Applications of Methods of Functional Analysis to Problems in Mechanics: Joint Symposium IUTAM/IMU Held in Marseille, September 1–6, 1975 [1 ed.] 3540076298, 9783540076292 [DJVU]

Table of contents :
Inequations quasi-variationnelles dans les problemes a frontiere libre en hydraulique....Pages 1-7
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics....Pages 8-29
Asymptotic behaviour of solutions of variational inequalities with highly oscillating coefficients....Pages 30-55
Application of convex analysis to the treatment of elastoplastic systems....Pages 56-89
Theory of mixed and hybrid finite-element approximations in linear elasticity....Pages 90-109
Perturbation of domains in elliptic boundary value problems....Pages 110-136
Frost propagation in wet porous media....Pages 137-147
Viscous fluid flow in chemically reacting and diffusing systems....Pages 148-158
Local invertibility conditions for geometrically exact nonlinear rod and shell theories....Pages 159-165
Some applications of functional analysis in the mathematical theory of structures....Pages 166-176
Functional analysis applied to the optimisation of a temperature profile....Pages 177-185
Global free boundary problems and the calculus of variations in the large....Pages 186-192
Proof of existence and uniqueness of tidal waves with general vorticity distributions....Pages 193-195
A critical appraisal of certain contemporary ship model testing techniques....Pages 196-206
Solitary-wave solutions for some model equations for waves in nonlinear dispersive media....Pages 207-218
Hilbertian unilateral problems in viscoelasticity....Pages 219-234
On the norm-dependence of the concept of stability....Pages 235-238
The hodograph method in fluid-dynamics in the light of variational inequalities....Pages 239-257
A new formulation of diphasic incompressible flows in porous media....Pages 258-270
Convergence of solutions in problems of elastic plastic torsion of cylindrical bars....Pages 271-278
On an evolution problem in linear acoustics of viscous fluids....Pages 279-289
On the mechanics of materials with fading memory....Pages 290-294
Contraction semigroups and trend to equilibrium in continuum mechanics....Pages 295-306
The buckling of a thin elastic plate subjected to unilateral conditions....Pages 307-316
Problemes de contact entre corps solides deformables....Pages 317-327
On the existence and uniqueness of a warpening function in the Elastic—plastic torsion of a cylindrical bar with multiply connected cross—section....Pages 328-342
A method for computing the eigenfrequencies of an acoustic resonator....Pages 343-353
Secondary bifurcation of a steady solution into an invariant torus for evolution problems of Navier-Stokes’ type....Pages 354-365
A basic open problem in the theory of elastic stability....Pages 366-373
Some applications and methods of nonlinear functional analysis in finite displacement plate theory....Pages 374-383
Criteres de validite de la theorie non-lineaire des coques elastiques....Pages 384-394
Functional analysis approach for the derivation of hybrid variational functionals....Pages 395-402
Stability of equilibrium in elastic-plastic solids....Pages 403-414
Solutions in the large for certain nonlinear hyperbolic systems arising in shock-wave theory....Pages 415-425
Cauchy problem in a scale of banach spaces and its application to the shallow water theory justification....Pages 426-437
Perturbation results and their applications to problems in structural dynamics....Pages 438-449
On the physical interpretation of certain inner products as a guide to the application of functional analysis....Pages 450-461
Branching and stability for nonlinear shells....Pages 462-473
On a free surface problem....Pages 474-481
Theoretical constructions of selection of actual events from the virtual ones....Pages 482-489
Steadily rotating chains....Pages 490-499
Generating functionals and extremum principles in nonlinear elasticity with applications to nonlinear plate and shallow shell theory....Pages 500-510
Determination de la configuration d’equilibre d’un plasma....Pages 511-520
Elatic-plastic torsion of cylindrical pipes....Pages 521-531