摘要:

AbstractNew error bounds are developed for the Liouville‐Green approximation for initial‐value problems governed by a single second‐order linear differential equation. The cases of both exponential‐type and also oscillatory solutions are considered. Previous error bounds are sharpened as a consequence of our development of these new error bounds for initial‐value problems. These new results are applied to an important class of linear differential equations arising in military operations research (specifically, variable‐coefficient Lanchester‐type equations of modern warfare for combat between two homoge

ISSN:0044-2267    

DOI:10.1002/zamm.19780581202

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

摘要:

AbstractIn this paper we present three applications of a polygonal method to the approximate solution of a one dimensional Stefan problem with nonlinear boundary conditions on the fixed face. Our results extend previous approaches which have appeared in literature. In the same time the regularity assumptions on the initial data are relaxed and great simplification is obtained in the proof arguments; moreover error estimates are performed in the general case.

ISSN:0044-2267    

DOI:10.1002/zamm.19780581203

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

摘要:

AbstractThe present paper is concerned with a system of equations describing the stationary interaction of temperature and electrical tension in a 3‐dimensional body in the case that the electrical conductivity depends on the temperature. It is shown that this system is solvable. This is achieved by reduction of the system to an equation with a pseudo‐monotone operator. A short report is given on attempts to determine temperature and tension in an electrode numerica

ISSN:0044-2267    

DOI:10.1002/zamm.19780581204

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

摘要:

AbstractThe purpose of the paper is to consider theoretically first the behavior of two‐dimensional steady laminar boundary layer flow of an incompressible, electrically conducting fluid past a semi‐infinite flat plate in the presence of a transverse magnetic field by using the difference‐differential method. The neutral stability curves for wavelike disturbances of Tollmien‐Schlichting type are then presented for the velocity profiles obtained above in the wide range of magnetic parameter (mx). The results show that the skin friction and the critical Reynolds number decrease with increasing mx, so that the MHD boundary layer becomes less

ISSN:0044-2267    

DOI:10.1002/zamm.19780581205

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

摘要:

AbstractThis paper gives an analysis of the viscous effects on the unsteady lifts acting on three‐dimensional subsonic cascades by means of actuator disk method. Rigorous solutions of linearized Navier‐Stokes equation are firstly given in the up‐and down‐stream regions of the actuator disk and then coupled together using the momentum equations and the equation of continuity. The results approach to the inviscid solutions so far known by letting Re → ∞. It is shown that the effects of the viscosity are remarkable especially near the resonance and at hig

ISSN:0044-2267    

DOI:10.1002/zamm.19780581206

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

摘要:

AbstractProceeding from an equivalent formulation of variation problem for the eigenvalue of plate theory by Kirchhoff and using a theorem by I. Hlaváček/J. Nečas, the existence of a discrete spectrum is proved in case of elimination of free movement of rigid‐body. The plate is investigated for mixed boundary conditions as well as elastic boundary bedding and stretching and bedding in plate region. Mass inertia forces also may e

ISSN:0044-2267    

DOI:10.1002/zamm.19780581207

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19780581210

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19780581214

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19780581217

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19780581220

出版商:WILEY‐VCH Verlag    

年代:1978

数据来源: WILEY