supported by the Ministry of Education and Science of Ukraine(Grant No.0115U003208)。
A solvable model of lateral line of a fish based on a wave equation with additional boundary conditions on a set of isolated points is proposed.Within the framework of this model it is shown that the ratio of pressure...
Project supported by the National Natural Science Foundation of China(Grant Nos.11275031,11475034,11575033,and 11274026);the National Basic Research Program of China(Grant No.2013CB834100)
Rayleigh–Taylor instability(RTI)in cylindrical geometry initiated by velocity and interface perturbations is investigated analytically through a third-order weakly nonlinear(WN)model.When the initial velocity perturb...
Project supported by the Ministry of Science and Technology of China(Grant No.2016YFA0301000);the National Natural Science Foundation of China(Grant No.11334006)
The rise of topological insulators in recent years has broken new ground both in the conceptual cognition of condensed matter physics and the promising revolution of the electronic devices.It also stimulates the explo...
Project supported by Grants-in-aid for Scientific Research of JSPF, Japan (Grant Nos. 21224014 and 23244113);the Collaboration Programs of NIFS (Grant No. NIFS10KOAP023);the RIAM of Kyushu University;Asada Science Foundation
A theory of the dynamic response of the turbulent plasma against the externally-controlled perturbations is reported. Based on Mori's method [Prog. Theor. Phys. 33 423 (1965)], the nonlinear force is assmned to be ...
Project supported by the National Natural Science Foundation of China (Grant No. 10947023);the Fundamental Research Funds for the Central Universities (Grant No. 2012ZZ0079)
The eigen-frequencies of the axial w-mode oscillations of hyperon stars are examined. It is shown that as the appearance of hyperons softens the equation of state of the super-density matter, the frequency of gravitat...
supported by the Science Foundation of the Education Department of Hunan Province of China (Grant No. 07c578);in part by the US National Science Foundation NRAC;the McDonnell Center for the Space Sciences of the Washington University(Grant No. MCA93S025)
Methods of finding quasi-normal modes of non-rotating relativistic stars have been well established, however, none of the existing treatments which take spacetime and fluid oscillations fully into account can determin...
supported by the National Natural Science Foundation of China (Grants Nos. 10775050,10705055 and 10935013;the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20070542002);the Programme for the Key Discipline in Hunan Province of China,the Foundation for the Author of National Excellent Doctoral Dissertation of China(Grant No. 200922);the New Century Educational Talents Plan of Chinese Education Ministry (Grant No. 09-0144)
We discuss, using a recently proposed parametrization for the growth index of linear matter perturbations, the observational constraints on the wCDM model and the Dvali Gabadadze-Porrati (DGP) model with all current...
A novel method for obtaining the approximate symmetry of a partial differential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter se...
Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Science Foundation of Zheiiang Province of China (Grant No 102053). 0ne of the authors (Lin) would like to thank Prof. Sen-yue Lou for many useful discussions.
In this paper Lou's direct perturbation method is applied to the perturbed coupled nonlinear Schrodinger equations to obtain their asymptotical solutions, which include not only the zero-order solutions but also the ...
Project supported by the Key Youth Project of Southwest University for Nationalities of China and the Natural Science Foundation of the State Nationalities Affairs Commission of China (Grant Nos 07XN05 and 05XN07).
The impulsive control of chaotic systems, which are subjected to unbounded exogenous perturbations, is considered. By using the theory of impulsive differential equation together with the fuzzy control technique, the ...