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| 1. |
Hysteresis, Period Doubling, and Intermittency at High Prandtl Number in the Lorenz Equations |
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Studies in Applied Mathematics,
Volume 69,
Issue 2,
1983,
Page 99-126
A. C. Fowler,
M. J. McGuinness,
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摘要:
We analyse a recently derived difference equation for the Lorenz equations, and thereby predict previously observed phenomena of period doubling and intermittent transitions. We also predict a hysteretic effect in such transitions, and give quantitative approximations to the bifurcation curves in (r, σ) parameter space. These are in agreement with the results of direct numerical simulation
ISSN:0022-2526
DOI:10.1002/sapm198369299
年代:1983
数据来源: WILEY
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| 2. |
The Evolution of Finite Amplitude Solitary Rossby Waves on a Weak Shear |
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Studies in Applied Mathematics,
Volume 69,
Issue 2,
1983,
Page 127-133
T. Warn,
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摘要:
The evolution equationis derived for finite amplitude, long Rossby waves on a weak shear generalizing an earlier version given by Benney [1].
ISSN:0022-2526
DOI:10.1002/sapm1983692127
年代:1983
数据来源: WILEY
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| 3. |
On the Inverse Scattering Transform for the Kadomtsev‐Petviashvili Equation |
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Studies in Applied Mathematics,
Volume 69,
Issue 2,
1983,
Page 135-143
M. J. Ablowitz,
D. Bar Yaacov,
A. S. Fokas,
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摘要:
The initial value problem of the Kadomtsev‐Petviashvili equation for one choice of sign in the equation has been recently investigated in the literature. Here we consider the other choice of sign. We introduce suitable eigenfunctions which though bounded are not analytic in the spectral parameter. This, in contrast to the known case, prevents us from formulating the inverse problem as a nonlocal Riemann‐Hilbert boundary value problem. Nevertheless a suitable formulation is given and a formal solution is constructed via a linear integral equat
ISSN:0022-2526
DOI:10.1002/sapm1983692135
年代:1983
数据来源: WILEY
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| 4. |
On Two‐Phase Flow in a Rotating Boundary Layer |
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Studies in Applied Mathematics,
Volume 69,
Issue 2,
1983,
Page 145-175
M. Ungarish,
H. P. Greenspan,
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摘要:
The two‐phase flow induced by a rotating disk in a stationary unbounded mixture is considered. The generalized similarity assumption of von Karman reduces the averaged equations of motion with a linear drag between the phases to a system of ordinary differential equations. These are investigated by asymptotic and numerical techniques. The equations display a nontrivial behavior in a sublayer near the boundary, whose thickness is of the order of the particle size. The volume fraction of the dispersed phase is singular unless a small suction is applied on the disk or a small diffusion term is added to the continuity equations. Outside this sublayer, the velocity field is quite similar to a rescaled classical von Karman flow. Good agreement between asymptotic and numerical solution is obtained, although there is considerable stiffness in the equations. The motion of a solid particle in a von Karman flow is also discussed, but the present investigation is restricted to small radii because the shear‐lift force is neglec
ISSN:0022-2526
DOI:10.1002/sapm1983692145
年代:1983
数据来源: WILEY
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