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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...
A stochastic step flow model with growth in 1+1 dimensions
stochastic step flow model growth 1+1 dimensions
2015/10/16
Mathematical implications of adding Gaussian white noise to the Burton– Cabrera–Frank model for N terraces (‘gaps’) on a crystal surface are studied under external material deposition for large N. The...
Small fluctuations in epitaxial growth via conservative noise
Small fluctuations epitaxial growth conservative noise
2015/10/16
We study the combined effect of growth (material deposition from above) and nearest-neighbor entropic and force-dipole interactions in a stochastically perturbed system of N line defects (steps) on a ...
The effects of environmental disturbances on tumor growth
tumor cell growth model noise interference steady probability distribution
2012/5/17
In this study, the analytic expressions of the steady probability distribution of tumor cells were established based on the steady state solution to the corresponding Fokker-Planck equation. Then, the...
Abstract: We consider the normal matrix ensemble under a general confining potential. We find that the eigenvalues condensate on a compact set in the plane, which we call the spectral droplet. We also...
Fractal dimension evolution and spatial replacement dynamics of urban growth
bifurcation chaos fractal dimension Boltzmann’s equation logistical map spatial replacement nonlinear dynamics urban form urban growth
2011/8/29
This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain ...
We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interfa...
We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interfa...
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.
Error growth and dynamical vectors during southern hemisphere blocking
Error growth dynamical vectors southern hemisphere blocking
2009/11/11
The structural organization of initially random perturbations or "errors" evolving in a barotropic tangent linear model with time-dependent basic states taken from observations, is examined for cases ...
Transition of Growth Mode in Homoepitaxy on Metal Surface
growth mode transition Monte Carlo simulation surface roughness oscillation
2007/8/15
2007Vol.48No.1pp.175-178DOI:
Transition of Growth Mode in Homoepitaxy on Metal Surface
WU Li-Li, LU Hang-Jun, and WU Feng-Min
College of Mathematics and Physics, Informa...
Kinetic Behavior of Aggregation-Exchange Growth
Process with Catalyzed-Birth
kinetic behvavior aggregation-exchange growth
catalyzed-birth scaling law rate equations
2007/8/15
2007Vol.47No.3pp.479-486DOI:
Kinetic Behavior of Aggregation-Exchange Growth
Process with Catalyzed-Birth
HAN An-Jia, CHEN Yu, LIN Zhen-Quan, and KE Jian-Hong
Department...
Kinetic Behavior of Exchange-Driven Growth with Catalyzed-Birth Processes
kinetic behavior exchange-driven growth catalyzed-birth
scaling law rate equations
2007/8/15
2006Vol.46No.6pp.1113-1120DOI:
Kinetic Behavior of Exchange-Driven Growth with Catalyzed-Birth Processes
WANG Hai-Feng,1,2 LIN Zhen-Quan,1 and KONG Xiang-Mu2
1 Departme...
Quantitative Measurement of the Exponential Growth of Spreading
Width of a Quantum Wave Packet
in Chaotic Systems
exponential instability of motion total uncertainty
measurement maximum Lyapunov exponent
2007/8/15
2002Vol.37No.6pp.671-674DOI:
Quantitative Measurement of the Exponential Growth of Spreading
Width of a Quantum Wave Packet
in Chaotic Systems
LI Jun-Qing,1,2 LIU Fang,3 XING Yong...
Stability of Crystal Growth Face and Dissolution Face in
Crystallization from Solution under Microgravity
microgravity crystal growth from solution two-dimensional model
stability of crystal growth face and dissolution face
2007/8/15
2002Vol.37No.1pp.117-124DOI:
Stability of Crystal Growth Face and Dissolution Face in
Crystallization from Solution under Microgravity
ZHU Zhen-He,1,2,3 LUO Lin,1,4 LI Chao-Rong1,...