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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...
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...
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 ...
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...
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.
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 ...
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...
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...
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...
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...
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,...

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