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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Normalized solutions of nonlinear Schrodinger equations with exponential critical growth
指数临界增长 非线性薛定谔方程 归一化解
2023/5/15
In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Scattering and Bound State Solutions of Asymmetric Hulthén Potential
Scattering states bound states asymmetric Hulthen Potential Schrodinger equation
2011/9/13
Abstract: One-dimensional time-independent Schr\"odinger equation is solved for the asymmetric Hulth\'{e}n potential. Reflection and transmission coefficients and bound state solutions are obtained in...
Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry
Dynamics of solutions Einstein equations twisted Gowdy symmetry
2010/12/20
Some of the most interesting results on the global dynamics of solutions of the vacuum Einstein equations concern the Gowdy spacetimes whose spatial topology is that of a three-dimensional torus.
f(R) cosmological solutions with varying speed of light
f(R) cosmological varying speed of light
2010/3/18
We consider f(R) modified gravity theories for describing varying speed of light in a spatially flat FRW model, and find some exact solutions. Also we examine the dynamics of this model by dynamical s...
Fluctuating Twistor-Beam Solutions and Holographic Pre-Quantum Kerr-Schild Geometry
Fluctuating Twistor-Beam Solutions Holographic Pre-Quantum Kerr-Schild Geometry
2010/3/17
Kerr-Schild (KS) geometry is based on a congruence of twistor null lines which forms a holographic space-time determined by the Kerr theorem. We describe in details integration of the non-stationary D...
hbar-expansion of KP hierarchy: Recursive construction of solutions
hbar-expansion KP hierarchy Planck constant
2010/4/7
The \hbar-dependent KP hierarchy is a formulation of the KP hierarchy that depends on the Planck constant \hbar and reduces to the dispersionless KP hierarchy as \hbar -> 0. A recursive construction o...
Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
Any l-state quasi-exact solutions Klein-Gordon equation vector Hulthen potentials
2010/4/7
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordo...
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
split Bose-Einstein condensate mean-field model exact analytical solutions
2007/8/15
2002Vol.37No.4pp.413-418DOI:
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
WU Ying1,2 and YANG Xiao-Xue1
...
On Set-Theoretical Solutions to Quantum Yang-Baxter Equation
quantum Yang-Baxter equation
set-theoretical solution metahomomorphism
2007/8/15
2003Vol.39No.2pp.141-143DOI:
On Set-Theoretical Solutions to Quantum Yang-Baxter Equation
GU Pei1 and BAI Cheng-Ming2,3
1 Department of Mathematics, Nankai University, T...
Quantum and Classical Exact Solutions of
Harmonic Oscillator in a Time-Dependent Magnetic Field
harmonic oscillator magnetic field exact wave function exact classical solution
2007/8/15
2005Vol.43No.6pp.1027-1029DOI:
Quantum and Classical Exact Solutions of
Harmonic Oscillator in a Time-Dependent Magnetic Field
LIANG Mai-Lin1,2 and LIU Li-Yan1
1 Departm...
Painlevé Nonstandard Truncation Expansion Solutions of Dynamics
Equation of Diblock Copolymer
Painlevé nonstandard truncated expansion
phase separation diblock copolymer hyperbolic function elliptic function
2007/8/15
2005Vol.43No.3pp.561-566DOI:
Painlevé Nonstandard Truncation Expansion Solutions of Dynamics
Equation of Diblock Copolymer
QIAN Xian-Min,1,2 ZHU Yue-Jin,3 and HUANG
Fu-Bin1
...