Applications of Methods of Functional Analysis to Problems in Mechanics

Inhaltsverzeichnis

• 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.