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  • 1
    Keywords: Earth sciences. ; Evolution (Biology). ; Earth Sciences. ; Evolutionary Biology.
    Description / Table of Contents: 1 Introduction -- 2 Palaeogeographical settings of South China in the Changhsingian to Induan and palaeogeographic distribution of the studied Permian Triassic Boundary sections -- 3 Description of the studied Permian Triassic Boundary sections of South China -- 4 Age analysis and correlation -- 5 Temporal and spatial processes and dynamics of the Permian Triassic Boundary mass extinction (PTBME) in South China.
    Abstract: This book timely provides high-quality records of 32 PTB sections across different depositional settings from terrestrial to marine facies in South China, including descriptions of lithologies, high-resolution correlation of key boundaries and fossil occurrences at each section. This book also analyzes the patterns and processes of the community and ecosystem evolution over space and through time in the lead to the end-Permian mass extinction, and critically analyzes the mostly debated hypothesis, anoxia and volcanism, which were considered as the causes of mass extinction, based on the data from the studied sections of South China, together with materials from other regions of the world.
    Type of Medium: Online Resource
    Pages: XII, 287 p. 98 illus., 66 illus. in color. , online resource.
    Edition: 1st ed. 2023.
    ISBN: 9789819993505
    Series Statement: New Records of the Great Dying in South China,
    DDC: 550
    Language: English
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  • 2
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    Berlin ; Heidelberg : Springer
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 1392-1409 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dynamics of three vortices was studied by Synge using the length of the sides of the triangle formed by three vortices as prime variables. The critical states at which the lengths of the sides remain fixed throughout the motion were found to be either equilateral triangles or collinear configurations. The equilateral configurations were shown to be stable or unstable depending on whether the sum of the products of strengths K was greater or less than zero, respectively. In the case K=0, a one-parameter family of solutions of contracting and another of expanding similar triangles were found. In this paper, it is shown that for this special case, the family of contracting similar solutions is always unstable while the family of expanding ones is stable. The critical states for collinear configurations in the general case are then studied where K is greater than or less than 0. It is shown that there are either six or four critical states depending on the strengths of the vortices. When there are six collinear critical states, three of them are always stable, one is not while the remaining two are unstable (stable) if the equilateral triangle configuration is stable (unstable). When there are only four collinear critical states, they are all stable while the equilateral triangle configuration is always unstable. Since there are two equilateral triangle configurations, clockwise and counterclockwise arrangements of the three vortices, the sum of the indices of all the critical states is equal to +2 regardless of whether K is greater than or less than 0. An integral invariant in trilinear coordinates is derived. When all the critical points and the integral invariant are known, the global behavior of the trajectories is obtained.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 603-618 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Effective equations for nonlinear wave propagation in a bubbly liquid are derived by the method of homogenization for the case where the volume fraction of the gas is finite. The analysis is valid when the ratio of the mean interbubble distance to wavelength is small. The effective equations are coupled with a canonical (cell) problem on the microscopic scale. The dominant mode of oscillation of a bubble is volume preserving and asymmetric with finite amplitude. The cell problem and the averaging in the effective equations can be simplified by the method of matched asymptotics for the case of small volume fraction. The cell problem can be further simplified by using the small gas-to-liquid density ratio. Approximate solutions are then constructed to the cell problem. These are coupled to the effective equations on the macroscopic scale to form a closed system. The solutions of this system are analyzed in the linear and weakly nonlinear regime.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 226-228 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: When a thread or column of liquid breaks, a growing blob of liquid forms on the broken ends of the thread as surface tension pulls the ends back toward the rest of the thread. Asymptotic expansions of the shape of the blob and of the flow in it are constructed. Similar expansions are found for the cylindrical blob at the edge of a broken film or sheet of liquid. These results supplement previous calculations of the mass and velocity of the blob. