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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analytic smoothing effect of a class of ultra-parabolic equations
一类超抛物型方程 解析 光滑效应
2023/11/29
We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
Ratchet effect on a relativistic particle driven by external forces
Ratchet effect relativistic particle driven
2011/7/6
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any ex...
We consider the vibrational energy levels of the first two electronic states of the molecule ion H+ 2 . The Born-Oppenheimer method applied to the case of the Stark effect on a H+
2 -like molecule gi...
On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation
Kerr-media modelled non-linear Schrodinger equation
2010/4/6
We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model base...