✦ LIBER ✦

Classical elastodynamics as a linear symmetric hyperbolic system

✍ Scribed by Thomas J. R. Hughes; Jerrold E. Marsden

Book ID: 104621063
Publisher: Springer Netherlands
Year: 1978
Tongue: English
Weight: 701 KB
Volume: 8
Category: Article
ISSN: 0374-3535
DOI: 10.1007/bf00044512

No coin nor oath required. For personal study only.

✦ Synopsis

The existence, uniqueness, differentiability and data dependence of solutions of initial-boundary value problems in classical elastodynamics are treated by applying the theory of first-order symmetric hyperbolic systems. Sharp results on the differentiability of solutions are obtained in terms of body force, initial data and boundary conditions. L'existence, l'unicitt, la ditterentiabilit6 et la dtpendence aux donntes de la solution de problemes aux conditions initiales aux limites dans le cas de l'elastodynamique classique est trait6e en utilisant la theorie des systemes symmttrique hyperbolique de premier ordre. Des rtsultats finis sont obtenus pour la differentiabilit6 des solfitions, ces resultats dependent des forces de volume, des donntes initiales et des conditions aux limites.

📜 SIMILAR VOLUMES

Linear symmetric hyperbolic systems with

Linear symmetric hyperbolic systems with characteristic boundary

✍ Paolo Secchi 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 695 KB

## Abstract The author studies the mixed problem for the linear symmetric hyperbolic systems with maximally non‐negative and characteristic boundary condition. Existence of a unique solution is proved inside a suitable class of functions of weighted Sobolev type which takes account of the loss of r

Nonuniqueness for a hyperbolic system: C

Nonuniqueness for a hyperbolic system: Cavitation in nonlinear elastodynamics

✍ K. A. Pericak-Spector; Scott J. Spector 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 1001 KB

Nonzero-sum feedback differential game w

Nonzero-sum feedback differential game with a linear, symmetric, hyperbolic system

✍ L. A. Trybus 📂 Article 📅 1978 🏛 Springer 🌐 English ⚖ 354 KB

Discontinuous Galerkin error estimation

Discontinuous Galerkin error estimation for linear symmetric hyperbolic systems

✍ Slimane Adjerid; Thomas Weinhart 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 669 KB

In this manuscript we present an error analysis for the discontinuous Galerkin discretization error of multi-dimensional first-order linear symmetric hyperbolic systems of partial differential equations. We perform a local error analysis by writing the local error as a series and showing that its le

A Discontinuous Galerkin Method for Line

A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media

✍ Peter Monk; Gerard R. Richter 📂 Article 📅 2005 🏛 Springer US 🌐 English ⚖ 390 KB

Global wellposedness for quasi-linear sy

Global wellposedness for quasi-linear symmetric hyperbolic systems with regularized coefficients

✍ Davide Ascoli 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 723 KB

## Abstract Following the abstract setting of [8] and using the global results of [2], global wellposedness and regularity results are proved for the solutions of quasi‐linear symmetric hyperbolic systems with bounded coefficients which are regularized by a convolution in the space variables with a