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

Häftad, Engelska, 1984

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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 Schrödinger 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.