Applications of Methods of Functional Analysis to Problems in Mechanics - Joint Symposium IUTAM/IMU held in Marseille, Sept. 1-6, 1975

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.

List of 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.

Product details

• Assisted by: Germain (Editor), P Germain (Editor), P. Germain (Editor), Nayroles (Editor), Nayroles (Editor), B. Nayroles (Editor)
• Publisher: Springer, Berlin
• Languages: English, French
• Product format: Paperback / Softback
• Released: 26.06.2009
• EAN: 9783540076292
• ISBN: 978-3-540-07629-2
• No. of pages: 534
• Weight: 858 g
• Illustrations: XXII, 534 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics