1. |
Completeness and Independence of the Exponential Solutions of Some Functional Differential Equations |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 1-15
Norman Levinson,
Clement McCalla,
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ISSN:0022-2526
DOI:10.1002/sapm19745311
年代:1974
数据来源: WILEY
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2. |
Model Equations for Turbulent Shear Flow |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 17-34
P. G. Saffman,
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摘要:
A set of model equations for the calculation of turbulent shear flows is presented. It is shown how the equations can be modified to allow for the inclusion of viscosity, compressibility and density variations. Some results of numerical computations are given. The constant in the law of the wall is predicted to within 10% for flow over a perfectly smooth wall, and a dependence on wall roughness is obtained. The empirical law of the wall for compressible flow is also shown to be a consequence of the equations.
ISSN:0022-2526
DOI:10.1002/sapm197453117
年代:1974
数据来源: WILEY
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3. |
On α‐dynamos |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 35-43
H. P. Greenspan,
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摘要:
The function α that describes the generation of large scale magnetic fields from small scale motions is assumed to be non‐zero only in a thin boundary layer. As a consequence, the problems for the poloidal and meridional fields in a symmetric rotating configuration decouple and may be solved sequentially. Analysis of the boundary layer yields equivalent boundary conditions on interior and exterior field components. The general eigenvalue problem is formulated but only the case of neutral stability is examin
ISSN:0022-2526
DOI:10.1002/sapm197453135
年代:1974
数据来源: WILEY
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4. |
Conservation Laws for the Fully Nonlinear Long Wave Equations |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 45-56
Robert M. Miura,
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摘要:
The fully nonlinear long wave equations describe the motion over a flat bottom of a two‐dimensional inviscid fluid with a free surface in a gravitational field in the long wave approximation. These equations are shown to possess an infinite number of conservation laws (in two space dimensions) in the formThe conserved densitiesTand the fluxes−Xand−Yare polynomials in the heighthand the horizontal and vertical components of velocity,uandv, and also in integrals of powers ofu. The method of proof is a modification of the method recently devised by D. J. Benney to prove that these same equations possess an infinite number of conservation laws (in one space dimension) in the formwhereTandXare polynomials in the heighthand integrals of powers ofu. Conservation laws which explicitly containxandtare also
ISSN:0022-2526
DOI:10.1002/sapm197453145
年代:1974
数据来源: WILEY
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5. |
Complementary Trees and Independent Matchings |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 57-64
Curtis Greene,
Daniel J. Kleitman,
T. L. Magnantit,
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ISSN:0022-2526
DOI:10.1002/sapm197453157
年代:1974
数据来源: WILEY
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6. |
Equilibrium Arrival Rates at a Partially‐Obstructed Intersection |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 65-71
Steven J. Hellinger,
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摘要:
A lane of traffic approaches an intersection where a traffic signal mediates between two possibilities: continued travel on that lane, or a turn onto a one‐way street. Movement stops temporarily whenever a vehicle arrives at the intersection during a period permitting the alternative that is not the driver's intention. A simple model is presented which mathematically verifies the intuition that this type of signal cannot allow traffic to move efficiently during the rush‐h
ISSN:0022-2526
DOI:10.1002/sapm197453165
年代:1974
数据来源: WILEY
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7. |
Lateral Bending and Twisting of Thin‐Walled Curved Tubes |
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Studies in Applied Mathematics,
Volume 53,
Issue 1,
1974,
Page 73-89
W. J. Seaman,
F. Y. M. Wan,
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PDF (1650KB)
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ISSN:0022-2526
DOI:10.1002/sapm197453173
年代:1974
数据来源: WILEY
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