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Applications of Methods of Functional Analysis to Problems in Mechanics [electronic resource] : Joint Symposium IUTAM/IMU Held in Marseille, September 1–6, 1975 / edited by Paul Germain, Bernard Nayroles.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 503Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976Description: XXII, 534 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540381655
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 531 23
LOC classification:
  • QC120-168.85
  • QA808.2
Online resources:
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.
In: Springer eBooks
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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.

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