摘要:

AbstractDissipative perturbations of hyperbolic equations such asutt+But+A2u= 0 with positive operatorsA,Bare considered. The rates of decay and partition of energy theorems are established for solutions of these equations.

ISSN:0170-4214    

DOI:10.1002/mma.1670120202

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractIn this paper we are concerned with the three‐dimensional homogeneous isotropic elastostatic boundary‐value problem. Global basis vector fields are shown to be constructive structures for approximating the solution. The theoretical tool is a regularity condition developed from the classical integral equation approach. The paper ends with some reflections on the practical computability and numerical applicabil

ISSN:0170-4214    

DOI:10.1002/mma.1670120203

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractIn the recent paper [13] we have answered the question of stability for the linear circular plate which is being axially compressed by a force greater than the critical value and contacts a plane obstacle. In this case there are radially symmetric solutions and the contact region is a disk of a smaller radius. This simplified the determination of the critical parameter values for which the plane jumps to another state. For the rectangular plate continuation has to be applied to the variational inequality in order to determine the contact region and evalute the stability criterion. A numerical method is developed for a discretization of the problem and is used to compute the critical load both in the simply supported and the clamped case.

ISSN:0170-4214    

DOI:10.1002/mma.1670120204

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractA linear stability condition is dervied for explicit Runge–Kutta methods to solve the compressible Navier–Stokes equations by central second‐order finite‐difference and finite‐volume methods. The equations in non‐conservative form are simplified to quasilinear form, and the eigenvalues of the resulting coefficient matrices are determined for general co‐ordinates. Assuming a well‐posed Cauchy problem with constant coefficients, the von Neumann stability analysis yields sufficient stability conditions for viscous–inviscid operator‐splitting schemes. They have been applied in computational aerodynamics to solve the compressible Navier–Stokes equations by an unsplit explicit Runge–Kut

ISSN:0170-4214    

DOI:10.1002/mma.1670120205

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractThe existence of global solutions to the Cauchy problem for Yang–Mills–Higgs systems in the temporal gauge is examined. The results apply to the self‐coupling of the Higgs field. Results from other works are strengt

ISSN:0170-4214    

DOI:10.1002/mma.1670120206

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractThe paper concerns the properties of global solutions to the Cauchy problem of Yang–Mills–Higgs systems in the temporal gauge. The following properties are considered: global analyticity of solutions, an approximation property, conservation of the topological class of solutions, scattering of a part of the energy of solutions through a light c

ISSN:0170-4214    

DOI:10.1002/mma.1670120207

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractFor certain unbounded domains the Laplace operator with Dirichlet condition is shown to have an unbounded sequence of eigenvalues which are embedded into the essential spectrum. A typical example of such a domain is a locally perturbed cylinder with circular cross‐section whose diameter in some bounded subset is greater than at infinit

ISSN:0170-4214    

DOI:10.1002/mma.1670120208

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

ISSN:0170-4214    

DOI:10.1002/mma.1670120201

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY