107,087 research outputs found
Review Of The Architecture Of Yoshio Taniguchi By Y. Taniguchi
This is an exceptionally beautiful book worthy of its author and subject, Japanese architect Yoshio Taniguchi, recently selected to design the renovation and expansion of the Museum of Modern Art in New York, his first major work abroad. Architecture, addressing the visitor, may be loquacious, or else declamatory, or even histrionically assertive. Taniguchi\u27s architecture is singularly courteous; it speaks softly, surely, and sensitively. Trained in engineering in Tokyo and subsequently in architecture at Harvard, he puts structural sophistication to the service of his poetry of shifting spaces and subtle lighting that is distinctly Japanese. In visual experience, going through his building resembles a stroll in a Japanese garden; but he accomplishes this without undermining functional logic. The book presents his 17 works, two from the 1970s, five from the 1980s, and ten from this decade, each exquisitely illustrated and accompanied by the architect\u27s succinct but informative commentary. Seven of them are art museums, and the MOMA project is showcased with analytical notes and plans. Fumihiko Maki, the architect\u27s senior, contributed a thoughtful critical essay that articulates with precision the sources of Taniguchi\u27s architectural aesthetics. In this modest autobiography, Taniguchi reflects on his career as a learning process. Recommended for all libraries. General readers; undergraduates through professionals
Fundamental Study of the Fill-in Minimization Problem
In this paper the fill-in minimization problem which arises
at the application of the sparse matrix method for a large sparse set of linear equations is discussed from the graph-theoretic viewpoint and also through the numerical experiments. Therefore, this investigation consists of two parts, and in the former part the author shows, at first, that the elimination process of a sparse matrix is equivalently replaced to the vertex eliminations for a graph obtained from the matrix, and by use of some concepts
in the theory of graph he proves that the vertex elimination process for the minimum fill-in is equivalent to the vertex eliminations for vertices in each subgraph which is obtained by the appropriate dissection of whole graph, and that there are only two types of vertex eliminations through the process. This results in the proposal of a new model of the vertex elimination process. The latter part of this investigation is used for the verification of the results from the theoretic investigation. Through the numerical experiments he concludes that the new model of the vertex elimination process is valid, at least, for a graph like a regular finite element mesh. Furthermore, he shows that this model coincides with Nested Dissection Method which can give the minimum value of fill-in, at present
The existence and uniqueness of energy solutions to local non-Lipschitz stochastic evolution equations
AbstractLet H,V and K be separable Hilbert spaces. In this paper we consider the existence and uniqueness of energy solutions to the following stochastic evolution equation:{dX(t)=[A(t,X(t))+f(t,X(t))]dt+g(t,X(t))dW(t),t∈[0,T],X(0)=X0∈H, where A(t,⋅):V→V* is a linear bounded operator with coercivity, monotone condition and hemicontinuity, f:[0,∞)×H→H and g:[0,∞)×H→L20(K,H) are measurable functions and satisfy the local non-Lipschitz condition proposed by the author [T. Taniguchi, Successive approximations to solutions of stochastic differential equations, J. Differential Equations 96 (1992) 152–169]
Effect of the dynamic pressure on the shock wave structure in a rarefied polyatomic gas
We study the shock wave structure in a rarefied polyatomic gas based on a simplified model of extended thermodynamics in which the dissipation is due only to the dynamic pressure. In this case the differential system is very simple because it is a variant of Euler system with a new scalar equation for the dynamic pressure [T. Arima, S. Taniguchi, T. Ruggeri, and M. Sugiyama, Phys. Lett. A 376, 2799–2803 (2012)]. It is shown that this theory is able to describe the three types of the shock wave structure observed in experiments: the nearly symmetric shock wave structure (Type A, small Mach number), the asymmetric structure (Type B, moderate Mach number), and the structure composed of thin and thick layers (Type C, large Mach number)
Characterisation of tunnel barriers in polycrystalline silicon point-contact single-electron transistors
Letter, [Author unclear] to Paulina T. Merritt
Handwritten letter to Paulina Merritt from an unknown author, October 1, 1876.
Non-linear extended thermodynamics of real gases with 6 fields
Received 5 February 2015 Accepted 5 February 2015 Available online 13 February 2015
Keywords:
Extended thermodynamics Non-equilibrium thermodynamics of gases Meixner's theory
Dynamic pressure
1. Introduction
Rational extended thermodynamics [1] (hereafter referred to as ET)1 is a thermodynamic theory that is applicable to non-equilibrium phenomena with steep gradients and rapid changes in space–time, which may be out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations.
As ET has been strictly related to the kinetic theory with the closure method of the hierarchy of moment equations, the applic- ability range of the theory has been restricted within rarefied monatomic gases. Only recently, however, the ET theory of dense gases and of polyatomic rarefied gases has been successfully devel- oped by the present authors obtaining a 14-field theory that, in the limit of small relaxation times (parabolic limit), reduces to the Navier– Stokes–Fourier classical theory [2]. This new approach to the case of polyatomic rarefied gases, in particular, is in perfect agreement with the closure procedure using the Maximum Entropy Principle (MEP) at the kinetic level in which the distribution function depends on an extra variable that takes into account the influence of degrees of freedom of a molecule on energy transfer during collisions [3].
n Corresponding author.
E-mail addresses: [email protected] (T. Arima),
[email protected] (T. Ruggeri), [email protected] (M. Sugiyama), [email protected] (S. Taniguchi).
1 Rational extended thermodynamics is sometimes referred to as RET in order to distinguish it from other approaches in extended thermodynamics. However, in this paper, we use, for simplicity, the acronym ET for indicating rational extended thermodynamics.
http://dx.doi.org/10.1016/j.ijnonlinmec.2015.02.005
0020-7462/& 2015 Elsevier Ltd. All rights reserved.
abstract
We establish extended thermodynamics (ET) of real gases with 6 independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting the near-equilibrium approxima- tion. We prove its compatibility with the universal principles (the entropy principle, the Galilean invariance and the stability), and obtain the symmetric hyperbolic system with respect to the main field. In near- equilibrium we recover the previous results. The correspondence between the ET 6-field theory and Meixner's theory of relaxation processes is discovered. The internal variable and the non-equilibrium temperature in Meixner's theory are expressed in terms of the quantities of the ET 6-field theory, in particular, the dynamic pressure. As an example, we present the cases of a rarefied polyatomic gas and study the monatomic-gas limit where the system converges to the Euler system of a perfect fluid
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