Trends and applications of pure mathematics to mechanics : invited and contributed papers presented at a symposium at Ecole Polytechnique, Palaiseau, France, November 28-December 2, 1983

書誌事項

Trends and applications of pure mathematics to mechanics : invited and contributed papers presented at a symposium at Ecole Polytechnique, Palaiseau, France, November 28-December 2, 1983

edited by P.G. Ciarlet and M. Roseau

(Lecture notes in physics, 195)

Springer-Verlag, 1984

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注記

"Fifth Symposium on Trends in Application of Pure Mathematics to Mechanics was held November 28-December 2, 1983, at l'Ecole Polytechnique, Palaiseau, under the auspices of the International Society for the Interaction of Mechanics and Mathematics"--Pref

English or French

Includes bibliographies

内容説明・目次

目次

Minimizers and the edler-lagrange equations.- Geometrical methods in some bifurcation problems of elasticity.- Conservation laws without convexity.- Conservation laws and compensated compactness.- Homogeneisation materiaux composites.- Existence problems of the non-linear Boltzmann equation.- Numerical simulation for some applied problems originating from continuum mechanics.- Linear problems associated to the theory of elastic continua with finite deformations.- One-dimensional structured phase transitions on finite intervals.- Global existence and asymptotics in one-dimensional nonlinear viscoelasticity.- Discrete velocity models and the Boltzmann equation.- Formation of singularities in elastic waves.- Solitary waves under external forcing.- Sur Les Solutions De L'equation De Schroedinger Atomique Et Le Cas Particulier De Deux Electrons.- On homogenization problems.- Hamiltonian and non-Hamiltonian models for water waves.- On a class of live traction problems in elasticity.- Some viscous-dominated flows.- Initial value problems for viscoelastic liquids.- Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses.- Stress tensors, Riemannian metrics and the alternative descriptions in elasticity.- Etude des oscilaltions dans les equations aux derivees partielles non lineaires.- Invariant manifolds and periodic solutions of three degrees of freedom Hamiltonian systems.

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