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

인공고관절의 세라믹 볼 헤드의 기계적 안정성 평가를 위한 3 차원 유한요소 해석

Preliminaries.- Model Elliptic Problems.- Model Parabolic Problems.- Systems.- Equations with Gradient Terms.- Nonlocal Problems.

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

Special Functions and Their Applications. By N. N. Lebedev, translated by R. A. Silverman. Pp. xii, 308. 96s. 1965. (Prentice-Hall)

The theory of pseudo differential operators, discussed in § 1, is well suited for investigating various problems connected with elliptic differential equations. However, this theory fails to be adequate for studying equations of hyperbolic type, and one is then forced to examine a wider class of operators, the so-called Fourier integral operators (Egorov [1975], Hormander [1968, 1971, 1983, 1985], Kumano-go [1982], Shubin [1978], Taylor [1981], Treves [1980]).

Fourier Integral Operators

Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

On etudie le Laplacien de Hogde agissant sur des k-formes differentielles pour une classe de varietes de Riemann completes a courbure sectionnelle negative proche de l'infini. Ces varietes ont des compactifications C ∞ sur lesquelles la metrique est conforme a une metrique lisse jusqu'au bord avec un facteur conforme ρ −2 , ρ une fonction definissante pour le bord

/pdf/the-hodge-cohomology-of-a-conformally-compact-metric-2npze0wpbf.pdf

The Hodge cohomology of a conformally compact metric

This article considers the existence and regularity of Kahler{Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 along a smooth divisor D. We prove existence of such metrics with negative, zero and some positive cases for all cone angles 2 2 . The results in the positive case parallel those in the smooth case. We also establish that solutions of this problem are polyhomogeneous, i.e., have a complete asymptotic expansion with smooth coecients along D for all 2 < 2 .

Kahler-Einstein metrics with edge singularities

We consider the asymptotic behaviour of positive solutions u of the conformal scalar curvature equation, \(\), in the neighbourhood of isolated singularities in the standard Euclidean ball. Although asymptotic radial symmetry for such solutions was proved some time ago, [2], we present a much simpler and more geometric derivation of this fact. We also discuss a refinement, showing that any such solution is asymptotic to one of the deformed radial singular solutions. Finally we give some applications of these refined asymptotics, first to computing the global Pohožaev invariants of solutions on the sphere with isolated singularities, and then to the regularity of the moduli space of all such solutions.

/pdf/refined-asymptotics-for-constant-scalar-curvature-metrics-2k1q2sgpp7.pdf

Refined asymptotics for constant scalar curvature metrics with isolated singularities

Let X be a compact manifold with boundary. Suppose that the boundary is fibred, : @X! Y, and let x2C 1 (X) be a boundary defining function. This data fixes the space of 'fibred cusp' vector fields, consisting of those vector fields V on X satisfying V x = O(x 2 ) and which are tangent to the fibres of ; it is a Lie algebra and C 1 (X) module. This Lie algebra is quantized to the 'small calculus' of pseudodierential operators (X). Mapping properties including boundedness, regularity, Fredholm condition and symbolic maps are discussed for this calculus. The spectrum of the Laplacian of an exact fibred cusp' metric is analyzed as is the wavefront set associated to the calculus.

/pdf/pseudodifferential-operators-on-manifolds-with-fibred-1dqxujy868.pdf

Rafe Mazzeo

Papers

Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

The Hodge cohomology of a conformally compact metric

Kahler-Einstein metrics with edge singularities

Refined asymptotics for constant scalar curvature metrics with isolated singularities

Pseudodifferential operators on manifolds with fibred boundaries