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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher-order Hamiltonian generalization evolution equations
高阶 哈密顿 广义演化方程
2023/11/13
In this talk, I will review several classes of higher-order generalizations of the integrable Camassa-Holm equation in the Hamiltonian forms. Then, I talk about some new results for one generalized Ca...
Higher-Order Stark Spectroscopy:Polarizability of Photosynthetic Pigments
Higher-Order Stark Spectroscopy Polarizability Photosynthetic Pigments
2016/5/23
Stark spectra for nonoriented molecules with typical broad inhomogeneous line widths are obtained by applying an ac electric field and detecting the change in absorbance at the second harmonic of the ...
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
Higher order polarizabilities of the proton
Compton scattering protons high order polarization quark model
2014/12/22
Compton scattering results are used to probe proton structure via measurement of higher order polarizabilities. Values for αE2p, βE2p, αEνp, and βEνp determined via dispersion relations ar...
Unified parameterization of the planetary boundary layer and shallow convection with a higher-order turbulence closure in the Community Atmosphere Model: single-column experiments
the planetary boundary layer higher-order turbulence closure Community Atmosphere Model single-column experiments
2014/12/10
This paper describes the coupling of the Community Atmosphere Model (CAM) version 5 with a unified multi-variate probability density function (PDF) parameterization, Cloud Layers Unified by Binormals ...
Improved convergence and stability properties in a three-dimensional higher-order ice sheet model
Improved convergence stability properties i
2014/12/9
We present a finite difference implementation of
a three-dimensional higher-order ice sheet model.In comparison to a conventional centred difference discretisation it
enhances both numerical s...
Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks
Higher-order kinetic expansion quantum dissipative dynamics Mapping quantum networks kinetic networks
2014/9/24
We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics ...
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations
Eigenvalue 痭 ite element higher order local computation
2012/8/8
Based on some coupled discretizations, a local computational scheme is proposed
and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its
e眂iency is proven b...
On the Computation of the Higher-Order Statistics of the Channel Capacity for Amplify-and-Forward Multihop Transmission
Computation the Higher-Order Statistics the Channel Capacity Amplify-and-Forward Multihop Transmission Information Theory
2012/6/15
The latest research trends in the wireless communications and standardizations [1] accentuate that the higher-order statistics (HOS) of the channel capacity are necessary to achieve a reliable and tru...
Ultrasolitons: multistability and subcritical power threshold from higher-order Kerr terms
Ultrasolitons multistability and subcritical power threshold higher-order Kerr terms Pattern Formation and Solitons
2012/4/27
We show that an optical system involving competing higher-order Kerr nonlinearities can support the existence of ultrasolitons, namely extremely localized modes that only appear above a certain thresh...
Modulation instability in nonlinear metamaterials induced by cubic-quintic nonlinearities and higher order dispersive effects
Modulation instability nonlinear metamaterials cubic-quintic nonlinearities higher order dispersive effects Optics
2012/4/20
We have investigated modulation instability in metamaterials (MM) with both cubic and quintic nonlinearities, based on a model appropriate for pulse propagation in MMs with cubic-quintic nonlinearitie...
We introduce the higher order spreading models associated to a Banach space $X$. Their definition is based on $\ff$-sequences $(x_s)_{s\in\ff}$ with $\ff$ a regular thin family and the plegma families...
Sub-Supersolution Method for a Class of Higher Order Evolution Hemivariational
Evolution hemivariational inequality sub-solution super-solution extremal solution sub-supersolution method
2011/11/17
In this paper, we extend extremality results for the variational inequality to a higher order evolution hemivariational inequality. More precisely, we give an existence theorem of solution for the hig...
Stability of solitary waves for the generalized higher-order Boussinesq equation
Boussinesq equation solitary waves stability Analysis of PDEs
2011/9/19
Abstract: This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Higher order Laguerre-Gauss mode degeneracy in realistic, high finesse cavities
Higher order Laguerre-Gauss degeneracy realistic high finesse cavities
2011/10/14
Higher order Laguerre-Gauss (LG) beams have been proposed for use in future gravitational wave detectors, such as upgrades to the Advanced LIGO detectors and the Einstein Telescope, for their potentia...