Ebook: 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

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Content:
Front Matter....Pages -
Minimizers and the edler-lagrange equations....Pages 1-4
Geometrical methods in some bifurcation problems of elasticity....Pages 5-19
Conservation laws without convexity....Pages 20-24
Conservation laws and compensated compactness....Pages 25-34
Homogeneisation materiaux composites....Pages 35-62
Existence problems of the non-linear Boltzmann equation....Pages 63-95
Numerical simulation for some applied problems originating from continuum mechanics....Pages 96-145
Linear problems associated to the theory of elastic continua with finite deformations....Pages 146-158
One-dimensional structured phase transitions on finite intervals....Pages 159-164
Global existence and asymptotics in one-dimensional nonlinear viscoelasticity....Pages 165-187
Discrete velocity models and the Boltzmann equation....Pages 188-193
Formation of singularities in elastic waves....Pages 194-210
Solitary waves under external forcing....Pages 211-234
Sur Les Solutions De L'equation De Schr?dinger Atomique Et Le Cas Particulier De Deux Electrons....Pages 235-247
On homogenization problems....Pages 248-272
Hamiltonian and non-Hamiltonian models for water waves....Pages 273-290
On a class of live traction problems in elasticity....Pages 291-304
Some viscous-dominated flows....Pages 305-332
Initial value problems for viscoelastic liquids....Pages 333-345
Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses....Pages 346-368
Stress tensors, Riemannian metrics and the alternative descriptions in elasticity....Pages 369-383
Etude des oscilaltions dans les equations aux derivees partielles non lineaires....Pages 384-412
Invariant manifolds and periodic solutions of three degrees of freedom Hamiltonian systems....Pages 413-422

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Content:
Front Matter....Pages -
Minimizers and the edler-lagrange equations....Pages 1-4
Geometrical methods in some bifurcation problems of elasticity....Pages 5-19
Conservation laws without convexity....Pages 20-24
Conservation laws and compensated compactness....Pages 25-34
Homogeneisation materiaux composites....Pages 35-62
Existence problems of the non-linear Boltzmann equation....Pages 63-95
Numerical simulation for some applied problems originating from continuum mechanics....Pages 96-145
Linear problems associated to the theory of elastic continua with finite deformations....Pages 146-158
One-dimensional structured phase transitions on finite intervals....Pages 159-164
Global existence and asymptotics in one-dimensional nonlinear viscoelasticity....Pages 165-187
Discrete velocity models and the Boltzmann equation....Pages 188-193
Formation of singularities in elastic waves....Pages 194-210
Solitary waves under external forcing....Pages 211-234
Sur Les Solutions De L'equation De Schr?dinger Atomique Et Le Cas Particulier De Deux Electrons....Pages 235-247
On homogenization problems....Pages 248-272
Hamiltonian and non-Hamiltonian models for water waves....Pages 273-290
On a class of live traction problems in elasticity....Pages 291-304
Some viscous-dominated flows....Pages 305-332
Initial value problems for viscoelastic liquids....Pages 333-345
Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses....Pages 346-368
Stress tensors, Riemannian metrics and the alternative descriptions in elasticity....Pages 369-383
Etude des oscilaltions dans les equations aux derivees partielles non lineaires....Pages 384-412
Invariant manifolds and periodic solutions of three degrees of freedom Hamiltonian systems....Pages 413-422
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