摘要:

An analytical solution is obtained for the local flow field near a point of steady attachment to or detachment from a rigid boundary. The possible free surface shapes depend on the capillary number.

ISSN:0022-2526    

DOI:10.1002/sapm198063293

年代:1980

数据来源: WILEY

摘要:

A class of nonlinear boundary‐value problems containing a parameter is studied analytically and numerically. It is shown that under certain circumstances there are two families of solutions when the parameter tends to zero; one family comprises small solutions and is obtained by regular perturbations, while the other family comprises finite solutions incorporating boundary and interior layers. It is shown by numerical integration that the two families are smooth continuations of each other when the parameter passes through finite value

ISSN:0022-2526    

DOI:10.1002/sapm198063299

年代:1980

数据来源: WILEY

摘要:

Consider the boundary value problemεy″=(y2−t2)y′, −1 ⩽t⩽0,y(−1) =A,y(0) =B. We discuss the multiplicity of solutions and their limiting behavior asε→+0+ for certain choices ofAandB. In particular, whenA= 1,B= 0, a bifurcation analysis gives a detailed and fairly complete analysis. The interest here arises from the complexity of the set of

ISSN:0022-2526    

DOI:10.1002/sapm1980632119

年代:1980

数据来源: WILEY

摘要:

This note treats the evolution of waves on hyperelastic materials, due to initial jump discontinuities in the gradient of strain. In general, these discontinuities become unbounded in finite time, leading to discontinuous strain. There are, however, certain cases in which the gradient jump remains finite for all times. We show here that the class of materials admitting such exceptional waves is fairly large, including Hadamard materials and generalized Hooke materials. An earlier example of Jeffrey and Teymur [6] is also discussed and reset in a more general framework.

ISSN:0022-2526    

DOI:10.1002/sapm1980632147

年代:1980

数据来源: WILEY

摘要:

We classify the two‐variable hypergeometric functions that arise as eigenfunctions of the Laplace‐Beltrami operator onS2and characterize these functions in terms of elements in the enveloping algebra of so(3). This operator characterization is used to derive transformation and reduction formulas for the functi

ISSN:0022-2526    

DOI:10.1002/sapm1980632155

年代:1980

数据来源: WILEY

摘要:

A dissection of an animal is a partition of its cells into blocks that are themselves animals. Then‐rule allows only those dissections with the area of every block a multiple ofn. If an animal with area divisible bynhas no dissection allowed by then‐rule, then the animal is said to be ann‐irreducible. The partition meet of all allowed dissections of a given animal is called then‐dissection residue of that animal. This paper considers only planar animals. All 2‐irreducibles are found, and the problem of computing 2‐dissection residues is solved. Two theorems onn‐irreducibles are proved. One of them states that largen‐irreducibles always arise by adding cells to smalle

ISSN:0022-2526    

DOI:10.1002/sapm1980632169

年代:1980

数据来源: WILEY