1. |
On the Foundations of Combinatorial Theory II. Combinatorial Geometries |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 109-133
Henry H. Crapo,
Gian‐Carlo Rota,
Preview
|
PDF (1372KB)
|
|
ISSN:0022-2526
DOI:10.1002/sapm1970492109
年代:1970
数据来源: WILEY
|
2. |
Some Networks that can Learn, Remember, and Reproduce any Number of Complicated Space‐time |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 135-166
Stephen Grossberg,
Preview
|
PDF (1292KB)
|
|
ISSN:0022-2526
DOI:10.1002/sapm1970492135
年代:1970
数据来源: WILEY
|
3. |
Instability of a Vortex Sheet Leaving a Semi‐Infinite Plate |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 167-181
S. A. Orszag,
S. C. Crow,
Preview
|
PDF (726KB)
|
|
摘要:
The growth of undulations along an infinite vortex sheet is a classical problem of stability theory. Here we modify that problem by including the effects of a boundary: the vortex sheet is assumed to leave a rigid semi‐infinite plate and to undergo spatially growing undulations downstream. The usual solution for a doubly infinite sheet is corrected by the Wiener‐Hopf technique to account for the presence of the plate. The correction depends sensitively on whether a Kutta condition is enforced at the trailing edge. Two Kutta conditions, called rectified and full, are suggested to apply depending on conditions in the unperturbed flow. In either case, the correction due to the plate becomes negligible half a wavelength downstream from the trailing e
ISSN:0022-2526
DOI:10.1002/sapm1970492167
年代:1970
数据来源: WILEY
|
4. |
An Aging Spring |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 183-185
Hung Cheng,
Tai Tsun Wu,
Preview
|
PDF (246KB)
|
|
ISSN:0022-2526
DOI:10.1002/sapm1970492183
年代:1970
数据来源: WILEY
|
5. |
An Experimental Study of Inertial Waves in a Closed Cone |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 187-196
R. C. Beardsley,
Preview
|
PDF (722KB)
|
|
摘要:
An experimental study of inertial waves in a closed cone is presented in which the inertial waves are excited by a slight periodic oscillation superimposed on the cone's basic rotation rate. The dynamic pressure field is measured along the cone's rotation axis; no standing modal structure is observed, confirming Greenspan's (1969) argument that the closed cone appears open to inertial oscillations and the inertial wave spectrum is continuous. Similar pressure measurements made in the frustum of a right circular cone show that removal of the singular apex of the cone leads to standing wave modes.
ISSN:0022-2526
DOI:10.1002/sapm1970492187
年代:1970
数据来源: WILEY
|
6. |
Some Inviscid “Cat's Eye” Flows |
|
Studies in Applied Mathematics,
Volume 49,
Issue 2,
1970,
Page 197-203
R. F. Bergeron,
Preview
|
PDF (345KB)
|
|
摘要:
Some inviscid flows with the combined shear and periodic disturbance characteristic of the Kelvin “eat's eye” pattern are presented. The solutions have constant vorticity in each region of closed streamlines, with discontinuities in vorticity (but not velocity) allowed across boundar
ISSN:0022-2526
DOI:10.1002/sapm1970492197
年代:1970
数据来源: WILEY
|