다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

Bose-Einstein condensation (BEC) has been observed in a dilute gas of sodium atoms. A Bose-Einstein condensate consists of a macroscopic population of the ground state of the system, and is a coherent state of matter. In an ideal gas, this phase transition is purely quantum-statistical. The study of BEC in weakly interacting systems which can be controlled and observed with precision holds the promise of revealing new macroscopic quantum phenomena that can be understood from first principles.

Bose-Einstein condensation in a gas of sodium atoms

IN two previous notes1, Prof. Max Born and I have shown that one can obtain a theory of superconductivity by taking account of the fact that the interaction of the electrons with the ionic lattice is appreciable only near the boundaries of Brillouin zones, and particularly strong near the corners of these. This leads to the criterion that the metal should be superconductive if a set of corners of a Brillouin zone is lying very near the Fermi surface, considered as a sphere, which limits the region in the momentum space completely filled with electrons.

On the theory of superconductivity

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Methods Of Modern Mathematical Physics

We establish some general theorems for the existence and nonexistence of ground state solutions of steady-state N coupled nonlinear Schrodinger equations. The sign of coupling constants β
 ij
 ’s is crucial for the existence of ground state solutions. When all β
 ij
 ’s are positive and the matrix Σ is positively definite, there exists a ground state solution which is radially symmetric. However, if all β
 ij
 ’s are negative, or one of β
 ij
 ’s is negative and the matrix Σ is positively definite, there is no ground state solution. Furthermore, we find a bound state solution which is non-radially symmetric when N=3.

/pdf/ground-state-of-n-coupled-nonlinear-schrodinger-equations-in-1432x7p3vz.pdf

Ground State of N Coupled Nonlinear Schrodinger Equations in {\mathbb{R}}^n, n \leq 3

Recently, there have been much analytic work on the conformally invariant operators as well as its associated differential equations. A well known second order conformally invariant operator comes from the Yamabe problem or, more generally, the problem of prescribed scalar curvature. Given a smooth positive function K defined on a compact Riemannian manifold (M, g0) of dimension n ≥ 2, we ask whether there exists a metric g conformal to g0 such that K is the scalar curvature of the new metric g. Let g = eg0 for n = 2 or g = u 4 n−2 g0 for n ≥ 3, then the problem is reduced to find solutions of the following nonlinear elliptic equations:

Classification of solutions of higher order conformally invariant equations

On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems

Multiple interior peak solutions for some singularly perturbed neumann problems

A celebrated conjecture due to De Giorgi states that any bounded solution of the equation u + (1 u 2 )u = 0 in R N with @yNu > 0 must be such that its level setsfu = g are all hyperplanes, at least for dimension N 8. A counterexample for N 9 has long been believed to exist. Starting from a minimal graph which is not a hyperplane, found by Bombieri, De Giorgi and Giusti in R N , N 9, we prove that for any small > 0 there is a bounded solution u (y) with @yN u > 0, which resembles tanh A t p 2 a , where t = t(y) denotes a choice of signed distance to the blown-up minimal graph := 1 . This solution is a counterexample to De Giorgi’s conjecture for N 9.

http://annals.math.princeton.edu/wp-content/uploads/annals-v174-n3-p03-s.pdf

Juncheng Wei

Papers

Ground State of N Coupled Nonlinear Schrodinger Equations in {\mathbb{R}}^n, n \leq 3

Classification of solutions of higher order conformally invariant equations

On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems

Multiple interior peak solutions for some singularly perturbed neumann problems

On De Giorgi's conjecture in dimension N>9