๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Continuous dependence on the time and spatial geometry for the equations of thermoelasticity

โœ Scribed by J. C. Song; L. E. Payne

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
426 KB
Volume
11
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we establish the stability of the solution of the standard initial-boundary value problem of linear anisotropic thermoelasticity under perturbations of the initial time geometry and of the spatial geometry. This is done by deriving appropriate explicit a priori inequalities which permit us to bound in particular the L, integral of the perturbation in terms of some well defined measure of the perturbation in the geometry.

๐Ÿ“œ SIMILAR VOLUMES

Continuous dependence on spatial geometr
Continuous dependence on spatial geometry for the generalized Maxwellโ€“Cattaneo system
โœ Changhao Lin; L. E. Payne ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 112 KB

## Abstract In this paper the authors establish continuous dependence of the temperature on the spatial geometry in an initialโ€boundary value problem for the generalized Maxwellโ€“Cattaneo system of equations. Copyright ยฉ 2001 John Wiley & Sons, Ltd.

Continuous Dependence on Initial-Time an
Continuous Dependence on Initial-Time and Spatial Geometry in Generalized Heat Conduction
โœ L.E. Payne; J.C. Song ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this paper we consider two different initial-boundary value problems in generalized heat conduction. We first establish continuous dependence on the initial-time geometry in an exterior region for solutions of one well studied model system. We then derive inequalities which imply continuous depen

Continuous dependence on the geometry an
Continuous dependence on the geometry and on the initial time for a class of parabolic problems II
โœ G. A. Philippin; V. Proytcheva ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 139 KB ๐Ÿ‘ 1 views

## Abstract Extending the investigations initiated in an earlier paper, the authors deal in this paper with the solutions of another class of initialโ€boundary value problems for which continuous dependence inequalities on the geometry and the initial time are established. Copyright ยฉ 2007 John Wile

Continuous dependence on the geometry an
Continuous dependence on the geometry and on the initial time for a class of parabolic problems I
โœ L. E. Payne; G. A. Philippin; V. Proytcheva ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 140 KB ๐Ÿ‘ 1 views

## Abstract In this paper, we investigate the continuous dependence on the geometry and the initial time for solutions __u__(**x**, __t__) of a class of nonlinear parabolic initialโ€boundary value problems. Copyright ยฉ 2007 John Wiley & Sons, Ltd.

Continuous Dependence on the Nonlinearit
Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations
โœ B Cockburn; G Gripenberg ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.