Trends and Applications of Pure Mathematics to Mechanics

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 / [electronic resource] : edited by Philippe G. Ciarlet, Maurice Roseau. - V, 422 p. 27 illus. online resource. - Lecture Notes in Physics, 195 0075-8450 ; . - Lecture Notes in Physics, 195 .

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.

9783540388005

10.1007/3-540-12916-2 doi


Quantum theory.
Mechanics.
Global analysis (Mathematics).
Systems theory.
Mathematical optimization.
Quantum Physics.
Classical Mechanics.
Analysis.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Quantum Information Technology, Spintronics.

QC173.96-174.52

530.12
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