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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On cancellation laws in cardinal arithmetic without the axiom of choice
选择公理 基数算术 取消定律
2023/4/17
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low regularity conservation laws for the fifth-order modified KdV equations in Besov spaces
Besov空间 五阶修正KdV方程 低正则性 守恒定律
2023/4/19
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
From crystal steps to continuum laws:Behavior near large facets in one dimension
Crystal surface Epitaxial relaxation Self-similar solution Burton–Cabrera–Frank (BCF) model Facet Macroscopic limit
2015/10/16
The passage from discrete schemes for surface line defects (steps) to nonlinear macroscopic laws for crystals is studied via formal asymptotics in one space dimension. Our goal is to illustrate by exp...
Homogenization of composite vicinal surfaces: Evolution laws in 1+1 dimensions
Crystal surface Burton–Cabrera–Frank (BCF) model Line defects Diffusion Macroscopic limit Multiscale expansion
2015/10/16
We apply classical homogenization to derive macroscopic relaxation laws for crystal surfaces with distinct inhomogeneities at the microscale. The proposed method relies on a formal multiscale expansio...
BOSE-EINSTEIN CONDENSATION AT FINITE TEMPERATURES:MEAN FIELD LAWS WITH PERIODIC MICROSTRUCTURE
quantum dynamics Bose-Einstein condensation periodic homogenization finite temperatures two-scale expansion mean field limit
2015/10/16
At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the lang...
Compact Central WENO Schemes for MultiDimensional Conservation Laws
hyperbolic systems central difference schemes high-order accuracy nonoscillatory schemes WENO reconstruction CWENO reconstruction
2015/10/8
We present a new third-order central scheme for approximating solutions of systems of conservation laws in one and two space dimensions. In the spirit of Godunov-type schemes, our method is based on r...
On the Behavior of the Total Variation in CWENO Methods for Conservation Laws
Hyperbolic conservation laws Central difference schemes High-order accuracy Non-oscillatory schemes CWENO reconstruction TVB
2015/10/8
We consider a family of high-order, weighted essentially non-oscillatory central schemes (CWENO) for approximating solutions of one-dimensional hyperbolic systems of conservation laws. We are interest...
Third-order 2D Central Schemes for Hyperbolic Conservation Laws
Two-dimensional framework system the law of conservation of two-dimensional euler equation the high resolution
2015/10/8
We extend a one-dimensional central-scheme first introduced by Liu and Tadmor, to the rather general framework of two-dimensional systems of conservation laws. This scheme is based on a two-dimensiona...
High-Resolution Non-Oscillatory Central Schemes with Non-Staggered Grids for Hyperbolic Conservation Laws
hyperbolic conservation laws central schemes staggered grids
2015/10/8
We present a general procedure to convert schemes which are based on staggered spatial grids into non-staggered schemes. This procedure is then utilized to construct a new family of non-staggered, cen...
Short time scale laws in self-potentialsignals from two different seismically active Mediterranean areas(the Southern Apennine chainand Crete Island)
self-potential earthquake prediction structural analysis anomalous diffusion
2015/9/28
Self-potential time series are investigated to characterise self-potential time scales. The data analysed were recorded in stations located in two active seismic areas of the Mediterranean region, the...
3D dynamic simulations of spontaneous rupture propagation governed by different constitutive laws with rake rotation allowed
earthquake dynamics numerical modeling friction laws slip time history rake rotation
2015/9/10
In this work we present a 3D Finite Difference numerical method to model the dynamic spontaneous propagation
of an earthquake rupture on planar faults in an elastic half-space. We implement the Tract...
The El Nino events: their classification and scale-invariance laws
fractal geometry scale-invariance MEI, El Nino, SOC
2015/8/28
Many point indices have been developed to describe the El Niño/Southern Oscillation but the Multivariate ENSO Index (MEI) is considered the most representative since it links different meteorolog...
Gabe Csanady's 'Air-Sea Interaction: Laws and Mechanisms' provides a new and long needed perspective on air-sea interaction. This book discusses similarities and differences in the ocean and atmospher...
Moderate dispersion in scalar conservation laws
Travelling waves moderate dispersion Korteweg de Vries equation entropy solutions dissipative-dispersive scalar conservation laws
2015/7/14
We consider the weakly dissipative and weakly dispersive Burgers-Hopf-Korteweg-de-Vries equation with the diffusion coefficient ε and the dispersion rate δ in the range δ/ε → 0. We study thetravelling...
POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES
TYPINGS RANDOMLY UNEQUAL PROBABILITIES
2015/7/6
The case where letters are hit with unequal probability has been the subject of recent confusion, with
some suggesting that in this case the rank-frequency distribution follows a lognormal distributi...