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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some special cases of the three dimensional Kakeya conjecture and their application to the restriction conjecture
三维Kakeya猜想 特殊情况 限制猜想
2023/5/9
We will discuss two special cases of the three-dimensional Kakeya conjecture: SL_2 Kakeya and a refined Wolff's hairbrush result. As an application of the refined Wolff's hairbrush result, we will dis...
Worst cases for an one-hop high frequency link
ionosphere radio propagation worst cases ray-tracing
2015/9/25
The characterisation of a HF channel by means of monthly electron density profiles can be complemented with a detailed study of radio propagation «worst cases» on situations with extremes co...
19th century earthquakes in Mexico: three cases, three comparative studies
earthquakes Mexico City
2015/9/14
This paper is a comparative study of the three strongest 19th century earthquakes in Mexico and their effects and impact mainly in Mexico City. The research is based on historical sources and previous...
MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
A cloud chemistry module for the 3-D cloud-resolving mesoscale model Meso-NH with application to idealized cases
cloud chemistry module 3-D cloud-resolving mesoscale model
2014/12/12
A complete chemical module has been developed
for use in the Meso-NH three-dimensional cloud resolving mesoscale model. This module includes gaseousand
aqueous-phase chemical reactions that are anal...
Downscale cascades in tracer transport test cases: an intercomparison of the dynamical cores in the Community Atmosphere Model CAM5
tracer transport test cases the dynamical cores Community Atmosphere Model CAM5
2014/12/10
The accurate modeling of cascades to unresolved scales is an important part of the tracer transport component of dynamical cores of weather and climate models. This paper aims to investigate the abili...
Multi-quadratic quad equations: integrable cases from a factorised-discriminant hypothesis
Multi-quadratic quad equations integrable cases factorised-discriminant hypothesis Exactly Solvable and Integrable Systems
2012/4/26
We give integrable quad equations which are multi-quadratic (degree-two) counterparts of the well-known multi-affine (degree-one) equations classified by Adler, Bobenko and Suris (ABS). These multi-qu...
Geotechnical Properties of Problematic Soils Emphasis on Collapsible Cases
Soil Collapse South Rudasht Dorcheh Sivand
2013/3/7
Soils are unconsolidated materials that are result of weathering and erosion process of rocks. When water content of some soils change, it makes problems to civil activities. These problems include sw...
On critical cases of Sobolev's inequalities for Heisenberg groups
Heisenberg group Sobolev's inequality Brezis-Gallouet-Wainger inequality
2011/10/17
This paper deal with the problem of Sobolev imbedding in the critical cases. We prove some Trudinger-type inequalities on the whole Heisenberg group, extending to this context the Euclidean results by...
On critical cases of Sobolev's inequalities for Carnot groups
Carnot group Sobolev's inequality Brezis-Gallouet-Wainger inequality
2011/10/15
In this paper we deal with the problem of Sobolev imbedding in thecritical cases on Carnot groups. We prove some Trudinger-type inequalities on the whole Carnot group, extending to this context the Eu...
Stability of bound states of Hamiltonian PDEs in the degenerate cases
Hamiltonian PDEs degenerate cases Analysis of PDEs
2011/9/14
Abstract: We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate case. We ap...
Correctors and Field Fluctuations for the $p_ε(x)$-Laplacian with Rough Exponents: Cases$1 and $1
correctors dispersed media homogenization layered media plaplacian periodic domain power-law materials young measures
2011/9/9
Abstract: A corrector theory for the strong approximation of fields inside composites made from two materials with different power law behavior is provided. The correctors are used to develop bounds o...
On some special cases of the Entropy Photon-Number Inequality
the Entropy Photon-Number Inequality Quantum Physics Information Theory
2011/10/8
Abstract: We show that the Entropy Photon-Number Inequality (EPnI) holds where one of the input states is the vacuum state and for several candidates of the other input state that includes the cases w...
A Survey of Aesthetic Value in the Development of Modern Urban Design - The Comparative Analysis of the Six Dynasties Nanjing and Beijing Urban Design Cases
Aesthetic Value Orientation Beijing Nanjing Urban Design
2011/12/20
With the advent of urban construction upsurge, the construction of urban design in the city is playing an increasingly important role. Beauty is the goal of urban design, rapid development in modern c...
Strong-field dipole resonance. I. Limiting analytical cases
population dynamics N-level systems dipolar molecules resonance
2011/3/3
We investigate population dynamics in N-level systems driven beyond the linear regime by a
strong external field, which couples to the system through an operator with nonzero diagonal
elements.