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Applications of methods of functional analysis to problems in mechanics : [proceedings] Joint symposium IUTAM/IMU held in Marseille, September 1-6, 1975

Author: Paul Germain; Bernard Nayroles; International Union of Theoretical and Applied Mechanics.; International Mathematical Union.
Publisher: Berlin ; New York : Springer-Verlag, 1976.
Series: Lecture notes in mathematics (Springer-Verlag), 503.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Congrès
Additional Physical Format: Print version:
Joint Symposium IUTAM/IMU on Applications des méthodes d'analyse fonctionnelle aux problèmes de la mécanique (1975 : Marseille).
Applications of methods of functional analysis to problems in mechanics.
Berlin ; New York : Springer-Verlag, 1976
(DLC) 76005454
(OCoLC)2074305
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Paul Germain; Bernard Nayroles; International Union of Theoretical and Applied Mechanics.; International Mathematical Union.
ISBN: 9783540381655 3540381651
OCLC Number: 277135655
Language Note: English and French.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xix, 531 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Inequations quasi-variationnelles dans les problemes a frontiere libre en hydraulique.- The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics.- Asymptotic behaviour of solutions of variational inequalities with highly oscillating coefficients.- Application of convex analysis to the treatment of elastoplastic systems.- Theory of mixed and hybrid finite-element approximations in linear elasticity.- Perturbation of domains in elliptic boundary value problems.- Frost propagation in wet porous media.- Viscous fluid flow in chemically reacting and diffusing systems.- Local invertibility conditions for geometrically exact nonlinear rod and shell theories.- Some applications of functional analysis in the mathematical theory of structures.- Functional analysis applied to the optimisation of a temperature profile.- Global free boundary problems and the calculus of variations in the large.- Proof of existence and uniqueness of tidal waves with general vorticity distributions.- A critical appraisal of certain contemporary ship model testing techniques.- Solitary-wave solutions for some model equations for waves in nonlinear dispersive media.- Hilbertian unilateral problems in viscoelasticity.- On the norm-dependence of the concept of stability.- The hodograph method in fluid-dynamics in the light of variational inequalities.- A new formulation of diphasic incompressible flows in porous media.- Convergence of solutions in problems of elastic plastic torsion of cylindrical bars.- On an evolution problem in linear acoustics of viscous fluids.- On the mechanics of materials with fading memory.- Contraction semigroups and trend to equilibrium in continuum mechanics.- The buckling of a thin elastic plate subjected to unilateral conditions.- Problemes de contact entre corps solides deformables.- On the existence and uniqueness of a warpening function in the Elastic-plastic torsion of a cylindrical bar with multiply connected cross-section.- A method for computing the eigenfrequencies of an acoustic resonator.- Secondary bifurcation of a steady solution into an invariant torus for evolution problems of Navier-Stokes' type.- A basic open problem in the theory of elastic stability.- Some applications and methods of nonlinear functional analysis in finite displacement plate theory.- Criteres de validite de la theorie non-lineaire des coques elastiques.- Functional analysis approach for the derivation of hybrid variational functionals.- Stability of equilibrium in elastic-plastic solids.- Solutions in the large for certain nonlinear hyperbolic systems arising in shock-wave theory.- Cauchy problem in a scale of banach spaces and its application to the shallow water theory justification.- Perturbation results and their applications to problems in structural dynamics.- On the physical interpretation of certain inner products as a guide to the application of functional analysis.- Branching and stability for nonlinear shells.- On a free surface problem.- Theoretical constructions of selection of actual events from the virtual ones.- Steadily rotating chains.- Generating functionals and extremum principles in nonlinear elasticity with applications to nonlinear plate and shallow shell theory.- Determination de la configuration d'equilibre d'un plasma.- Elatic-plastic torsion of cylindrical pipes.
Series Title: Lecture notes in mathematics (Springer-Verlag), 503.
Responsibility: edited by P. Germain and B. Nayroles.

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