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11. |
A note on Thue's theorem |
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Mathematika,
Volume 15,
Issue 1,
1968,
Page 76-87
H. Davenport,
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ISSN:0025-5793
DOI:10.1112/S0025579300002412
出版商:London Mathematical Society
年代:1968
数据来源: WILEY
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12. |
Double packing of spheres: a new upper bound |
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Mathematika,
Volume 15,
Issue 1,
1968,
Page 88-92
L. Few,
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PDF (193KB)
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ISSN:0025-5793
DOI:10.1112/S0025579300002424
出版商:London Mathematical Society
年代:1968
数据来源: WILEY
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13. |
Axi‐symmetric inertial oscillations of a rotating ring of fluid |
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Mathematika,
Volume 15,
Issue 1,
1968,
Page 93-102
Victor Barcilon,
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摘要:
AbstractThe Poincaré problem for the normal modes of oscillations of an inviscid, incompressible fluid contained in an infinitely long cylinder rotating about a direction perpendicular to its axis is investigated.
ISSN:0025-5793
DOI:10.1112/S0025579300002436
出版商:London Mathematical Society
年代:1968
数据来源: WILEY
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14. |
On a two‐dimensional exterior Stokes flow with mixed boundary conditions |
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Mathematika,
Volume 15,
Issue 1,
1968,
Page 103-114
N. S. Clarke,
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摘要:
SummaryWhen the motion of a viscous fluid around a gas bubble is discussed, it is frequently assumed, especially for flows at low Reynolds numbers, that the bubble takes on a spherical shape in three dimensions or a circular cross‐section in a two‐dimensional flow. If this assumption is made, arid the gas within the bubble is assumed to have negligible density and viscosity, then the problem of finding the exterior flow is mathematically overdetermined and it is not obvious that a solution to the problem exists. Moreover, if such a solution does exist, then the over‐determination of the system should, in general, give rise to relationships between the flow parameters, that is, certain conditions must be satisfied to ensure the existence of a solution. It is the purpose of this paper to derive these conditions in the case of a two‐dimensional Stokes flow. The problem is generalised to the extent that part of the circular boundary is taken to be rigid, on which the no‐slip condition is to be satisfied and part is to be a free streamline, on which stress conditions are to be satisfied. The conditions for the existence of a solution to this problem are derived and the solution is found in closed form. The method of solution is that of reducing the problem to one of a mixed boundary‐value problem in analytic function theory. The classical solutions for the Stokes flow around a circular bubble and around a rigid circle are then easily derived as limiting cases.
ISSN:0025-5793
DOI:10.1112/S0025579300002448
出版商:London Mathematical Society
年代:1968
数据来源: WILEY
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15. |
On acyclic simplicial complexes |
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Mathematika,
Volume 15,
Issue 1,
1968,
Page 115-122
Frank Harary,
Edgar M. Palmer,
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PDF (398KB)
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ISSN:0025-5793
DOI:10.1112/S002557930000245X
出版商:London Mathematical Society
年代:1968
数据来源: WILEY
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