ISSN:0025-5793    

DOI:10.1112/S0025579300007956

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300007968

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S002557930000797X

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

摘要:

SummaryRecent work on the mechanics of interacting continua has led to the formulation of linearized theories governing thermo‐mechanical disturbances of small amplitude in mixtures of an elastic solid and a viscous fluid and of two elastic solids. These theories are well posed in the crude sense that the number of field and constitutive equations equals the number of field quantities to be determined, but the proper posing of initial and initial‐boundary‐value problems has not been studied. In this paper we prove, for both types of mixtures, the uniqueness of sufficiently smooth solutions of the field and constitutive equations subject to initial and boundary data which include conditions of direct physical significance. Sufficient conditions for uniqueness are given in the form of inequalities on the material constants appearing in the constitutive equations. These restrictions fall into two categories, one arising from the application of the entropy‐production inequality, and therefore intrinsic to the theory, and the other representing constraints on the Helmholtz free energy of the mixture. Our results include as special cases uniqueness theorems for unsteady linearized compressible flow of a heat‐conducting viscous fluid and for the linear theory of thermoelasticity.

ISSN:0025-5793    

DOI:10.1112/S0025579300007981

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300007993

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300008007

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300008019

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300008020

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

摘要:

SummaryThe velocity potential near the boundary of the disturbance is determined for steady supersonic flow past a simple body‐and‐wing model. It is found that the disturbance decays exponentially as it spreads round the body; the alteration caused by changing the radius of curvature is discussed. A universal formula for the potential away from the fuselage is also derived.

ISSN:0025-5793    

DOI:10.1112/S0025579300008032

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300008044

出版商:London Mathematical Society    

年代:1967

数据来源: WILEY