE).The populations are obtained with a Collisional Radiative Model and the spectrum is calculated with the Unresolved-TransitionArray(UTA)approximation.The present model is applied to the calculation of emissivity from low-,medium-and high-Z plasmas.The integrated emissivity and the spectra are compared with those calculated by other theoretical models.In general speaking,the present results of the mean charge state and emissivity agree well with some theoretical ones while large differences are found when all the theoretical results are included.展开更多
文摘The mulfifractal formalism for single measure is reviewed. Next, a mixed generalized multifractal formalism is introduced which extends the multifractal formalism of a single measure based on generalizations of the Hausdorff and packing measures to a vector of simultaneously many measures. Borel-Cantelli and Large deviations Theorems are extended to higher orders and thus applied for the validity of the new variant of the multifractal formalism for some special cases of multi-doubling type measures.
文摘We study the homogeneous Dirichlet problem in a ball for semi-linear elliptic problems derived from the Brezis-Nirenberg one with concave-convex nonlinearities. We are interested in determining non-radial solutions which are invariant with respect to some subgroup of the orthogonal group. We prove that unlike separated nonlinearities, there are two types of solutions, one converging to zero and one diverging. We conclude at the end on the classification of non radial solutions related to the nonlinearity used.
基金supported by the National Basic Research Program(No.2005CB724500)National Natural Science Foundation of China(Grant Nos.10674021 and 10604011)the Science and Technology Funds of Chinese Academy of Engineering Physics(Grant Nos.20050215 and 20060215).
文摘A model is developed to calculate emission spectrum from plasmas in nonlocal-thermodynamic-equilibrium(NLTE).The populations are obtained with a Collisional Radiative Model and the spectrum is calculated with the Unresolved-TransitionArray(UTA)approximation.The present model is applied to the calculation of emissivity from low-,medium-and high-Z plasmas.The integrated emissivity and the spectra are compared with those calculated by other theoretical models.In general speaking,the present results of the mean charge state and emissivity agree well with some theoretical ones while large differences are found when all the theoretical results are included.
