论文信息 - Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics

Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics

The aim of this paper is to show how energy methods can be used to establish local (in time) existence of smooth solutions to certain initial-boundary value problems for systems of quasilinear hyperbolic partial differential equations. Our particular objective is to treat the equations of nonlinear elastodynamics.

Constantine M. Dafermos | C. Dafermos | W. Hrusa | William J. Hrusa

[1] Jerrold E. Marsden,et al. Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity , 1977 .

[2] Tosio Kato,et al. Quasi-linear equations of evolution, with applications to partial differential equations , 1975 .

[3] M. Gurtin,et al. An introduction to continuum mechanics , 1981 .

[4] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .

[5] Walter A. Strauss,et al. On continuity of functions with values in various Banach spaces , 1966 .

[6] R. Courant,et al. Methods of Mathematical Physics , 1962 .

[7] C. B. Morrey. Multiple Integrals in the Calculus of Variations , 1966 .