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1683-1689 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effects of viscosity on wave propagation in a bubbly liquid with a finite gas volume fraction are studied using the effective equations of Miksis and Ting [Phys. Fluids 29, 603 (1986)]. Both the linear and nonlinear versions of their equations are considered. For linear waves an exact solution of the microscopic problem is found. At finite Reynolds number the attenuation caused by viscosity is found. The Crespo wave speed and the Wood wave speed are shown to be the effective sound speed for the two limiting cases of infinite Reynolds number and zero Reynolds number, respectively. In the nonlinear case viscous effects are accounted for by using Levich's method. This new nonlinear system of effective equations including the viscous effects is analyzed.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 2415-2425 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The numerical description of slender vortex motion faces several major obstacles: (i) The stiffness induced by the rapid rotatory motion in the vortex core, where peak velocities are an order of magnitude larger than the filament velocity. In a vorticity-velocity formulation, this stiffness is reflected by the singular behavior of the line-Biot-Savart integral as one approaches the vortex geometry. Regularization occurs physically by viscous smoothing of the vorticity. (ii) The vortex core vorticity distribution has a crucial influence on the vortex filament motion. Thus, an accurate description of the core structure evolution due to vortex stretching and vorticity diffusion is necessary. We propose a numerical scheme that allows an accurate description of the effects of axial flow in the core, viscosity and vortex stretching on slender vortex filament motion. The approach is based on incorporating the detailed asymptotic analyses of the vortex core structure evolution by Callegari and Ting [SIAM J. Appl. Math. 15, 148 (1978)] and Klein and Ting [Appl. Math. Lett. 8, 45 (1995)] for stretched viscous slender vortices into the improved thin-tube vortex element schemes of Klein and Knio (1995). The resulting schemes overcome the difficulties mentioned above except for the issue of temporal stiffness, which we leave for future work. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 41 (1990), S. 395-418 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Die vorliegende Arbeit beschreibt das Geschwindigkeitsfeld fernab einer Wirbelverteilung, welche mit dem Abstandr vom Ursprung eines geeigneten Bezugssystems hinreichend schnell abklingt. Die Geschwindigkeit besitzt ein Vektorpotential, dessen Fernfeldverhalten einer Reihenentwicklung ΣA (n), genügt. Dabei istA (n) proportional zur −n−1 fürn=1, 2, .... Wir entwickeln eine explizite Darstellung vonA (n) als Linearkombination vonM n linear unabhängigen Vektorfunktionen. Die auftretenden Koeffizienten sind ihrerseits Kombinationenn-ter Momente der Wirbelverteilung. Die ZahlM 1 ist gleich 3 und es istM n=4n fürn≥2, während die Gesamtzahl dernten Momente $$\frac{3}{2}(n + 1)(n + 2)$$ beträgt. Weiterhin zeigen wir, da\ nur 2n+1 dieser Vektorfunktionen auch zum drehungsfreien Fernfeld der Geschwindigkeitn-ter Ordnung beitragen können und identifizieren die zugehörigen Kombinationen von Wirbelmomenten. Dieselben Kombinationen liefern dann auch die Koeffizienten in einer Entwicklung desskalaren Fernfeldpotentials nach Kugelfunktionen.
    Notes: Abstract We study the velocity field induced by a vorticity distribution decaying rapidly in the distancer from the origin. In the far field, the vector potential for the velocity field can be represented by a series ΣA (n), withA (n) proportional tor −n−1, forn=1, 2, .... We show thatA (n) can be expressed as a linear combination ofM n linearly independent vector functions. The numberM n is equal to 3 forn=1 and 4n forn≥2 and the coefficient of a vector function is defined by a linear combination of $$\frac{3}{2}(n + 1)(n + 2)$$ nth moments of vorticity. We then show that only 2n+1 linear combinations of thoseM n vector functions contribute to the far field velocity which is irrotational. The corresponding scalar potential Φ (n) is then represented by a linear combination of 2n+1 spherical harmonics ofnth order whose coefficients are again linear combinations ofnth moments of vorticity.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Mobile networks and applications 2 (1997), S. 365-372 
    ISSN: 1572-8153
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract There is a growing trend in developing applications for mobile computing systems in which mobile host computers retain their network connections while in transit. This paper proposes an algorithm that enforces a useful property, namely, causal ordering, that delivers messages among mobile hosts. This property ensures that causally related messages directed to the same destination will be delivered in an order consistent with their causality, which is important in applications that involve human interaction such as mobile e‐mail and mobile teleconferencing. Such applications are envisioned by the proponents of Personal Communications Services (PCS). Without this property, users may receive and read original messages and the corresponding replies out of order. Our algorithm, when compared with previous proposals, provides an alternative with a low handoff cost, medium message overhead, and low probability of unnecessary inhibition in delivering messages.
    Type of Medium: Electronic Resource
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  • 10
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    In:  Bull. Seism. Soc. Am., Tulsa, 450 pp.; 2nd modified and expanded ed., Society of Exploration Geophysics, vol. 95, no. 2, pp. 471-485, pp. B02405, (ISSN: 1340-4202)
    Publication Date: 2005
    Keywords: Seismology ; Earthquake ; Earthquake hazard ; China ; Structural geology ; BSSA
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