Results 231 to 240 of about 31,431 (268)

A Hyperbolic Model of Multiphase Flow

2008
Here t > 0 and x ∈ R; moreover v > 0 is the specific volume, u the velocity, λ the mass density fraction of vapor in the fluid. Then λ ∈ [0, 1], with λ = 0 characterizes the liquid and λ = 1 the vapor phase; intermediate values of λ model mixtures of the two pure phases.
AMADORI, DEBORA, CORLI A.
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HYPERBOLIC MODELS FOR CHEMOSENSITIVE MOVEMENT

Mathematical Models and Methods in Applied Sciences, 2002
Chemosensitive movement describes the active orientation of individuals on chemical signals. In cases of cellular slime molds or flagellated bacteria, chemosensitive movement leads to aggregation and pattern formation. The classical mathematical model to describe chemosensitive movement is the diffusion based Patlak–Keller–Segel model. It suffers from
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The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry

The American Mathematical Monthly, 1999
(1999). The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry. The American Mathematical Monthly: Vol. 106, No. 8, pp. 759-763.
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A hyperbolic model of combustion

1983
Publisher Summary If fluid flow is accompanied by chemical reaction, then very complicated wave motion phenomena occur. It is an interesting problem as to how a mathematical model can be applied to these phenomena, and one may investigate them by the theory of partial differential equations.
Ying Lung-an, Teng Zhen-huan
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Derivation of hyperbolic models for chemosensitive movement

Journal of Mathematical Biology, 2004
A Chapman-Enskog expansion is used to derive hyperbolic models for chemosensitive movements as a hydrodynamic limit of a velocity-jump process. On the one hand, it connects parabolic and hyperbolic chemotaxis models since the former arise as diffusion limits of a similar velocity-jump process.
Filbet, Francis, Laurençot, Philippe, Perthame, Benoît   +2 more
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ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS

Mathematical Models and Methods in Applied Sciences, 2011
We investigate local/global existence, blowup criterion and long-time behavior of classical solutions for a hyperbolic–parabolic system derived from the Keller–Segel model describing chemotaxis. It is shown that local smooth solution blows up if and only if the accumulation of the L∞ norm of the solution reaches infinity within the lifespan.
Li, Dong, Li, Tong, Zhao, Kun
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Arithmetic average options in the hyperbolic model

Monte Carlo Methods and Applications, 2003
Summary: In this paper, we present a strategy for pricing discrete Asian options, i.e. for options whose payoff depends on the average price of the underlying asset where the average is extended over a fixed period up to the maturity date. Following a recent development in Mathematical Finance (cf. \textit{E. Eberlein, U. Keller} and \textit{K. Prause}
Gerhard Larcher, Martin Predota, Robert F. Tichy   +2 more
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Parameter estimation in hyperbolic multichannel models

Asymptotic Analysis, 2010
A multichannel model is considered, with each channel represented by a linear second-order stochastic equation with two unknown coefficients. The channels are interpreted as the Fourier coefficients of the solution of a stochastic hyperbolic equation with possibly unbounded damping.
Wei Liu, Sergey V. Lototsky
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Models for the Hyperbolic Plane

2018
The role of models in geometry is tied to the subject’s historical connection to axiomatics. While The Elements of Euclid is the archetype of an axiomatic system, the real plane, \({\mathbb R}^2\), is the archetype of a model for an axiomatic system, in this case, that of the Euclidean plane.
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Score Tests for Hyperbolic GARCH Models

Journal of Business & Economic Statistics, 2011
Davidson (2004) recently proposed the hyperbolic GARCH model to capture the phenomenon of long-range dependence in volatility, with the extent of such dependence measured by the geometric or hyperbolic decay of the coefficients in an ARCH(∞) model. In this article, we reinterpret the hyperbolic GARCH model by building a link with the common GARCH model,
Li, M, Li, WK, Li, G
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